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/Title (Bookmark File PDF Quantum Fields And Strings A Course For Mathematicians Copy - duurzaam.centrumnijmegen.nl)
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BT 34.016 1107.130 Td /F1 30.0 Tf [(Quantum Fields And Strings A Course For )] TJ ET
BT 34.016 1070.500 Td /F1 30.0 Tf [(Mathematicians)] TJ ET
BT 34.016 1013.422 Td /F1 15.0 Tf [(Getting the books )] TJ ET
BT 155.756 1013.422 Td /F1 15.0 Tf [(Quantum Fields And Strings A Course For Mathematicians)] TJ ET
BT 545.891 1013.422 Td /F1 15.0 Tf [( now is not type of challenging means. )] TJ ET
BT 34.016 995.107 Td /F1 15.0 Tf [(You could not lonesome going gone books hoard or library or borrowing from your connections to retrieve them. )] TJ ET
BT 34.016 976.792 Td /F1 15.0 Tf [(This is an totally easy means to specifically acquire guide by on-line. This online publication Quantum Fields And )] TJ ET
BT 34.016 958.477 Td /F1 15.0 Tf [(Strings A Course For Mathematicians can be one of the options to accompany you considering having additional )] TJ ET
BT 34.016 940.162 Td /F1 15.0 Tf [(time.)] TJ ET
BT 34.016 903.847 Td /F1 15.0 Tf [(It will not waste your time. give a positive response me, the e-book will certainly proclaim you new situation to read. )] TJ ET
BT 34.016 885.532 Td /F1 15.0 Tf [(Just invest tiny grow old to door this on-line pronouncement )] TJ ET
BT 433.361 885.532 Td /F1 15.0 Tf [(Quantum Fields And Strings A Course For )] TJ ET
BT 34.016 867.217 Td /F1 15.0 Tf [(Mathematicians)] TJ ET
BT 139.046 867.217 Td /F1 15.0 Tf [( as well as evaluation them wherever you are now.)] TJ ET
BT 34.016 800.902 Td /F1 15.0 Tf [(Geometry and Physics)] TJ ET
BT 184.901 800.902 Td /F1 15.0 Tf [( Jürgen Jost 2009-08-17 "Geometry and Physics" addresses mathematicians wanting to )] TJ ET
BT 34.016 782.587 Td /F1 15.0 Tf [(understand modern physics, and physicists wanting to learn geometry. It gives an introduction to modern quantum )] TJ ET
BT 34.016 764.272 Td /F1 15.0 Tf [(field theory and related areas of theoretical high-energy physics from the perspective of Riemannian geometry, and )] TJ ET
BT 34.016 745.957 Td /F1 15.0 Tf [(an introduction to modern geometry as needed and utilized in modern physics. Jürgen Jost, a well-known research )] TJ ET
BT 34.016 727.642 Td /F1 15.0 Tf [(mathematician and advanced textbook author, also develops important geometric concepts and methods that can )] TJ ET
BT 34.016 709.327 Td /F1 15.0 Tf [(be used for the structures of physics. In particular, he discusses the Lagrangians of the standard model and its )] TJ ET
BT 34.016 691.012 Td /F1 15.0 Tf [(supersymmetric extensions from a geometric perspective.)] TJ ET
BT 34.016 672.697 Td /F1 15.0 Tf [(Advanced Topics in Quantum Field Theory)] TJ ET
BT 318.296 672.697 Td /F1 15.0 Tf [( Mikhail Shifman 2022-04-30 The Second Edition of this systematic, )] TJ ET
BT 34.016 654.382 Td /F1 15.0 Tf [(comprehensive text is revised to include topics developed in the last decade. A new final part presents more than )] TJ ET
BT 34.016 636.067 Td /F1 15.0 Tf [(90 problems with detailed solutions, making this an indispensable book for graduate students and researchers in )] TJ ET
BT 34.016 617.752 Td /F1 15.0 Tf [(theoretical physics.)] TJ ET
BT 34.016 599.437 Td /F1 15.0 Tf [(Advanced Topics in Quantum Field Theory)] TJ ET
BT 318.296 599.437 Td /F1 15.0 Tf [( M. Shifman 2012 Devoted specifically to modern field theory, this is an )] TJ ET
BT 34.016 581.122 Td /F1 15.0 Tf [(indispensable book for graduate students and researchers in theoretical physics. It emphasizes nonperturbative )] TJ ET
BT 34.016 562.807 Td /F1 15.0 Tf [(phenomena and supersymmetry, and discusses various phases of gauge theories, extended objects and their )] TJ ET
BT 34.016 544.492 Td /F1 15.0 Tf [(quantization, and global supersymmetry from a modern perspective.)] TJ ET
BT 34.016 526.177 Td /F1 15.0 Tf [(Topological Quantum Field Theory and Four Manifolds)] TJ ET
BT 396.656 526.177 Td /F1 15.0 Tf [( Jose Labastida 2007-07-18 The emergence of topological )] TJ ET
BT 34.016 507.862 Td /F1 15.0 Tf [(quantum ?eld theory has been one of the most important breakthroughs which have occurred in the context of ma- )] TJ ET
BT 34.016 489.547 Td /F1 15.0 Tf [(ematical physics in the last century, a century characterizedbyindependent developments of the main ideas in both )] TJ ET
BT 34.016 471.232 Td /F1 15.0 Tf [(disciplines, physics and mathematics, which has concluded with two decades of strong interaction between them, )] TJ ET
BT 34.016 452.917 Td /F1 15.0 Tf [(where physics, as in previous centuries, has acted as a source of new mat- matics. Topological quantum ?eld )] TJ ET
BT 34.016 434.602 Td /F1 15.0 Tf [(theories constitute the core of these p- nomena, although the main drivingforce behind it has been the enormous )] TJ ET
BT 34.016 416.287 Td /F1 15.0 Tf [(e?ort made in theoretical particle physics to understand string theory as a theory able to unify the four fundamental )] TJ ET
BT 34.016 397.972 Td /F1 15.0 Tf [(interactions observed in nature. These theories set up a new realm where both disciplines pro?t from each other. )] TJ ET
BT 34.016 379.657 Td /F1 15.0 Tf [(Although the most striking results have appeared on the mathema- )] TJ ET
BT 34.016 361.342 Td /F1 15.0 Tf [(calside,theoreticalphysicshasclearlyalsobene?tted,sincethecorresponding developments have helped better to )] TJ ET
BT 34.016 343.027 Td /F1 15.0 Tf [(understand aspects of the fundamentals of ?eld and string theory.)] TJ ET
BT 34.016 324.712 Td /F1 15.0 Tf [(Mathematical Aspects of Quantum Field Theories)] TJ ET
BT 362.471 324.712 Td /F1 15.0 Tf [( Damien Calaque 2015-01-06 Despite its long history and )] TJ ET
BT 34.016 306.397 Td /F1 15.0 Tf [(stunning experimental successes, the mathematical foundation of perturbative quantum field theory is still a subject )] TJ ET
BT 34.016 288.082 Td /F1 15.0 Tf [(of ongoing research. This book aims at presenting some of the most recent advances in the field, and at reflecting )] TJ ET
BT 34.016 269.767 Td /F1 15.0 Tf [(the diversity of approaches and tools invented and currently employed. Both leading experts and comparative )] TJ ET
BT 34.016 251.452 Td /F1 15.0 Tf [(newcomers to the field present their latest findings, helping readers to gain a better understanding of not only )] TJ ET
BT 34.016 233.137 Td /F1 15.0 Tf [(quantum but also classical field theories. Though the book offers a valuable resource for mathematicians and )] TJ ET
BT 34.016 214.822 Td /F1 15.0 Tf [(physicists alike, the focus is more on mathematical developments. This volume consists of four parts: The first Part )] TJ ET
BT 34.016 196.507 Td /F1 15.0 Tf [(covers local aspects of perturbative quantum field theory, with an emphasis on the axiomatization of the algebra )] TJ ET
BT 34.016 178.192 Td /F1 15.0 Tf [(behind the operator product expansion. The second Part highlights Chern-Simons gauge theories, while the third )] TJ ET
BT 34.016 159.877 Td /F1 15.0 Tf [(examines \(semi-\)classical field theories. In closing, Part 4 addresses factorization homology and factorization )] TJ ET
BT 34.016 141.562 Td /F1 15.0 Tf [(algebras.)] TJ ET
BT 34.016 123.247 Td /F1 15.0 Tf [(Lectures on Field Theory and Topology)] TJ ET
BT 294.971 123.247 Td /F1 15.0 Tf [( Daniel S. Freed 2019-08-23 These lectures recount an application of stable )] TJ ET
BT 34.016 104.932 Td /F1 15.0 Tf [(homotopy theory to a concrete problem in low energy physics: the classification of special phases of matter. While )] TJ ET
BT 34.016 86.617 Td /F1 15.0 Tf [(the joint work of the author and Michael Hopkins is a focal point, a general geometric frame of reference on )] TJ ET
BT 34.016 68.302 Td /F1 15.0 Tf [(quantum field theory is emphasized. Early lectures describe the geometric axiom systems introduced by Graeme )] TJ ET
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BT 34.016 1141.882 Td /F1 15.0 Tf [(Segal and Michael Atiyah in the late 1980s, as well as subsequent extensions. This material provides an entry point )] TJ ET
BT 34.016 1123.567 Td /F1 15.0 Tf [(for mathematicians to delve into quantum field theory. Classification theorems in low dimensions are proved to )] TJ ET
BT 34.016 1105.252 Td /F1 15.0 Tf [(illustrate the framework. The later lectures turn to more specialized topics in field theory, including the relationship )] TJ ET
BT 34.016 1086.937 Td /F1 15.0 Tf [(between invertible field theories and stable homotopy theory, extended unitarity, anomalies, and relativistic free )] TJ ET
BT 34.016 1068.622 Td /F1 15.0 Tf [(fermion systems. The accompanying mathematical explanations touch upon \(higher\) category theory, duals to the )] TJ ET
BT 34.016 1050.307 Td /F1 15.0 Tf [(sphere spectrum, equivariant spectra, differential cohomology, and Dirac operators. The outcome of computations )] TJ ET
BT 34.016 1031.992 Td /F1 15.0 Tf [(made using the Adams spectral sequence is presented and compared to results in the condensed matter literature )] TJ ET
BT 34.016 1013.677 Td /F1 15.0 Tf [(obtained by very different means. The general perspectives and specific applications fuse into a compelling story at )] TJ ET
BT 34.016 995.362 Td /F1 15.0 Tf [(the interface of contemporary mathematics and theoretical physics.)] TJ ET
BT 34.016 977.047 Td /F1 15.0 Tf [(Mathematical Aspects of Quantum Field Theory)] TJ ET
BT 350.801 977.047 Td /F1 15.0 Tf [( Edson de Faria 2010-08-12 Over the last century quantum field )] TJ ET
BT 34.016 958.732 Td /F1 15.0 Tf [(theory has made a significant impact on the formulation and solution of mathematical problems and inspired )] TJ ET
BT 34.016 940.417 Td /F1 15.0 Tf [(powerful advances in pure mathematics. However, most accounts are written by physicists, and mathematicians )] TJ ET
BT 34.016 922.102 Td /F1 15.0 Tf [(struggle to find clear definitions and statements of the concepts involved. This graduate-level introduction presents )] TJ ET
BT 34.016 903.787 Td /F1 15.0 Tf [(the basic ideas and tools from quantum field theory to a mathematical audience. Topics include classical and )] TJ ET
BT 34.016 885.472 Td /F1 15.0 Tf [(quantum mechanics, classical field theory, quantization of classical fields, perturbative quantum field theory, )] TJ ET
BT 34.016 867.157 Td /F1 15.0 Tf [(renormalization, and the standard model. The material is also accessible to physicists seeking a better )] TJ ET
BT 34.016 848.842 Td /F1 15.0 Tf [(understanding of the mathematical background, providing the necessary tools from differential geometry on such )] TJ ET
BT 34.016 830.527 Td /F1 15.0 Tf [(topics as connections and gauge fields, vector and spinor bundles, symmetries and group representations.)] TJ ET
BT 34.016 812.212 Td /F1 15.0 Tf [(Towards the Mathematics of Quantum Field Theory)] TJ ET
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34.016 809.737 m 375.806 809.737 l S
BT 375.806 812.212 Td /F1 15.0 Tf [( Frédéric Paugam 2014-02-20 This ambitious and original book )] TJ ET
BT 34.016 793.897 Td /F1 15.0 Tf [(sets out to introduce to mathematicians \(even including graduate students \) the mathematical methods of theoretical )] TJ ET
BT 34.016 775.582 Td /F1 15.0 Tf [(and experimental quantum field theory, with an emphasis on coordinate-free presentations of the mathematical )] TJ ET
BT 34.016 757.267 Td /F1 15.0 Tf [(objects in use. This in turn promotes the interaction between mathematicians and physicists by supplying a common )] TJ ET
BT 34.016 738.952 Td /F1 15.0 Tf [(and flexible language for the good of both communities, though mathematicians are the primary target. This )] TJ ET
BT 34.016 720.637 Td /F1 15.0 Tf [(reference work provides a coherent and complete mathematical toolbox for classical and quantum field theory, )] TJ ET
BT 34.016 702.322 Td /F1 15.0 Tf [(based on categorical and homotopical methods, representing an original contribution to the literature. The first part )] TJ ET
BT 34.016 684.007 Td /F1 15.0 Tf [(of the book introduces the mathematical methods needed to work with the physicists' spaces of fields, including )] TJ ET
BT 34.016 665.692 Td /F1 15.0 Tf [(parameterized and functional differential geometry, functorial analysis, and the homotopical geometric theory of non-)] TJ ET
BT 34.016 647.377 Td /F1 15.0 Tf [(linear partial differential equations, with applications to general gauge theories. The second part presents a large )] TJ ET
BT 34.016 629.062 Td /F1 15.0 Tf [(family of examples of classical field theories, both from experimental and theoretical physics, while the third part )] TJ ET
BT 34.016 610.747 Td /F1 15.0 Tf [(provides an introduction to quantum field theory, presents various renormalization methods, and discusses the )] TJ ET
BT 34.016 592.432 Td /F1 15.0 Tf [(quantization of factorization algebras.)] TJ ET
BT 34.016 574.117 Td /F1 15.0 Tf [(Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional)] TJ ET
0.3 w 0 J [ ] 0 d
34.016 571.642 m 595.931 571.642 l S
BT 595.931 574.117 Td /F1 15.0 Tf [( Enno Keßler 2019-08-28 This )] TJ ET
BT 34.016 555.802 Td /F1 15.0 Tf [(book treats the two-dimensional non-linear supersymmetric sigma model or spinning string from the perspective of )] TJ ET
BT 34.016 537.487 Td /F1 15.0 Tf [(supergeometry. The objective is to understand its symmetries as geometric properties of super Riemann surfaces, )] TJ ET
BT 34.016 519.172 Td /F1 15.0 Tf [(which are particular complex super manifolds of dimension 1|1. The first part gives an introduction to the super )] TJ ET
BT 34.016 500.857 Td /F1 15.0 Tf [(differential geometry of families of super manifolds. Appropriate generalizations of principal bundles, smooth )] TJ ET
BT 34.016 482.542 Td /F1 15.0 Tf [(families of complex manifolds and integration theory are developed. The second part studies uniformization, U\(1\)-)] TJ ET
BT 34.016 464.227 Td /F1 15.0 Tf [(structures and connections on Super Riemann surfaces and shows how the latter can be viewed as extensions of )] TJ ET
BT 34.016 445.912 Td /F1 15.0 Tf [(Riemann surfaces by a gravitino field. A natural geometric action functional on super Riemann surfaces is shown to )] TJ ET
BT 34.016 427.597 Td /F1 15.0 Tf [(reproduce the action functional of the non-linear supersymmetric sigma model using a component field formalism. )] TJ ET
BT 34.016 409.282 Td /F1 15.0 Tf [(The conserved currents of this action can be identified as infinitesimal deformations of the super Riemann surface. )] TJ ET
BT 34.016 390.967 Td /F1 15.0 Tf [(This is in surprising analogy to the theory of Riemann surfaces and the harmonic action functional on them. This )] TJ ET
BT 34.016 372.652 Td /F1 15.0 Tf [(volume is aimed at both theoretical physicists interested in a careful treatment of the subject and mathematicians )] TJ ET
BT 34.016 354.337 Td /F1 15.0 Tf [(who want to become acquainted with the potential applications of this beautiful theory.)] TJ ET
BT 34.016 336.022 Td /F1 15.0 Tf [(Motives, Quantum Field Theory, and Pseudodifferential Operators)] TJ ET
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34.016 333.547 m 471.701 333.547 l S
BT 471.701 336.022 Td /F1 15.0 Tf [( Alan L. Carey 2010 This volume contains articles )] TJ ET
BT 34.016 317.707 Td /F1 15.0 Tf [(related to the conference ``Motives, Quantum Field Theory, and Pseudodifferntial Operators'' held at Boston )] TJ ET
BT 34.016 299.392 Td /F1 15.0 Tf [(University in June 2008, with partial support from the Clay Mathematics Institute, Boston University, and the )] TJ ET
BT 34.016 281.077 Td /F1 15.0 Tf [(National Science Foundation. There are deep but only partially understood connections between the three )] TJ ET
BT 34.016 262.762 Td /F1 15.0 Tf [(conference fields, so this book is intended both to explain the known connections and to offer directions for further )] TJ ET
BT 34.016 244.447 Td /F1 15.0 Tf [(research. In keeping with the organization of the conference, this book contains introductory lectures on each of the )] TJ ET
BT 34.016 226.132 Td /F1 15.0 Tf [(conference themes and research articles on current topics in these fields. The introductory lectures are suitable for )] TJ ET
BT 34.016 207.817 Td /F1 15.0 Tf [(graduate students and new Ph.D.'s in both mathematics and theoretical physics, as well as for senior researchers, )] TJ ET
BT 34.016 189.502 Td /F1 15.0 Tf [(since few mathematicians are expert in any two of the conference areas. Among the topics discussed in the )] TJ ET
BT 34.016 171.187 Td /F1 15.0 Tf [(introductory lectures are the appearance of multiple zeta values both as periods of motives and in Feynman integral )] TJ ET
BT 34.016 152.872 Td /F1 15.0 Tf [(calculations in perturbative QFT, the use of Hopf algebra techniques for renormalization in QFT, and regularized )] TJ ET
BT 34.016 134.557 Td /F1 15.0 Tf [(traces of pseudodifferential operators. The motivic interpretation of multiple zeta values points to a fundamental link )] TJ ET
BT 34.016 116.242 Td /F1 15.0 Tf [(between motives and QFT, and there are strong parallels between regularized traces and Feynman integral )] TJ ET
BT 34.016 97.927 Td /F1 15.0 Tf [(techniques. The research articles cover a range of topics in areas related to the conference themes, including )] TJ ET
BT 34.016 79.612 Td /F1 15.0 Tf [(geometric, Hopf algebraic, analytic, motivic and computational aspects of quantum field theory and mirror )] TJ ET
BT 34.016 61.297 Td /F1 15.0 Tf [(symmetry. There is no unifying theory of the conference areas at present, so the research articles present the )] TJ ET
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BT 34.016 1141.882 Td /F1 15.0 Tf [(current state of the art pointing towards such a unification.)] TJ ET
BT 34.016 1123.567 Td /F1 15.0 Tf [(Quantum Fields and Strings)] TJ ET
0.3 w 0 J [ ] 0 d
34.016 1121.092 m 219.926 1121.092 l S
BT 219.926 1123.567 Td /F1 15.0 Tf [( Pierre Deligne 1999-01-01 Ideas from quantum field theory and string theory have had )] TJ ET
BT 34.016 1105.252 Td /F1 15.0 Tf [(considerable impact on mathematics over the past 20 years. Advances in many different areas have been inspired )] TJ ET
BT 34.016 1086.937 Td /F1 15.0 Tf [(by insights from physics. In 1996-97 the Institute for Advanced Study \(Princeton, NJ\) organized a special year-long )] TJ ET
BT 34.016 1068.622 Td /F1 15.0 Tf [(program designed to teach mathematicians the basic physical ideas which underlie the mathematical applications. )] TJ ET
BT 34.016 1050.307 Td /F1 15.0 Tf [(The purpose is eloquently stated in a letter written by Robert MacPherson: ``The goal is to create and convey an )] TJ ET
BT 34.016 1031.992 Td /F1 15.0 Tf [(understanding, in terms congenial to mathematicians, of some fundamental notions of physics ... [and to] develop )] TJ ET
BT 34.016 1013.677 Td /F1 15.0 Tf [(the sort of intuition common among physicists for those who are used to thought processes stemming from )] TJ ET
BT 34.016 995.362 Td /F1 15.0 Tf [(geometry and algebra.'' These volumes are a written record of the program. They contain notes from several long )] TJ ET
BT 34.016 977.047 Td /F1 15.0 Tf [(and many short courses covering various aspects of quantum field theory and perturbative string theory. The )] TJ ET
BT 34.016 958.732 Td /F1 15.0 Tf [(courses were given by leading physicists and the notes were written either by the speakers or by mathematicians )] TJ ET
BT 34.016 940.417 Td /F1 15.0 Tf [(who participated in the program. The book also includes problems and solutions worked out by the editors and other )] TJ ET
BT 34.016 922.102 Td /F1 15.0 Tf [(leading participants. Interspersed are mathematical texts with background material and commentary on some topics )] TJ ET
BT 34.016 903.787 Td /F1 15.0 Tf [(covered in the lectures. These two volumes present the first truly comprehensive introduction to this field aimed at a )] TJ ET
BT 34.016 885.472 Td /F1 15.0 Tf [(mathematics audience. They offer a unique opportunity for mathematicians and mathematical physicists to learn )] TJ ET
BT 34.016 867.157 Td /F1 15.0 Tf [(about the beautiful and difficult subjects of quantum field theory and string theory.)] TJ ET
BT 34.016 848.842 Td /F1 15.0 Tf [(String Field Theory)] TJ ET
BT 160.721 848.842 Td /F1 15.0 Tf [( Harold Erbin 2021 This textbook provides an introduction to string field theory \(SFT\). String )] TJ ET
BT 34.016 830.527 Td /F1 15.0 Tf [(theory is usually formulated in the worldsheet formalism, which describes a single string \(first-quantization\). While )] TJ ET
BT 34.016 812.212 Td /F1 15.0 Tf [(this approach is intuitive and could be pushed far due to the exceptional properties of two-dimensional theories, it )] TJ ET
BT 34.016 793.897 Td /F1 15.0 Tf [(becomes cumbersome for some questions or even fails at a more fundamental level. These motivations have led to )] TJ ET
BT 34.016 775.582 Td /F1 15.0 Tf [(the development of SFT, a description of string theory using the field theory formalism \(second-quantization\). As a )] TJ ET
BT 34.016 757.267 Td /F1 15.0 Tf [(field theory, SFT provides a rigorous and constructive formulation of string theory. The main focus of the book is the )] TJ ET
BT 34.016 738.952 Td /F1 15.0 Tf [(construction of the closed bosonic SFT. The accent is put on providing the reader with the foundations, conceptual )] TJ ET
BT 34.016 720.637 Td /F1 15.0 Tf [(understanding and intuition of what SFT is. After reading this book, the reader is able to study the applications from )] TJ ET
BT 34.016 702.322 Td /F1 15.0 Tf [(the literature. The book is organized in two parts. The first part reviews the notions of the worldsheet theory that are )] TJ ET
BT 34.016 684.007 Td /F1 15.0 Tf [(necessary to build SFT \(worldsheet path integral, CFT and BRST quantization\). The second part starts by )] TJ ET
BT 34.016 665.692 Td /F1 15.0 Tf [(introducing general concepts of SFT from the BRST quantization. Then, it introduces off-shell string amplitudes )] TJ ET
BT 34.016 647.377 Td /F1 15.0 Tf [(before providing a Feynman diagrams interpretation from which the building blocks of SFT are extracted. After )] TJ ET
BT 34.016 629.062 Td /F1 15.0 Tf [(constructing the closed SFT, the author outlines the proofs of several important properties such as background )] TJ ET
BT 34.016 610.747 Td /F1 15.0 Tf [(independence, unitarity and crossing symmetry. Finally, the generalization to the superstring is also discussed.)] TJ ET
BT 34.016 592.432 Td /F1 15.0 Tf [(An Invitation to Quantum Field Theory)] TJ ET
BT 286.631 592.432 Td /F1 15.0 Tf [( Luis Alvarez-Gaumé 2011-11-26 This book provides an introduction to )] TJ ET
BT 34.016 574.117 Td /F1 15.0 Tf [(Quantum Field Theory \(QFT\) at an elementary level—with only special relativity, electromagnetism and quantum )] TJ ET
BT 34.016 555.802 Td /F1 15.0 Tf [(mechanics as prerequisites. For this fresh approach to teaching QFT, based on numerous lectures and courses )] TJ ET
BT 34.016 537.487 Td /F1 15.0 Tf [(given by the authors, a representative sample of topics has been selected containing some of the more innovative, )] TJ ET
BT 34.016 519.172 Td /F1 15.0 Tf [(challenging or subtle concepts. They are presented with a minimum of technical details, the discussion of the main )] TJ ET
BT 34.016 500.857 Td /F1 15.0 Tf [(ideas being more important than the presentation of the typically very technical mathematical details necessary to )] TJ ET
BT 34.016 482.542 Td /F1 15.0 Tf [(obtain the final results. Special attention is given to the realization of symmetries in particle physics: global and local )] TJ ET
BT 34.016 464.227 Td /F1 15.0 Tf [(symmetries, explicit, spontaneously broken, and anomalous continuous symmetries, as well as discrete )] TJ ET
BT 34.016 445.912 Td /F1 15.0 Tf [(symmetries. Beyond providing an overview of the standard model of the strong, weak and electromagnetic )] TJ ET
BT 34.016 427.597 Td /F1 15.0 Tf [(interactions and the current understanding of the origin of mass, the text enumerates the general features of )] TJ ET
BT 34.016 409.282 Td /F1 15.0 Tf [(renormalization theory as well as providing a cursory description of effective field theories and the problem of )] TJ ET
BT 34.016 390.967 Td /F1 15.0 Tf [(naturalness in physics. Among the more advanced topics the reader will find are an outline of the first principles )] TJ ET
BT 34.016 372.652 Td /F1 15.0 Tf [(derivation of the CPT theorem and the spin-statistics connection. As indicated by the title, the main aim of this text is )] TJ ET
BT 34.016 354.337 Td /F1 15.0 Tf [(to motivate the reader to study QFT by providing a self-contained and approachable introduction to the most )] TJ ET
BT 34.016 336.022 Td /F1 15.0 Tf [(exciting and challenging aspects of this successful theoretical framework.)] TJ ET
BT 34.016 317.707 Td /F1 15.0 Tf [(Advanced Concepts in Particle and Field Theory)] TJ ET
BT 354.986 317.707 Td /F1 15.0 Tf [( Tristan Hübsch 2015-06-11 Uniting the usually distinct areas of )] TJ ET
BT 34.016 299.392 Td /F1 15.0 Tf [(particle physics and quantum field theory, gravity and general relativity, this expansive and comprehensive textbook )] TJ ET
BT 34.016 281.077 Td /F1 15.0 Tf [(of fundamental and theoretical physics describes the quest to consolidate the basic building blocks of nature, by )] TJ ET
BT 34.016 262.762 Td /F1 15.0 Tf [(journeying through contemporary discoveries in the field, and analysing elementary particles and their interactions. )] TJ ET
BT 34.016 244.447 Td /F1 15.0 Tf [(Designed for advanced undergraduates and graduate students and abounding in worked examples and detailed )] TJ ET
BT 34.016 226.132 Td /F1 15.0 Tf [(derivations, as well as including historical anecdotes and philosophical and methodological perspectives, this )] TJ ET
BT 34.016 207.817 Td /F1 15.0 Tf [(textbook provides students with a unified understanding of all matter at the fundamental level. Topics range from )] TJ ET
BT 34.016 189.502 Td /F1 15.0 Tf [(gauge principles, particle decay and scattering cross-sections, the Higgs mechanism and mass generation, to )] TJ ET
BT 34.016 171.187 Td /F1 15.0 Tf [(spacetime geometries and supersymmetry. By combining historically separate areas of study and presenting them )] TJ ET
BT 34.016 152.872 Td /F1 15.0 Tf [(in a logically consistent manner, students will appreciate the underlying similarities and conceptual connections to )] TJ ET
BT 34.016 134.557 Td /F1 15.0 Tf [(be made in these fields.)] TJ ET
BT 34.016 116.242 Td /F1 15.0 Tf [(Geometric Methods for Quantum Field Theory)] TJ ET
BT 339.956 116.242 Td /F1 15.0 Tf [( Hernan Ocampo 2001-04-30 Both mathematics and mathematical )] TJ ET
BT 34.016 97.927 Td /F1 15.0 Tf [(physics have many active areas of research where the interplay between geometry and quantum field theory has )] TJ ET
BT 34.016 79.612 Td /F1 15.0 Tf [(proved extremely fruitful. Duality, gauge field theory, geometric quantization, Seiberg–Witten theory, spectral )] TJ ET
BT 34.016 61.297 Td /F1 15.0 Tf [(properties and families of Dirac operators, and the geometry of loop groups offer some striking recent examples of )] TJ ET
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BT 34.016 1141.882 Td /F1 15.0 Tf [(modern topics which stand on the borderline between geometry and analysis on the one hand and quantum field )] TJ ET
BT 34.016 1123.567 Td /F1 15.0 Tf [(theory on the other, where the physicist's and the mathematician's perspective complement each other, leading to )] TJ ET
BT 34.016 1105.252 Td /F1 15.0 Tf [(new mathematical and physical concepts and results. This volume introduces the reader to some basic )] TJ ET
BT 34.016 1086.937 Td /F1 15.0 Tf [(mathematical and physical tools and methods required to follow the recent developments in some active areas of )] TJ ET
BT 34.016 1068.622 Td /F1 15.0 Tf [(mathematical physics, including duality, gauge field theory, geometric quantization, Seiberg-Witten theory, spectral )] TJ ET
BT 34.016 1050.307 Td /F1 15.0 Tf [(properties and families of Dirac operators, and the geometry of loop groups. It comprises seven self-contained )] TJ ET
BT 34.016 1031.992 Td /F1 15.0 Tf [(lectures, which should progressively give the reader a precise idea of some of the techniques used in these areas, )] TJ ET
BT 34.016 1013.677 Td /F1 15.0 Tf [(as well as a few short communications presented by young participants at the school. )] TJ ET
BT 34.016 995.362 Td /F1 15.0 Tf [(Contents:Lectures:Introduction to Differentiable Manifolds and Symplectic Geometry \(T Wurzbacher\)Spectral )] TJ ET
BT 34.016 977.047 Td /F1 15.0 Tf [(Properties of the Dirac Operator and Geometrical Structures \(O Hijazi\)Quantum Theory of Fermion Systems: Topics )] TJ ET
BT 34.016 958.732 Td /F1 15.0 Tf [(Between Physics and Mathematics \(E Langmann\)Heat Equation and Spectral Geometry. Introduction for Beginners )] TJ ET
BT 34.016 940.417 Td /F1 15.0 Tf [(\(K Wojciechowski\)Renormalized Traces as a Geometric Tool \(S Paycha\)Concepts in Gauge Theory Leading to )] TJ ET
BT 34.016 922.102 Td /F1 15.0 Tf [(Electric-Magnetic Duality \(T S Tsun\)An Introduction to Seiberg-Witten Theory \(H Ocampo\)Short )] TJ ET
BT 34.016 903.787 Td /F1 15.0 Tf [(Communications:Remarks on Duality, Analytical Torsion and Gaussian Integration in Antisymmetric Field Theories )] TJ ET
BT 34.016 885.472 Td /F1 15.0 Tf [(\(A Cardona\)Multiplicative Anomaly for the ?-Regularized Determinant \(C Ducourtioux\)On Cohomogeneity One )] TJ ET
BT 34.016 867.157 Td /F1 15.0 Tf [(Riemannian Manifolds \(S M B Kashani\)A Differentiable Calculus on the Space of Loops and Connections \(M )] TJ ET
BT 34.016 848.842 Td /F1 15.0 Tf [(Reiris\)Quantum Hall Conductivity and Topological Invariants \(A Reyes\)Determinant of the Dirac Operator Over the )] TJ ET
BT 34.016 830.527 Td /F1 15.0 Tf [(Interval [0,?] \(F Torres-Ardila\) Readership: Mathematicians and physicists. Keywords:Reviews:“Many texts in )] TJ ET
BT 34.016 812.212 Td /F1 15.0 Tf [(theoretical physics do not contain a rigorous account of the mathematics they employ. However, this text does, and )] TJ ET
BT 34.016 793.897 Td /F1 15.0 Tf [(it omits no steps in the logic, thus making it very accessible to the mathematical community. Also it emphasizes )] TJ ET
BT 34.016 775.582 Td /F1 15.0 Tf [(physics, providing a link between the two disciplines which one rarely finds in a text.”Contemporary Physics)] TJ ET
BT 34.016 757.267 Td /F1 15.0 Tf [(Quantum Mathematical Physics)] TJ ET
BT 244.916 757.267 Td /F1 15.0 Tf [( Felix Finster 2016-02-24 Quantum physics has been highly successful for more )] TJ ET
BT 34.016 738.952 Td /F1 15.0 Tf [(than 90 years. Nevertheless, a rigorous construction of interacting quantum field theory is still missing. Moreover, it )] TJ ET
BT 34.016 720.637 Td /F1 15.0 Tf [(is still unclear how to combine quantum physics and general relativity in a unified physical theory. Attacking these )] TJ ET
BT 34.016 702.322 Td /F1 15.0 Tf [(challenging problems of contemporary physics requires highly advanced mathematical methods as well as radically )] TJ ET
BT 34.016 684.007 Td /F1 15.0 Tf [(new physical concepts. This book presents different physical ideas and mathematical approaches in this direction. It )] TJ ET
BT 34.016 665.692 Td /F1 15.0 Tf [(contains a carefully selected cross-section of lectures which took place in autumn 2014 at the sixth conference )] TJ ET
BT 34.016 647.377 Td /F1 15.0 Tf [(``Quantum Mathematical Physics - A Bridge between Mathematics and Physics'' in Regensburg, Germany. In the )] TJ ET
BT 34.016 629.062 Td /F1 15.0 Tf [(tradition of the other proceedings covering this series of conferences, a special feature of this book is the exposition )] TJ ET
BT 34.016 610.747 Td /F1 15.0 Tf [(of a wide variety of approaches, with the intention to facilitate a comparison. The book is mainly addressed to )] TJ ET
BT 34.016 592.432 Td /F1 15.0 Tf [(mathematicians and physicists who are interested in fundamental questions of mathematical physics. It allows the )] TJ ET
BT 34.016 574.117 Td /F1 15.0 Tf [(reader to obtain a broad and up-to-date overview of a fascinating active research area.)] TJ ET
BT 34.016 555.802 Td /F1 15.0 Tf [(Five Lectures on Supersymmetry)] TJ ET
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34.016 553.327 m 254.081 553.327 l S
BT 254.081 555.802 Td /F1 15.0 Tf [( Daniel S. Freed The lectures featured in this book treat fundamental concepts )] TJ ET
BT 34.016 537.487 Td /F1 15.0 Tf [(necessary for understanding the physics behind these mathematical applications. Freed approaches the topic with )] TJ ET
BT 34.016 519.172 Td /F1 15.0 Tf [(the assumption that the basic notions of supersymmetric field theory are unfamiliar to most mathematicians. He )] TJ ET
BT 34.016 500.857 Td /F1 15.0 Tf [(presents the material intending to impart a firm grounding in the elementary ideas.)] TJ ET
BT 34.016 482.542 Td /F1 15.0 Tf [(Mathematical Foundations of Quantum Field Theory and Perturbative String Theory)] TJ ET
BT 588.416 482.542 Td /F1 15.0 Tf [( Hisham Sati 2011-12-07 )] TJ ET
BT 34.016 464.227 Td /F1 15.0 Tf [(Conceptual progress in fundamental theoretical physics is linked with the search for the suitable mathematical )] TJ ET
BT 34.016 445.912 Td /F1 15.0 Tf [(structures that model the physical systems. Quantum field theory \(QFT\) has proven to be a rich source of ideas for )] TJ ET
BT 34.016 427.597 Td /F1 15.0 Tf [(mathematics for a long time. However, fundamental questions such as ``What is a QFT?'' did not have satisfactory )] TJ ET
BT 34.016 409.282 Td /F1 15.0 Tf [(mathematical answers, especially on spaces with arbitrary topology, fundamental for the formulation of perturbative )] TJ ET
BT 34.016 390.967 Td /F1 15.0 Tf [(string theory. This book contains a collection of papers highlighting the mathematical foundations of QFT and its )] TJ ET
BT 34.016 372.652 Td /F1 15.0 Tf [(relevance to perturbative string theory as well as the deep techniques that have been emerging in the last few )] TJ ET
BT 34.016 354.337 Td /F1 15.0 Tf [(years. The papers are organized under three main chapters: Foundations for Quantum Field Theory, Quantization )] TJ ET
BT 34.016 336.022 Td /F1 15.0 Tf [(of Field Theories, and Two-Dimensional Quantum Field Theories. An introduction, written by the editors, provides )] TJ ET
BT 34.016 317.707 Td /F1 15.0 Tf [(an overview of the main underlying themes that bind together the papers in the volume.)] TJ ET
BT 34.016 299.392 Td /F1 15.0 Tf [(String-Math 2013)] TJ ET
0.3 w 0 J [ ] 0 d
34.016 296.917 m 149.066 296.917 l S
BT 149.066 299.392 Td /F1 15.0 Tf [( Ron Donagi, Michael R. Douglas 2014-12-02 This volume contains the proceedings of the )] TJ ET
BT 34.016 281.077 Td /F1 15.0 Tf [(conference `String-Math 2013' which was held June 17-21, 2013 at the Simons Center for Geometry and Physics at )] TJ ET
BT 34.016 262.762 Td /F1 15.0 Tf [(Stony Brook University. This was the third in a series of annual meetings devoted to the interface of mathematics )] TJ ET
BT 34.016 244.447 Td /F1 15.0 Tf [(and string theory. Topics include the latest developments in supersymmetric and topological field theory, localization )] TJ ET
BT 34.016 226.132 Td /F1 15.0 Tf [(techniques, the mathematics of quantum field theory, superstring compactification and duality, scattering amplitudes )] TJ ET
BT 34.016 207.817 Td /F1 15.0 Tf [(and their relation to Hodge theory, mirror symmetry and two-dimensional conformal field theory, and many more. )] TJ ET
BT 34.016 189.502 Td /F1 15.0 Tf [(This book will be important reading for researchers and students in the area, and for all mathematicians and string )] TJ ET
BT 34.016 171.187 Td /F1 15.0 Tf [(theorists who want to update themselves on developments in the math-string interface.)] TJ ET
BT 34.016 152.872 Td /F1 15.0 Tf [(Topology and Quantum Theory in Interaction)] TJ ET
BT 331.661 152.872 Td /F1 15.0 Tf [( David Ayala 2018-10-25 This volume contains the proceedings of the )] TJ ET
BT 34.016 134.557 Td /F1 15.0 Tf [(NSF-CBMS Regional Conference on Topological and Geometric Methods in QFT, held from July 31–August 4, )] TJ ET
BT 34.016 116.242 Td /F1 15.0 Tf [(2017, at Montana State University in Bozeman, Montana. In recent decades, there has been a movement to )] TJ ET
BT 34.016 97.927 Td /F1 15.0 Tf [(axiomatize quantum field theory into a mathematical structure. In a different direction, one can ask to test these )] TJ ET
BT 34.016 79.612 Td /F1 15.0 Tf [(axiom systems against physics. Can they be used to rederive known facts about quantum theories or, better yet, be )] TJ ET
BT 34.016 61.297 Td /F1 15.0 Tf [(the framework in which to solve open problems? Recently, Freed and Hopkins have provided a solution to a )] TJ ET
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BT 34.016 1141.882 Td /F1 15.0 Tf [(classification problem in condensed matter theory, which is ultimately based on the field theory axioms of Graeme )] TJ ET
BT 34.016 1123.567 Td /F1 15.0 Tf [(Segal. Papers contained in this volume amplify various aspects of the Freed–Hopkins program, develop some )] TJ ET
BT 34.016 1105.252 Td /F1 15.0 Tf [(category theory, which lies behind the cobordism hypothesis, the major structure theorem for topological field )] TJ ET
BT 34.016 1086.937 Td /F1 15.0 Tf [(theories, and relate to Costello's approach to perturbative quantum field theory. Two papers on the latter use this )] TJ ET
BT 34.016 1068.622 Td /F1 15.0 Tf [(framework to recover fundamental results about some physical theories: two-dimensional sigma-models and the )] TJ ET
BT 34.016 1050.307 Td /F1 15.0 Tf [(bosonic string. Perhaps it is surprising that such sparse axiom systems encode enough structure to prove important )] TJ ET
BT 34.016 1031.992 Td /F1 15.0 Tf [(results in physics. These successes can be taken as encouragement that the axiom systems are at least on the )] TJ ET
BT 34.016 1013.677 Td /F1 15.0 Tf [(right track toward articulating what a quantum field theory is.)] TJ ET
BT 34.016 995.362 Td /F1 15.0 Tf [(A Short Introduction to String Theory)] TJ ET
BT 277.466 995.362 Td /F1 15.0 Tf [( Thomas Mohaupt 2022-03-31 Suitable for graduate students in physics and )] TJ ET
BT 34.016 977.047 Td /F1 15.0 Tf [(mathematics, this book presents a concise and pedagogical introduction to string theory. It focuses on explaining )] TJ ET
BT 34.016 958.732 Td /F1 15.0 Tf [(the key concepts of string theory, such as bosonic strings, D-branes, supersymmetry and superstrings, and on )] TJ ET
BT 34.016 940.417 Td /F1 15.0 Tf [(clarifying the relationship between particles, fields and strings, without assuming an advanced background in )] TJ ET
BT 34.016 922.102 Td /F1 15.0 Tf [(particle theory or quantum field theory, making it widely accessible to interested readers from a range of )] TJ ET
BT 34.016 903.787 Td /F1 15.0 Tf [(backgrounds. Important ideas underpinning current research, such as partition functions, compactification, gauge )] TJ ET
BT 34.016 885.472 Td /F1 15.0 Tf [(symmetries and T-duality are analysed both from the world-sheet \(conformal field theory\) and the space-time )] TJ ET
BT 34.016 867.157 Td /F1 15.0 Tf [(\(effective field theory\) perspective. Ideal for either self-study or a one semester graduate course, A Short )] TJ ET
BT 34.016 848.842 Td /F1 15.0 Tf [(Introduction to String Theory is an essential resource for students studying string theory, containing examples and )] TJ ET
BT 34.016 830.527 Td /F1 15.0 Tf [(homework problems to develop understanding, with fully worked solutions available to instructors.)] TJ ET
BT 34.016 812.212 Td /F1 15.0 Tf [(The Abel Prize 2013-2017)] TJ ET
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34.016 809.737 m 208.271 809.737 l S
BT 208.271 812.212 Td /F1 15.0 Tf [( Helge Holden 2019-02-23 The book presents the winners of the Abel Prize in )] TJ ET
BT 34.016 793.897 Td /F1 15.0 Tf [(mathematics for the period 2013–17: Pierre Deligne \(2013\); Yakov G. Sinai \(2014\); John Nash Jr. and Louis )] TJ ET
BT 34.016 775.582 Td /F1 15.0 Tf [(Nirenberg \(2015\); Sir Andrew Wiles \(2016\); and Yves Meyer \(2017\). The profiles feature autobiographical )] TJ ET
BT 34.016 757.267 Td /F1 15.0 Tf [(information as well as a scholarly description of each mathematician’s work. In addition, each profile contains a )] TJ ET
BT 34.016 738.952 Td /F1 15.0 Tf [(Curriculum Vitae, a complete bibliography, and the full citation from the prize committee. The book also includes )] TJ ET
BT 34.016 720.637 Td /F1 15.0 Tf [(photos for the period 2003–2017 showing many of the additional activities connected with the Abel Prize. As an )] TJ ET
BT 34.016 702.322 Td /F1 15.0 Tf [(added feature, video interviews with the Laureates as well as videos from the prize ceremony are provided at an )] TJ ET
BT 34.016 684.007 Td /F1 15.0 Tf [(accompanying website \(http://extras.springer.com/\). This book follows on The Abel Prize: 2003-2007. The First Five )] TJ ET
BT 34.016 665.692 Td /F1 15.0 Tf [(Years \(Springer, 2010\) and The Abel Prize 2008-2012 \(Springer 2014\), which profile the work of the previous Abel )] TJ ET
BT 34.016 647.377 Td /F1 15.0 Tf [(Prize winners.)] TJ ET
BT 34.016 629.062 Td /F1 15.0 Tf [(Factorization Algebras in Quantum Field Theory:)] TJ ET
BT 356.636 629.062 Td /F1 15.0 Tf [( Kevin Costello 2016-12-15 Factorization algebras are local-to-)] TJ ET
BT 34.016 610.747 Td /F1 15.0 Tf [(global objects that play a role in classical and quantum field theory which is similar to the role of sheaves in )] TJ ET
BT 34.016 592.432 Td /F1 15.0 Tf [(geometry: they conveniently organize complicated information. Their local structure encompasses examples like )] TJ ET
BT 34.016 574.117 Td /F1 15.0 Tf [(associative and vertex algebras; in these examples, their global structure encompasses Hochschild homology and )] TJ ET
BT 34.016 555.802 Td /F1 15.0 Tf [(conformal blocks. In this first volume, the authors develop the theory of factorization algebras in depth, but with a )] TJ ET
BT 34.016 537.487 Td /F1 15.0 Tf [(focus upon examples exhibiting their use in field theory, such as the recovery of a vertex algebra from a chiral )] TJ ET
BT 34.016 519.172 Td /F1 15.0 Tf [(conformal field theory and a quantum group from Abelian Chern-Simons theory. Expositions of the relevant )] TJ ET
BT 34.016 500.857 Td /F1 15.0 Tf [(background in homological algebra, sheaves and functional analysis are also included, thus making this book ideal )] TJ ET
BT 34.016 482.542 Td /F1 15.0 Tf [(for researchers and graduates working at the interface between mathematics and physics.)] TJ ET
BT 34.016 464.227 Td /F1 15.0 Tf [(Noncommutative Geometry, Quantum Fields and Motives)] TJ ET
BT 415.811 464.227 Td /F1 15.0 Tf [( Alain Connes 2019-03-13 The unifying theme of this book )] TJ ET
BT 34.016 445.912 Td /F1 15.0 Tf [(is the interplay among noncommutative geometry, physics, and number theory. The two main objects of )] TJ ET
BT 34.016 427.597 Td /F1 15.0 Tf [(investigation are spaces where both the noncommutative and the motivic aspects come to play a role: space-time, )] TJ ET
BT 34.016 409.282 Td /F1 15.0 Tf [(where the guiding principle is the problem of developing a quantum theory of gravity, and the space of primes, )] TJ ET
BT 34.016 390.967 Td /F1 15.0 Tf [(where one can regard the Riemann Hypothesis as a long-standing problem motivating the development of new )] TJ ET
BT 34.016 372.652 Td /F1 15.0 Tf [(geometric tools. The book stresses the relevance of noncommutative geometry in dealing with these two spaces. )] TJ ET
BT 34.016 354.337 Td /F1 15.0 Tf [(The first part of the book deals with quantum field theory and the geometric structure of renormalization as a )] TJ ET
BT 34.016 336.022 Td /F1 15.0 Tf [(Riemann-Hilbert correspondence. It also presents a model of elementary particle physics based on noncommutative )] TJ ET
BT 34.016 317.707 Td /F1 15.0 Tf [(geometry. The main result is a complete derivation of the full Standard Model Lagrangian from a very simple )] TJ ET
BT 34.016 299.392 Td /F1 15.0 Tf [(mathematical input. Other topics covered in the first part of the book are a noncommutative geometry model of )] TJ ET
BT 34.016 281.077 Td /F1 15.0 Tf [(dimensional regularization and its role in anomaly computations, and a brief introduction to motives and their )] TJ ET
BT 34.016 262.762 Td /F1 15.0 Tf [(conjectural relation to quantum field theory. The second part of the book gives an interpretation of the Weil explicit )] TJ ET
BT 34.016 244.447 Td /F1 15.0 Tf [(formula as a trace formula and a spectral realization of the zeros of the Riemann zeta function. This is based on the )] TJ ET
BT 34.016 226.132 Td /F1 15.0 Tf [(noncommutative geometry of the adèle class space, which is also described as the space of commensurability )] TJ ET
BT 34.016 207.817 Td /F1 15.0 Tf [(classes of Q-lattices, and is dual to a noncommutative motive \(endomotive\) whose cyclic homology provides a )] TJ ET
BT 34.016 189.502 Td /F1 15.0 Tf [(general setting for spectral realizations of zeros of L-functions. The quantum statistical mechanics of the space of Q-)] TJ ET
BT 34.016 171.187 Td /F1 15.0 Tf [(lattices, in one and two dimensions, exhibits spontaneous symmetry breaking. In the low-temperature regime, the )] TJ ET
BT 34.016 152.872 Td /F1 15.0 Tf [(equilibrium states of the corresponding systems are related to points of classical moduli spaces and the symmetries )] TJ ET
BT 34.016 134.557 Td /F1 15.0 Tf [(to the class field theory of the field of rational numbers and of imaginary quadratic fields, as well as to the )] TJ ET
BT 34.016 116.242 Td /F1 15.0 Tf [(automorphisms of the field of modular functions. The book ends with a set of analogies between the )] TJ ET
BT 34.016 97.927 Td /F1 15.0 Tf [(noncommutative geometries underlying the mathematical formulation of the Standard Model minimally coupled to )] TJ ET
BT 34.016 79.612 Td /F1 15.0 Tf [(gravity and the moduli spaces of Q-lattices used in the study of the zeta function.)] TJ ET
BT 34.016 61.297 Td /F1 15.0 Tf [(What Is a Quantum Field Theory?)] TJ ET
BT 259.106 61.297 Td /F1 15.0 Tf [( Michel Talagrand 2022-03-17 Quantum field theory \(QFT\) is one of the great )] TJ ET
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BT 34.016 1141.882 Td /F1 15.0 Tf [(achievements of physics, of profound interest to mathematicians. Most pedagogical texts on QFT are geared toward )] TJ ET
BT 34.016 1123.567 Td /F1 15.0 Tf [(budding professional physicists, however, whereas mathematical accounts are abstract and difficult to relate to the )] TJ ET
BT 34.016 1105.252 Td /F1 15.0 Tf [(physics. This book bridges the gap. While the treatment is rigorous whenever possible, the accent is not on )] TJ ET
BT 34.016 1086.937 Td /F1 15.0 Tf [(formality but on explaining what the physicists do and why, using precise mathematical language. In particular, it )] TJ ET
BT 34.016 1068.622 Td /F1 15.0 Tf [(covers in detail the mysterious procedure of renormalization. Written for readers with a mathematical background )] TJ ET
BT 34.016 1050.307 Td /F1 15.0 Tf [(but no previous knowledge of physics and largely self-contained, it presents both basic physical ideas from special )] TJ ET
BT 34.016 1031.992 Td /F1 15.0 Tf [(relativity and quantum mechanics and advanced mathematical concepts in complete detail. It will be of interest to )] TJ ET
BT 34.016 1013.677 Td /F1 15.0 Tf [(mathematicians wanting to learn about QFT and, with nearly 300 exercises, also to physics students seeking )] TJ ET
BT 34.016 995.362 Td /F1 15.0 Tf [(greater rigor than they typically find in their courses.)] TJ ET
BT 34.016 977.047 Td /F1 15.0 Tf [(Quantum Mechanics for Mathematicians)] TJ ET
BT 302.441 977.047 Td /F1 15.0 Tf [( Leon Armenovich Takhtadzhi?an 2008 This book provides a )] TJ ET
BT 34.016 958.732 Td /F1 15.0 Tf [(comprehensive treatment of quantum mechanics from a mathematics perspective and is accessible to )] TJ ET
BT 34.016 940.417 Td /F1 15.0 Tf [(mathematicians starting with second-year graduate students. It addition to traditional topics, like classical )] TJ ET
BT 34.016 922.102 Td /F1 15.0 Tf [(mechanics, mathematical foundations of quantum mechanics, quantization, and the Schrodinger equation, this book )] TJ ET
BT 34.016 903.787 Td /F1 15.0 Tf [(gives a mathematical treatment of systems of identical particles with spin, and it introduces the reader to functional )] TJ ET
BT 34.016 885.472 Td /F1 15.0 Tf [(methods in quantum mechanics. This includes the Feynman path integral approach to quantum mechanics, )] TJ ET
BT 34.016 867.157 Td /F1 15.0 Tf [(integration in functional spaces, the relation between Feynman and Wiener integrals, Gaussian integration and )] TJ ET
BT 34.016 848.842 Td /F1 15.0 Tf [(regularized determinants of differential operators, fermion systems and integration over anticommuting )] TJ ET
BT 34.016 830.527 Td /F1 15.0 Tf [(\(Grassmann\) variables, supersymmetry and localization in loop spaces, and supersymmetric derivation of the )] TJ ET
BT 34.016 812.212 Td /F1 15.0 Tf [(Atiyah-Singer formula for the index of the Dirac operator. Prior to this book, mathematicians could find these topics )] TJ ET
BT 34.016 793.897 Td /F1 15.0 Tf [(only in physics textbooks and in specialized literature. This book is written in a concise style with careful attention to )] TJ ET
BT 34.016 775.582 Td /F1 15.0 Tf [(precise mathematics formulation of methods and results.Numerous problems, from routine to advanced, help the )] TJ ET
BT 34.016 757.267 Td /F1 15.0 Tf [(reader to master the subject. In addition to providing a fundamental knowledge of quantum mechanics, this book )] TJ ET
BT 34.016 738.952 Td /F1 15.0 Tf [(could also serve as a bridge for studying more advanced topics in quantum physics, among them quantum field )] TJ ET
BT 34.016 720.637 Td /F1 15.0 Tf [(theory. Prerequisites include standard first-year graduate courses covering linear and abstract algebra, topology )] TJ ET
BT 34.016 702.322 Td /F1 15.0 Tf [(and geometry, and real and complex analysis.)] TJ ET
BT 34.016 684.007 Td /F1 15.0 Tf [(A Mathematical Introduction to Conformal Field Theory)] TJ ET
BT 397.481 684.007 Td /F1 15.0 Tf [( Martin Schottenloher 2008-09-11 The first part of this book )] TJ ET
BT 34.016 665.692 Td /F1 15.0 Tf [(gives a self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and )] TJ ET
BT 34.016 647.377 Td /F1 15.0 Tf [(its quantization in two dimensions. The second part surveys some more advanced topics of conformal field theory.)] TJ ET
BT 34.016 629.062 Td /F1 15.0 Tf [(Factorization Algebras in Quantum Field Theory)] TJ ET
BT 352.466 629.062 Td /F1 15.0 Tf [( Kevin Costello 2016-12-15 This first volume develops factorization )] TJ ET
BT 34.016 610.747 Td /F1 15.0 Tf [(algebras with a focus upon examples exhibiting their use in field theory, which will be useful for researchers and )] TJ ET
BT 34.016 592.432 Td /F1 15.0 Tf [(graduates.)] TJ ET
BT 34.016 574.117 Td /F1 15.0 Tf [(Nonperturbative Quantum-field-theoretic Methods and Their Applications)] TJ ET
BT 515.876 574.117 Td /F1 15.0 Tf [( Z. Horv th 2001 Contents: Conformal )] TJ ET
BT 34.016 555.802 Td /F1 15.0 Tf [(Boundary Conditions OCo and What They Teach Us \(V B Petkova & J-B Zuber\); A Physical Basis for the Entropy of )] TJ ET
BT 34.016 537.487 Td /F1 15.0 Tf [(the AdS 3 Black Hole \(S Fernando & F Mansouri\); Spinon Formulation of the Kondo Problem \(A Klmper & J R )] TJ ET
BT 34.016 519.172 Td /F1 15.0 Tf [(Reyes-Martinez\); Boundary Integrable Quantum Field Theories \(P Dorey\); Finite Size Effects in Integrable Quantum )] TJ ET
BT 34.016 500.857 Td /F1 15.0 Tf [(Field Theories \(F Ravanini\); Nonperturbative Analysis of the Two-Frequency Sine-Gordon Model \(Z Bajnok et al.\); )] TJ ET
BT 34.016 482.542 Td /F1 15.0 Tf [(Screening in Hot SU\(2\) Gauge Theory and Propagators in 3D Adjoint Higgs Model \(A Cucchieri et al.\); Effective )] TJ ET
BT 34.016 464.227 Td /F1 15.0 Tf [(Average Action in Statistical Physics and Quantum Field Theory \(Ch Wetterich\); Phase Transitions in Non-)] TJ ET
BT 34.016 445.912 Td /F1 15.0 Tf [(Hermitean Matrix Models and the OC Single RingOCO Theorem \(J Feinberg et al.\); Unraveling the Mystery of )] TJ ET
BT 34.016 427.597 Td /F1 15.0 Tf [(Flavor \(A Falk\); The Nahm Transformation on R 2 X T 2 \(C Ford\); A 2D Integrable Axion Model and Target Space )] TJ ET
BT 34.016 409.282 Td /F1 15.0 Tf [(Duality \(P Forgics\); Supersymmetric Ward Identities and Chiral Symmetry Breaking in SUSY QED \(M L Walker\); )] TJ ET
BT 34.016 390.967 Td /F1 15.0 Tf [(and other papers. Readership: Theoretical, mathematical and high energy physicists.")] TJ ET
BT 34.016 372.652 Td /F1 15.0 Tf [(Quantum Field Theory: A Tourist Guide for Mathematicians)] TJ ET
0.3 w 0 J [ ] 0 d
34.016 370.177 m 426.656 370.177 l S
BT 426.656 372.652 Td /F1 15.0 Tf [( Gerald B. Folland 2021-02-03 Quantum field theory has )] TJ ET
BT 34.016 354.337 Td /F1 15.0 Tf [(been a great success for physics, but it is difficult for mathematicians to learn because it is mathematically )] TJ ET
BT 34.016 336.022 Td /F1 15.0 Tf [(incomplete. Folland, who is a mathematician, has spent considerable time digesting the physical theory and sorting )] TJ ET
BT 34.016 317.707 Td /F1 15.0 Tf [(out the mathematical issues in it. Fortunately for mathematicians, Folland is a gifted expositor. The purpose of this )] TJ ET
BT 34.016 299.392 Td /F1 15.0 Tf [(book is to present the elements of quantum field theory, with the goal of understanding the behavior of elementary )] TJ ET
BT 34.016 281.077 Td /F1 15.0 Tf [(particles rather than building formal mathematical structures, in a form that will be comprehensible to )] TJ ET
BT 34.016 262.762 Td /F1 15.0 Tf [(mathematicians. Rigorous definitions and arguments are presented as far as they are available, but the text )] TJ ET
BT 34.016 244.447 Td /F1 15.0 Tf [(proceeds on a more informal level when necessary, with due care in identifying the difficulties. The book begins with )] TJ ET
BT 34.016 226.132 Td /F1 15.0 Tf [(a review of classical physics and quantum mechanics, then proceeds through the construction of free quantum )] TJ ET
BT 34.016 207.817 Td /F1 15.0 Tf [(fields to the perturbation-theoretic development of interacting field theory and renormalization theory, with emphasis )] TJ ET
BT 34.016 189.502 Td /F1 15.0 Tf [(on quantum electrodynamics. The final two chapters present the functional integral approach and the elements of )] TJ ET
BT 34.016 171.187 Td /F1 15.0 Tf [(gauge field theory, including the Salam–Weinberg model of electromagnetic and weak interactions.)] TJ ET
BT 34.016 152.872 Td /F1 15.0 Tf [(Gauge Fields and Strings)] TJ ET
BT 203.261 152.872 Td /F1 15.0 Tf [( Polyakov 1987-09-14 "Based on his own work, the author synthesizes the most promising )] TJ ET
BT 34.016 134.557 Td /F1 15.0 Tf [(approaches and ideals in field theory today. He presents such subjects as statistical mechanics, quantum field )] TJ ET
BT 34.016 116.242 Td /F1 15.0 Tf [(theory and their interrelation, continuous global symmetry, non-Abelian gauge fields, instantons and the quantam )] TJ ET
BT 34.016 97.927 Td /F1 15.0 Tf [(theory of loops, and quantum strings and random surfaces. This book is aimed at postgraduate students studying )] TJ ET
BT 34.016 79.612 Td /F1 15.0 Tf [(field theory and statistical mechanics, and for research workers in continuous global theory."--Provided by publisher.)] TJ ET
BT 34.016 61.297 Td /F1 15.0 Tf [(Quantum Fields and Strings)] TJ ET
BT 219.926 61.297 Td /F1 15.0 Tf [( Pierre Deligne 1999-01-01 Ideas from quantum field theory and string theory have had )] TJ ET
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BT 34.016 1141.882 Td /F1 15.0 Tf [(considerable impact on mathematics over the past 20 years. Advances in many different areas have been inspired )] TJ ET
BT 34.016 1123.567 Td /F1 15.0 Tf [(by insights from physics. In 1996-97 the Institute for Advanced Study \(Princeton, NJ\) organized a special year-long )] TJ ET
BT 34.016 1105.252 Td /F1 15.0 Tf [(program designed to teach mathematicians the basic physical ideas which underlie the mathematical applications. )] TJ ET
BT 34.016 1086.937 Td /F1 15.0 Tf [(The purpose is eloquently stated in a letter written by Robert MacPherson: "The goal is to create and convey an )] TJ ET
BT 34.016 1068.622 Td /F1 15.0 Tf [(understanding, in terms congenial to mathematicians, of some fundamental notions of physics ... [and to] develop )] TJ ET
BT 34.016 1050.307 Td /F1 15.0 Tf [(the sort of intuition common among physicists for those who are used to thought processes stemming from )] TJ ET
BT 34.016 1031.992 Td /F1 15.0 Tf [(geometry and algebra." These volumes are a written record of the program. They contain notes from several long )] TJ ET
BT 34.016 1013.677 Td /F1 15.0 Tf [(and many short courses covering various aspects of quantum field theory and perturbative string theory. The )] TJ ET
BT 34.016 995.362 Td /F1 15.0 Tf [(courses were given by leading physicists and the notes were written either by the speakers or by mathematicians )] TJ ET
BT 34.016 977.047 Td /F1 15.0 Tf [(who participated in the program. The book also includes problems and solutions worked out by the editors and other )] TJ ET
BT 34.016 958.732 Td /F1 15.0 Tf [(leading participants. Interspersed are mathematical texts with background material and commentary on some topics )] TJ ET
BT 34.016 940.417 Td /F1 15.0 Tf [(covered in the lectures. These two volumes present the first truly comprehensive introduction to this field aimed at a )] TJ ET
BT 34.016 922.102 Td /F1 15.0 Tf [(mathematics audience. They offer a unique opportunity for mathematicians and mathematical physicists to learn )] TJ ET
BT 34.016 903.787 Td /F1 15.0 Tf [(about the beautiful and difficult subjects of quantum field theory and string theory.)] TJ ET
BT 34.016 885.472 Td /F1 15.0 Tf [(Quantum Fields and Strings)] TJ ET
BT 219.926 885.472 Td /F1 15.0 Tf [( Pierre Deligne 1999 Ideas from quantum field theory and string theory have had )] TJ ET
BT 34.016 867.157 Td /F1 15.0 Tf [(considerable impact on mathematics since the 1980s. Advances in many different areas have been inspired by )] TJ ET
BT 34.016 848.842 Td /F1 15.0 Tf [(insights from physics. In 1996-97 the Institute for Advanced Study \(Princeton, NJ\) organized a special year-long )] TJ ET
BT 34.016 830.527 Td /F1 15.0 Tf [(programme designed to teach mathematicians the basic physical ideas which underlie the mathematical )] TJ ET
BT 34.016 812.212 Td /F1 15.0 Tf [(applications.)] TJ ET
BT 34.016 793.897 Td /F1 15.0 Tf [(A Modern Introduction to Quantum Field Theory)] TJ ET
BT 351.656 793.897 Td /F1 15.0 Tf [( Michele Maggiore 2005 The importance and the beauty of modern )] TJ ET
BT 34.016 775.582 Td /F1 15.0 Tf [(quantum field theory resides in the power and variety of its methods and ideas, which find application in domains as )] TJ ET
BT 34.016 757.267 Td /F1 15.0 Tf [(different as particle physics, cosmology, condensed matter, statistical mechanics and critical phenomena. This book )] TJ ET
BT 34.016 738.952 Td /F1 15.0 Tf [(introduces the reader to the modern developments in a manner which assumes no previous knowledge of quantum )] TJ ET
BT 34.016 720.637 Td /F1 15.0 Tf [(field theory. Along with standard topics like Feynman diagrams, the book discusses effective lagrangians, )] TJ ET
BT 34.016 702.322 Td /F1 15.0 Tf [(renormalization group equations, the path integral formulation, spontaneous symmetry breaking and non-abelian )] TJ ET
BT 34.016 684.007 Td /F1 15.0 Tf [(gauge theories. The inclusion of more advanced topics will also make this a most useful book for graduate students )] TJ ET
BT 34.016 665.692 Td /F1 15.0 Tf [(and researchers.)] TJ ET
BT 34.016 647.377 Td /F1 15.0 Tf [(Progress in String Theory)] TJ ET
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34.016 644.902 m 204.071 644.902 l S
BT 204.071 647.377 Td /F1 15.0 Tf [( Juan M Maldacena 2005-07-12 Intended mainly for advanced graduate students in )] TJ ET
BT 34.016 629.062 Td /F1 15.0 Tf [(theoretical physics, this comprehensive volume covers recent advances in string theory and field theory dualities. It )] TJ ET
BT 34.016 610.747 Td /F1 15.0 Tf [(is based on the annual lectures given at the School of the Theoretical Advanced Study Institute \(2003\) a traditional )] TJ ET
BT 34.016 592.432 Td /F1 15.0 Tf [(event that brings together graduate students in high energy physics for an intensive course given by leaders in their )] TJ ET
BT 34.016 574.117 Td /F1 15.0 Tf [(fields. The first lecture by Paul Aspinwall is a description of branes in Calabi–Yau manifolds, which includes an )] TJ ET
BT 34.016 555.802 Td /F1 15.0 Tf [(introduction to the modern ideas of derived categories and their relation to D-branes. Juan Maldacena's second )] TJ ET
BT 34.016 537.487 Td /F1 15.0 Tf [(lecture is a short introduction to the AdS/CFT correspondence with a short discussion on its plane wave limit. )] TJ ET
BT 34.016 519.172 Td /F1 15.0 Tf [(Tachyon condensation for open strings is discussed in the third lecture by Ashoke Sen while Eva Silverstein )] TJ ET
BT 34.016 500.857 Td /F1 15.0 Tf [(provides a useful summary of the various attempts to produce four-dimensional physics out of string theory and M-)] TJ ET
BT 34.016 482.542 Td /F1 15.0 Tf [(theory in the fourth lecture. Matthew Strassler's fifth lecture is a careful discussion of a theory that has played a very )] TJ ET
BT 34.016 464.227 Td /F1 15.0 Tf [(important role in recent developments in string theory — a quantum field theory that produces a duality cascade )] TJ ET
BT 34.016 445.912 Td /F1 15.0 Tf [(which also has a large N gravity description. The sixth lecture by Washington Taylor explains how to perform )] TJ ET
BT 34.016 427.597 Td /F1 15.0 Tf [(perturbative computations using string field theory. The written presentation of these lectures is detailed yet )] TJ ET
BT 34.016 409.282 Td /F1 15.0 Tf [(straightforward, and they will be of great use to both students and experienced researchers in high energy )] TJ ET
BT 34.016 390.967 Td /F1 15.0 Tf [(theoretical physics. Contents:D-Branes on Calabi-Yau Manifolds \(P S Aspinwall\)Lectures on AdS/CFT \(J M )] TJ ET
BT 34.016 372.652 Td /F1 15.0 Tf [(Maldacena\)Tachyon Dynamics in Open String Theory \(A Sen\)TASI/PITP/ISS Lectures on Moduli and Microphysics )] TJ ET
BT 34.016 354.337 Td /F1 15.0 Tf [(\(E Silverstein\)The Duality Cascade \(M J Strassler\)Perturbative Computations in String Field Theory \(W Taylor\) )] TJ ET
BT 34.016 336.022 Td /F1 15.0 Tf [(Readership: Graduates, academics and researchers in high energy, particle, theoretical and mathematical physics. )] TJ ET
BT 34.016 317.707 Td /F1 15.0 Tf [(Keywords:String Theory;M-Theory;Supersymmetry;Field Theory;AdS/CFTKey Features:An ongoing series of )] TJ ET
BT 34.016 299.392 Td /F1 15.0 Tf [(lecture notes featuring an intensive course of advanced learning in high energy physics)] TJ ET
BT 34.016 281.077 Td /F1 15.0 Tf [(A Short Introduction to String Theory)] TJ ET
BT 277.466 281.077 Td /F1 15.0 Tf [( Thomas Mohaupt 2022-04-07 A concise and pedagogical introduction to string )] TJ ET
BT 34.016 262.762 Td /F1 15.0 Tf [(theory for graduate students featuring examples and homework problems.)] TJ ET
BT 34.016 244.447 Td /F1 15.0 Tf [(Topology, Geometry and Quantum Field Theory)] TJ ET
BT 352.481 244.447 Td /F1 15.0 Tf [( GEOMETRY SYMPOSIUM ON TOPOLOGY \(AND QUANTUM )] TJ ET
BT 34.016 226.132 Td /F1 15.0 Tf [(FIELD THEORY \(2002 : OXFORD, ENGLAND\) AUTOR\) 2004-06-28 Visionary articles explaining approaches to )] TJ ET
BT 34.016 207.817 Td /F1 15.0 Tf [(important problems on the interface of pure mathematics and mathematical physics.)] TJ ET
BT 34.016 189.502 Td /F1 15.0 Tf [(String Theory Research Progress)] TJ ET
BT 256.586 189.502 Td /F1 15.0 Tf [( Ferenc N. Balogh 2008 String theory is a model of fundamental physics whose )] TJ ET
BT 34.016 171.187 Td /F1 15.0 Tf [(building blocks are one-dimensional extended objects called strings, rather than the zero-dimensional point particles )] TJ ET
BT 34.016 152.872 Td /F1 15.0 Tf [(that form the basis for the standard model of particle physics. The phrase is often used as shorthand for Superstring )] TJ ET
BT 34.016 134.557 Td /F1 15.0 Tf [(theory, as well as related theories such as M-theory. By replacing the point-like particles with strings, an apparently )] TJ ET
BT 34.016 116.242 Td /F1 15.0 Tf [(consistent quantum theory of gravity emerges. Moreover, it may be possible to 'unify' the known natural forces )] TJ ET
BT 34.016 97.927 Td /F1 15.0 Tf [(\(gravitational, electromagnetic, weak nuclear and strong nuclear\) by describing them with the same set of )] TJ ET
BT 34.016 79.612 Td /F1 15.0 Tf [(equations. Studies of string theory have revealed that it predicts higher-dimensional objects called branes. String )] TJ ET
BT 34.016 61.297 Td /F1 15.0 Tf [(theory strongly suggests the existence of ten or eleven \(in M-theory\) space-time dimensions, as opposed to the )] TJ ET
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BT 34.016 1141.882 Td /F1 15.0 Tf [(usual four \(three spatial and one temporal\) used in relativity theory.)] TJ ET
BT 34.016 1123.567 Td /F1 15.0 Tf [(Introduction to Superstrings and M-Theory)] TJ ET
BT 314.966 1123.567 Td /F1 15.0 Tf [( Michio Kaku 2012-12-06 Called by some "the theory of everything," )] TJ ET
BT 34.016 1105.252 Td /F1 15.0 Tf [(superstrings may solve a problem which has eluded physicists for the past 50 years -- the final unification of the two )] TJ ET
BT 34.016 1086.937 Td /F1 15.0 Tf [(great theories of the twentieth century, general relativity and quantum field theory. This is a course-tested )] TJ ET
BT 34.016 1068.622 Td /F1 15.0 Tf [(comprehensive introductory graduate text on superstrings which stresses the most current areas of interest, not )] TJ ET
BT 34.016 1050.307 Td /F1 15.0 Tf [(covered in other presentation, including: string field theory, multi loops, Teichmueller spaces, conformal field theory, )] TJ ET
BT 34.016 1031.992 Td /F1 15.0 Tf [(and four-dimensional strings. The book begins with a simple discussion of point particle theory, and uses the )] TJ ET
BT 34.016 1013.677 Td /F1 15.0 Tf [(Feynman path integral technique to unify the presentation of superstrings. Prerequisites are an aquaintance with )] TJ ET
BT 34.016 995.362 Td /F1 15.0 Tf [(quantum mechanics and relativity. This second edition has been revised and updated throughout.)] TJ ET
BT 34.016 977.047 Td /F1 15.0 Tf [(Quantum Fields and Strings: A Course for Mathematicians)] TJ ET
0.3 w 0 J [ ] 0 d
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BT 421.661 977.047 Td /F1 15.0 Tf [( P Deligne 1999 )] TJ ET
BT 36.266 930.320 Td /F1 8.0 Tf [(quantum-fields-and-strings-a-course-for-mathematicians)] TJ ET
BT 514.824 930.527 Td /F1 8.0 Tf [(Downloaded from )] TJ ET
BT 579.736 930.320 Td /F1 8.0 Tf [(duurzaam.centrumnijmegen.nl)] TJ ET
BT 687.328 930.527 Td /F1 8.0 Tf [( on September 24, 2022 by guest)] TJ ET
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