Anomalies In Quantum Field Theory
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Anomalies In Quantum Field Theory
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Author : Reinhold A. Bertlmann
language : en
Publisher: Oxford University Press
Release Date : 2000-11-02
Anomalies In Quantum Field Theory written by Reinhold A. Bertlmann and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-11-02 with Science categories.
This text presents the different aspects of the study of anomalies. Much emphasis is now being placed on the formulation of the theory using the mathematical ideas of differential geometry and topology. It includes derivations and calculations
Anomalies In Quantum Field Theory
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Author : Reinhold A. Bertlmann
language : en
Publisher:
Release Date : 2000
Anomalies In Quantum Field Theory written by Reinhold A. Bertlmann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Geometry, Differential categories.
This text presents the different aspects of the study of anomalies. Much emphasis is now being placed on the formulation of the theory using the mathematical ideas of differential geometry and topology. It includes derivations and calculations.
Anomalies In Quantum Field Theory
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Author : Peter Van Nieuwenhuizen
language : en
Publisher: Cornell University Press
Release Date : 1989
Anomalies In Quantum Field Theory written by Peter Van Nieuwenhuizen and has been published by Cornell University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Science categories.
The conditions of Alvarez-Gaume and Witten for transversality of Feynman diagrams with loops of chiral spin 1/2, schiral spin 3/2 or selfdual antisymmetric tensors, coupled to external gravitons and Yang-Mills bosons, are dirived. The resuls are then applied to the N=1 and N=2B supergravities in d=10 dimensions. For the N=2B theory, all gravitational anomalies cancel by themselves, but for the N=1 theory, counterterms are constructed, using the descent equations, which cancel the anomalies. The latter result, due to Green and Schwarz, triggered the recent interest in string theories. These lectures are selfcontained and detailed, at the level of a graduate course in particle physics. The content is based on lectures given by the author at the K.U.Leuven in January 1989.
Fermions And Anomalies In Quantum Field Theories
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Author : Loriano Bonora
language : en
Publisher: Springer Nature
Release Date : 2023-05-04
Fermions And Anomalies In Quantum Field Theories written by Loriano Bonora and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-04 with Science categories.
This book presents a modern view of anomalies in quantum field theories. It is divided into six parts. The first part is preparatory covering an introduction to fermions, a description of the classical symmetries, and a short introduction to conformal symmetry. The second part of the book is devoted to the relation between anomalies and cohomology. The third part deals with perturbative methods to compute gauge, diffeomorphism and trace anomalies. In the fourth part the same anomalies are calculated with non-perturbative heat-kernel-like methods. Part five is devoted to the family's index theorem and its application to chiral anomalies, and to the differential characters and their applications to global anomalies. Part six is devoted to special topics including a complete calculation of trace and diffeomorphism anomalies of a Dirac fermion in a MAT background in two dimensions, Wess-Zumino terms in field theories, sigma models, their local and global anomalies and their cancelation, and finally the analysis of the worldsheet, sigma model, and target space anomalies of string and superstring theories. The book is targeted to researchers and graduate students.
Path Integrals And Quantum Anomalies
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Author : Kazuo Fujikawa
language : en
Publisher: OUP Oxford
Release Date : 2004-04-29
Path Integrals And Quantum Anomalies written by Kazuo Fujikawa and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-29 with Science categories.
The Feynman path integrals are becoming increasingly important in the applications of quantum mechanics and field theory. The path integral formulation of quantum anomalies, i.e. the quantum breaking of certain symmetries, can now cover all the known quantum anomalies in a coherent manner. In this book the authors provide an introduction to the path integral method in quantum field theory and its applications to the analyses of quantum anomalies. No previous knowledge of field theory beyond advanced undergraduate quantum mechanics is assumed. The book provides the first coherent introductory treatment of the path integral formulation of chiral and Weyl anomalies, with applications to gauge theory in two and four dimensions, conformal field theory and string theory. Explicit and elementary path integral calculations of most of the quantum anomalies covered are given. The conceptual basis of the path integral bosonization in two-dimensional theory, which may have applications to condensed matter theory, for example, is clarified. The book also covers the recent interesting developments in the treatment of fermions and chiral anomalies in lattice gauge theory.
Anomalies In Quantum Field Theory
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Author :
language : es
Publisher:
Release Date : 2013
Anomalies In Quantum Field Theory written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
Quantum Field Theory
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Author : Eduardo Fradkin
language : en
Publisher: Princeton University Press
Release Date : 2021-03-23
Quantum Field Theory written by Eduardo Fradkin and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-23 with Science categories.
"Quantum field theory is the mathematical and conceptual framework that describes the physics of the very small, including subatomic particles and quasiparticles. It is used to address a range of problems across subfields, from high-energy physics and gravitation to statistical physics and condensed matter physics. Despite the breadth of its applications, however, the teaching of quantum field theory has historically been strongly oriented toward high-energy physics students, while others-particularly in condensed matter and statistical physics-are typically taught in a separate course, or take an alternate sequence in many-body and statistical physics. Author Eduardo Fradkin strongly believes that this separation is both artificial and detrimental to all groups' understanding of quantum field theory. This textbook, developed from a graduate course Fradkin has taught for decades at the University of Illinois, offers a new, "multicultural" approach to the subject that seeks to remedy this fragmentation. It covers both basic techniques and topics at the frontiers of current research, and integrates modern concepts and examples from high-energy, statistical, and condensed-matter physics alike. Extensive problem sets further illustrate applications across a range of subfields. The book will be suitable for students across physical subdisciplines who have mastered graduate-level quantum mechanics, and will be a useful reference for researchers"--
Anomalies In Quantum Field Theory And Differential Geometry
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Author : Juan Luis Manes
language : en
Publisher:
Release Date : 1986
Anomalies In Quantum Field Theory And Differential Geometry written by Juan Luis Manes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.
Quantum Field Theory
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Author : Peter Breitenlohner
language : en
Publisher: Springer
Release Date : 2008-01-11
Quantum Field Theory written by Peter Breitenlohner and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-11 with Science categories.
On the occasion of W. Zimmermann's 70th birthday some eminent scientists gave review talks in honor of one of the great masters of quantum field theory. It was decided to write them up and publish them in this book, together with reprints of some seminal papers of the laureate. Thus, this volume deepens our understanding of anomalies, algebraic renormalization theory, axiomatic field theory and of much more while illuminating the past and present state of affairs and pointing to interesting problems for future research.
Lectures On Field Theory And Topology
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Author : Daniel S. Freed
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-08-23
Lectures On Field Theory And Topology written by Daniel S. Freed and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-23 with Mathematics categories.
These lectures recount an application of stable homotopy theory to a concrete problem in low energy physics: the classification of special phases of matter. While the joint work of the author and Michael Hopkins is a focal point, a general geometric frame of reference on quantum field theory is emphasized. Early lectures describe the geometric axiom systems introduced by Graeme Segal and Michael Atiyah in the late 1980s, as well as subsequent extensions. This material provides an entry point for mathematicians to delve into quantum field theory. Classification theorems in low dimensions are proved to illustrate the framework. The later lectures turn to more specialized topics in field theory, including the relationship between invertible field theories and stable homotopy theory, extended unitarity, anomalies, and relativistic free fermion systems. The accompanying mathematical explanations touch upon (higher) category theory, duals to the sphere spectrum, equivariant spectra, differential cohomology, and Dirac operators. The outcome of computations made using the Adams spectral sequence is presented and compared to results in the condensed matter literature obtained by very different means. The general perspectives and specific applications fuse into a compelling story at the interface of contemporary mathematics and theoretical physics.