Path Integrals And Quantum Anomalies

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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.
Path Integrals In Physics
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Author : M Chaichian
language : en
Publisher: CRC Press
Release Date : 2018-10-03
Path Integrals In Physics written by M Chaichian and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-03 with Science categories.
Path Integrals in Physics: Volume I, Stochastic Processes and Quantum Mechanics presents the fundamentals of path integrals, both the Wiener and Feynman type, and their many applications in physics. Accessible to a broad community of theoretical physicists, the book deals with systems possessing a infinite number of degrees in freedom. It discusses the general physical background and concepts of the path integral approach used, followed by a detailed presentation of the most typical and important applications as well as problems with either their solutions or hints how to solve them. It describes in detail various applications, including systems with Grassmann variables. Each chapter is self-contained and can be considered as an independent textbook. The book provides a comprehensive, detailed, and systematic account of the subject suitable for both students and experienced researchers.
Effective Field Theories
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Author : Ulf-G Meißner
language : en
Publisher: Cambridge University Press
Release Date : 2022-08-25
Effective Field Theories written by Ulf-G Meißner and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-25 with Science categories.
Effective field theories are a widely used tool in various branches of physics. This book provides a comprehensive discussion of the foundations and fundamentals of effective field theories of quantum chromodynamics (QCD) in the light quark sector with an emphasis on the study of flavour symmetries and their realizations. In this context, different types of effective field theories pertaining to various energy scales are considered and selected applications are devised. It also covers the formulation of effective field theories in a finite volume and its application in the analysis of lattice QCD data. Effective Field Theories is intended for graduate students and researchers in particle physics, hadron physics and nuclear physics. Exercises are included to help the reader deepen their understanding of the topics discussed throughout, with solutions available to lecturers.
60 Years Of Yang Mills Gauge Field Theories C N Yang S Contributions To Physics
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Author : Lars Brink
language : en
Publisher: World Scientific
Release Date : 2016-04-21
60 Years Of Yang Mills Gauge Field Theories C N Yang S Contributions To Physics written by Lars Brink and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-21 with Science categories.
During the last six decades, Yang-Mills theory has increasingly become the cornerstone of theoretical physics. It is seemingly the only fully consistent relativistic quantum many-body theory in four space-time dimensions. As such it is the underlying theoretical framework for the Standard Model of Particle Physics, which has been shown to be the correct theory at the energies we now can measure. It has been investigated also from many other perspectives, and many new and unexpected features have been uncovered from this theory. In recent decades, apart from high energy physics, the theory has been actively applied in other branches of physics, such as statistical physics, condensed matter physics, nonlinear systems, etc. This makes the theory an indispensable topic for all who are involved in physics.The conference celebrated the exceptional achievements using Yang-Mills theory over the years but also many other truly remarkable contributions to different branches of physics from Prof C N Yang. This volume collects the invaluable talks by Prof C N Yang and the invited speakers reviewing these remarkable contributions and their importance for the future of physics.
Path Integrals And Anomalies In Curved Space
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Author : Fiorenzo Bastianelli
language : en
Publisher: Cambridge University Press
Release Date : 2006-07-20
Path Integrals And Anomalies In Curved Space written by Fiorenzo Bastianelli and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-20 with Science categories.
Path integrals provide a powerful method for describing quantum phenomena. This book introduces the quantum mechanics of particles that move in curved space by employing path integrals and then using them to compute anomalies in quantum field theories. The authors start by deriving path integrals for particles moving in curved space and their supersymmetric generalizations. They then discuss the regularization schemes essential to constructing and computing these path integrals. This topic is used to introduce regularization and renormalization in quantum field theories in a wider context. These methods are then applied to discuss and calculate anomalies in quantum field theory. Such anomalies provide enormous constraints in the search for physical theories of elementary particles, quantum gravity and string theories. An advanced text for researchers and graduate students of quantum field theory and string theory, the first part is also a stand-alone introduction to path integrals in quantum mechanics.
Methods Of Contemporary Gauge Theory
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Author : Yuri Makeenko
language : en
Publisher: Cambridge University Press
Release Date : 2023-07-27
Methods Of Contemporary Gauge Theory written by Yuri Makeenko and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-27 with Mathematics categories.
This 2002 book is a thorough introduction to quantum theory of gauge fields, with emphasis on modern non-perturbative methods.
Path Integration Trieste 1991 Lectures On Proceedings Of The Adriatico Research Conference
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Author : H A Cerdeira
language : en
Publisher: World Scientific
Release Date : 1993-02-27
Path Integration Trieste 1991 Lectures On Proceedings Of The Adriatico Research Conference written by H A Cerdeira and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-02-27 with categories.
This is a collection of pedagogical lectures and research papers that were presented during a combined course/conference program held at the International Centre for Theoretical Physics in Trieste in the summer of 1991. The lectures begin from an elementary level and were intended to bring student participants to the point where they could appreciate the research conference that came at the end of program.
Statistical Physics High Energy Condensed Matter And Mathematical Physics
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Author : C. H. Oh
language : en
Publisher: World Scientific
Release Date : 2008-12-12
Statistical Physics High Energy Condensed Matter And Mathematical Physics written by C. H. Oh and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-12 with Science categories.
The Conference on Statistical Physics, High Energy, Condensed Matter and Mathematical Physics was held in honor of Professor Chen-Ning Yang''s 85th birthday in Singapore in OctOCoNov 2007. The conference paid tribute to the breadth and depth of Professor Yang''s achievements in physics and science education since he received his Nobel Prize in Physics fifty years ago."
Encyclopedia Of Mathematical Physics
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Author : Jean-Pierre Francoise
language : en
Publisher: Academic Press
Release Date : 2006-06-20
Encyclopedia Of Mathematical Physics written by Jean-Pierre Francoise and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-20 with Science categories.
The Encyclopedia of Mathematical Physics provides a complete resource for researchers, students and lecturers with an interest in mathematical physics. It enables readers to access basic information on topics peripheral to their own areas, to provide a repository of the core information in the area that can be used to refresh the researcher's own memory banks, and aid teachers in directing students to entries relevant to their course-work. The Encyclopedia does contain information that has been distilled, organised and presented as a complete reference tool to the user and a landmark to the body of knowledge that has accumulated in this domain. It also is a stimulus for new researchers working in mathematical physics or in areas using the methods originating from work in mathematical physics by providing them with focused high quality background information. Editorial Board: Jean-Pierre Françoise, Université Pierre et Marie Curie, Paris, France Gregory L. Naber, Drexel University, Philadelphia, PA, USA Tsou Sheung Tsun, University of Oxford, UK Also available online via ScienceDirect (2006) - featuring extensive browsing, searching, and internal cross-referencing between articles in the work, plus dynamic linking to journal articles and abstract databases, making navigation flexible and easy. For more information, pricing options and availability visit www.info.sciencedirect.com. First comprehensive interdisciplinary coverage Mathematical Physics explained to stimulate new developments and foster new applications of its methods to other fields Written by an international group of experts Contains several undergraduate-level introductory articles to facilitate acquisition of new expertis Thematic index and extensive cross-referencing to provide easy access and quick search functionality Also available online with active linking
Superstrings P Branes And M Theory
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Author :
language : en
Publisher: PediaPress
Release Date :
Superstrings P Branes And M Theory written by and has been published by PediaPress this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.