Anomalies in Quantum Field Theory PDF Download
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Author: Reinhold A. Bertlmann
Publisher: Oxford University Press
ISBN: 9780198507628
Category : Science
Languages : en
Pages : 590
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Book Description
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
Author: Reinhold A. Bertlmann
Publisher: Oxford University Press
ISBN: 9780198507628
Category : Science
Languages : en
Pages : 590
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Book Description
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
Author: Reinhold A. Bertlmann
Publisher:
ISBN:
Category : Geometry, Differential
Languages : en
Pages : 566
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Book Description
Author: Kazuo Fujikawa
Publisher: Oxford University Press
ISBN: 0198529139
Category : Mathematics
Languages : en
Pages : 297
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Book Description
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 fieldtheory beyond the 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. Explicitand 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.
Author: Sam Treiman
Publisher: Princeton University Press
ISBN: 1400854563
Category : Science
Languages : en
Pages : 550
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Book Description
Current algebra remains our most successful analysis of fundamental particle interactions. This collection of surveys on current algebra and anomalies is a successor volume to Lectures on Current Algebra and Its Applications (Princeton Series in Physics, 1972). Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author: Ashok Das
Publisher: World Scientific
ISBN: 9789810213978
Category : Science
Languages : en
Pages : 420
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Book Description
Traditionally, field theory is taught through canonical quantization with a heavy emphasis on high energy physics. However, the techniques of field theory are applicable as well and are extensively used in various other areas of physics such as consdensed matter, nuclear physics and statistical mechanics. The path integral approach brings out this feature most clearly. In this book, the path integral approach is developed in detail completely within the context of quantum mechanics. Subsequently, it is applied to various areas of physics.
Author: Antti Niemi
Publisher: World Scientific
ISBN: 9811212287
Category : Science
Languages : en
Pages : 336
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Book Description
Professor Roman Jackiw is a theoretical physicist renowned for his many fundamental contributions and discoveries in quantum and classical field theories, ranging from high energy physics and gravitation to condensed matter and the physics of fluids. Among his major achievements is the establishment of the presence of the famous Adler-Bell-Jackiw anomalies in quantum field theory, a discovery with far-reaching implications for the structure of the Standard Model of particle physics and all attempts to go beyond it. Other important contributions, among many, that one may mention here are the topological mass term in gravity and gauge theories, and the fractionalization of fermion number and charge in the presence of topological objects.Roman Jackiw, a Professor Emeritus at the MIT Center for Theoretical Physics, is the recipient of several international awards including the Dannie Heineman Prize for Mathematical Physics and the Dirac Medal of the ICTP. He is a member of the US National Academy of Sciences and honorary doctor of Kiev, Montreal, Tours, Turin and Uppsala universities.To celebrate his 80th birthday, many students and colleagues of Professor Jackiw have come together to share interesting anecdotes of working with him as well as their latest research, some of it inspired by his work. Edited by his former students Antti Niemi and Terry Tomboulis together with his long-time friend KK Phua, this festschrift volume is a must-have collection for all theoretical physicists.
Author: Fiorenzo Bastianelli
Publisher: Cambridge University Press
ISBN: 1139456849
Category : Science
Languages : en
Pages : 47
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Book Description
This book introduces path integrals, a powerful method for describing quantum phenomena, and then uses them to compute anomalies in quantum field theories. An advanced text for researchers and graduate students of quantum field theory and string theory, it also provides a stand-alone introduction to path integrals in quantum mechanics.
Author: Matthew D. Schwartz
Publisher: Cambridge University Press
ISBN: 1107034736
Category : Science
Languages : en
Pages : 869
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Book Description
A modern introduction to quantum field theory for graduates, providing intuitive, physical explanations supported by real-world applications and homework problems.
Author: Anthony Zee
Publisher: Princeton University Press
ISBN: 1400835321
Category : Science
Languages : en
Pages : 605
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Book Description
A fully updated edition of the classic text by acclaimed physicist A. Zee Since it was first published, Quantum Field Theory in a Nutshell has quickly established itself as the most accessible and comprehensive introduction to this profound and deeply fascinating area of theoretical physics. Now in this fully revised and expanded edition, A. Zee covers the latest advances while providing a solid conceptual foundation for students to build on, making this the most up-to-date and modern textbook on quantum field theory available. This expanded edition features several additional chapters, as well as an entirely new section describing recent developments in quantum field theory such as gravitational waves, the helicity spinor formalism, on-shell gluon scattering, recursion relations for amplitudes with complex momenta, and the hidden connection between Yang-Mills theory and Einstein gravity. Zee also provides added exercises, explanations, and examples, as well as detailed appendices, solutions to selected exercises, and suggestions for further reading. The most accessible and comprehensive introductory textbook available Features a fully revised, updated, and expanded text Covers the latest exciting advances in the field Includes new exercises Offers a one-of-a-kind resource for students and researchers Leading universities that have adopted this book include: Arizona State University Boston University Brandeis University Brown University California Institute of Technology Carnegie Mellon College of William & Mary Cornell Harvard University Massachusetts Institute of Technology Northwestern University Ohio State University Princeton University Purdue University - Main Campus Rensselaer Polytechnic Institute Rutgers University - New Brunswick Stanford University University of California - Berkeley University of Central Florida University of Chicago University of Michigan University of Montreal University of Notre Dame Vanderbilt University Virginia Tech University
Author: V. P. Nair
Publisher: Springer Science & Business Media
ISBN: 0387250980
Category : Science
Languages : en
Pages : 560
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Book Description
Quantum field theory, which started with Paul Dirac’s work shortly after the discovery of quantum mechanics, has produced an impressive and important array of results. Quantum electrodynamics, with its extremely accurate and well-tested predictions, and the standard model of electroweak and chromodynamic (nuclear) forces are examples of successful theories. Field theory has also been applied to a variety of phenomena in condensed matter physics, including superconductivity, superfluidity and the quantum Hall effect. The concept of the renormalization group has given us a new perspective on field theory in general and on critical phenomena in particular. At this stage, a strong case can be made that quantum field theory is the mathematical and intellectual framework for describing and understanding all physical phenomena, except possibly for a quantum theory of gravity. Quantum Field Theory: A Modern Perspective presents Professor Nair’s view of certain topics in field theory loosely knit together as it grew out of courses on field theory and particle physics taught at Columbia University and the City College of CUNY. The first few chapters, up to Chapter 12, contain material that generally goes into any course on quantum field theory, although there are a few nuances of presentation which readers may find to be different from other books. This first part of the book can be used for a general course on field theory, omitting, perhaps, the last three sections in Chapter 3, the last two in Chapter 8 and sections 6 and 7 in Chapter 10. The remaining chapters cover some of the more modern developments over the last three decades, involving topological and geometrical features. The introduction given to the mathematical basis of this part of the discussion is necessarily brief and should be accompanied by books on the relevant mathematical topics as indicated in the bibliography. Professor Nair also concentrates on developments pertinent to a better understanding of the standard model. There is no discussion of supersymmetry, supergravity, developments in field theory inspired by string theory, etc. There is also no detailed discussion of the renormalization group. Each of these topics would require a book in its own right to do justice to the topic. Quantum Field Theory: A Modern Perspective serves as a portal to so many more topics of detailed and ongoing research, referring readers to more detailed treatments for many specific topics. The book also contains extensive references, providing readers a more comprehensive perspective on the literature and the historical development of the subject. V. Parameswaran Nair is Professor of Physics at City College of The City University of New York (CUNY). Professor Nair has held Visiting Professorships at The Abdus Salam International Center for Theoretical Physics, Rockefeller University, Institute for Advanced Study at Princeton, and Massachusetts Institute of Technology.
