Conformal Field Theory And Critical Phenomena In Two Dimensional Systems
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Conformal Field Theory And Critical Phenomena In Two Dimensional Systems
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Author : A.B. Zamolodchikov
language : en
Publisher: CRC Press
Release Date : 1989-01-31
Conformal Field Theory And Critical Phenomena In Two Dimensional Systems written by A.B. Zamolodchikov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-31 with Science categories.
Conformal Field Theory
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Author : Philippe Francesco
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Conformal Field Theory written by Philippe Francesco and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Filling an important gap in the literature, this comprehensive text develops conformal field theory from first principles. The treatment is self-contained, pedagogical, and exhaustive, and includes a great deal of background material on quantum field theory, statistical mechanics, Lie algebras and affine Lie algebras. The many exercises, with a wide spectrum of difficulty and subjects, complement and in many cases extend the text. The text is thus not only an excellent tool for classroom teaching but also for individual study. Intended primarily for graduate students and researchers in theoretical high-energy physics, mathematical physics, condensed matter theory, statistical physics, the book will also be of interest in other areas of theoretical physics and mathematics. It will prepare the reader for original research in this very active field of theoretical and mathematical physics.
Theory Of Critical Phenomena In Finite Size Systems Scaling And Quantum Effects
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Author : Jordan G Brankov
language : en
Publisher: World Scientific
Release Date : 2000-08-21
Theory Of Critical Phenomena In Finite Size Systems Scaling And Quantum Effects written by Jordan G Brankov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-08-21 with Science categories.
The aim of this book is to familiarise the reader with the rich collection of ideas, methods and results available in the theory of critical phenomena in systems with confined geometry. The existence of universal features of the finite-size effects arising due to highly correlated classical or quantum fluctuations is explained by the finite-size scaling theory. This theory (1) offers an interpretation of experimental results on finite-size effects in real systems; (2) gives the most reliable tool for extrapolation to the thermodynamic limit of data obtained by computer simulations; (3) reveals the intimate mechanism of how the critical singularities build up in the thermodynamic limit; and (4) can be fruitfully used to explain the low-temperature behaviour of quantum critical systems.The exposition is given in a self-contained form which presumes the reader's knowledge only in the framework of standard courses on the theory of phase transitions and critical phenomena. The instructive role of simple models, both classical and quantum, is demonstrated by putting the accent on the derivation of rigorous and exact analytical results.
Statistical Field Theory
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Author : Giuseppe Mussardo
language : en
Publisher: Oxford University Press
Release Date : 2020-03-26
Statistical Field Theory written by Giuseppe Mussardo 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 2020-03-26 with Science categories.
Fundamental concepts of phase transitions, such as order parameters, spontaneous symmetry breaking, scaling transformations, conformal symmetry and anomalous dimensions, have deeply changed the modern vision of many areas of physics, leading to remarkable developments in statistical mechanics, elementary particle theory, condensed matter physics and string theory. This self-contained book provides a thorough introduction to the fascinating world of phase transitions and frontier topics of exactly solved models in statistical mechanics and quantum field theory, such as renormalization groups, conformal models, quantum integrable systems, duality, elastic S-matrices, thermodynamic Bethe ansatz and form factor theory. The clear discussion of physical principles is accompanied by a detailed analysis of several branches of mathematics distinguished for their elegance and beauty, including infinite dimensional algebras, conformal mappings, integral equations and modular functions. Besides advanced research themes, the book also covers many basic topics in statistical mechanics, quantum field theory and theoretical physics. Each argument is discussed in great detail while providing overall coherent understanding of physical phenomena. Mathematical background is made available in supplements at the end of each chapter, when appropriate. The chapters include problems of different levels of difficulty. Advanced undergraduate and graduate students will find this book a rich and challenging source for improving their skills and for attaining a comprehensive understanding of the many facets of the subject.
International Conference On High Energy Physics International Union Of Pure And Applied Physics 24 1988 M Nchen
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Author : Rainer Kotthaus
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
International Conference On High Energy Physics International Union Of Pure And Applied Physics 24 1988 M Nchen written by Rainer Kotthaus and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Science categories.
This was the most recent in a highly esteemed series of biannual Rochester conferences. 20 invited reviews and about 200 invited contributions on all aspects of current research in high energy and particle physics give a complete and lively account of achievements, activities and goals in the field. Topics discussed include results from proton-antiproton and electron-positron colliders, spectroscopy and decays of heavy flavors, weak mixing and CP violation, non-accelerator particle physics, heavy ion collisions, future accelerators, detector developments, the standard electroweak model and beyond, the status of perturbative QCD, superstrings and unification, new developments in field theory, non-perturbative methods, and cosmology and astrophysics.
Boundary Conformal Field Theory And The Worldsheet Approach To D Branes
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Author : Andreas Recknagel
language : en
Publisher: Cambridge University Press
Release Date : 2013-11-28
Boundary Conformal Field Theory And The Worldsheet Approach To D Branes written by Andreas Recknagel 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 2013-11-28 with Science categories.
Boundary conformal field theory is concerned with a class of two-dimensional quantum field theories which display a rich mathematical structure and have many applications ranging from string theory to condensed matter physics. In particular, the framework allows discussion of strings and branes directly at the quantum level. Written by internationally renowned experts, this comprehensive introduction to boundary conformal field theory reaches from theoretical foundations to recent developments, with an emphasis on the algebraic treatment of string backgrounds. Topics covered include basic concepts in conformal field theory with and without boundaries, the mathematical description of strings and D-branes, and the geometry of strongly curved spacetime. The book offers insights into string geometry that go beyond classical notions. Describing the theory from basic concepts, and providing numerous worked examples from conformal field theory and string theory, this reference is of interest to graduate students and researchers in physics and mathematics.
Random Walks Critical Phenomena And Triviality In Quantum Field Theory
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Author : Roberto Fernandez
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Random Walks Critical Phenomena And Triviality In Quantum Field Theory written by Roberto Fernandez and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Science categories.
Simple random walks - or equivalently, sums of independent random vari ables - have long been a standard topic of probability theory and mathemat ical physics. In the 1950s, non-Markovian random-walk models, such as the self-avoiding walk,were introduced into theoretical polymer physics, and gradu ally came to serve as a paradigm for the general theory of critical phenomena. In the past decade, random-walk expansions have evolved into an important tool for the rigorous analysis of critical phenomena in classical spin systems and of the continuum limit in quantum field theory. Among the results obtained by random-walk methods are the proof of triviality of the cp4 quantum field theo ryin space-time dimension d (::::) 4, and the proof of mean-field critical behavior for cp4 and Ising models in space dimension d (::::) 4. The principal goal of the present monograph is to present a detailed review of these developments. It is supplemented by a brief excursion to the theory of random surfaces and various applications thereof. This book has grown out of research carried out by the authors mainly from 1982 until the middle of 1985. Our original intention was to write a research paper. However, the writing of such a paper turned out to be a very slow process, partly because of our geographical separation, partly because each of us was involved in other projects that may have appeared more urgent.
Non Perturbative Quantum Field Theory Mathematical Aspects And Applications
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Author : Jurg Frohlich
language : en
Publisher: World Scientific
Release Date : 1992-04-29
Non Perturbative Quantum Field Theory Mathematical Aspects And Applications written by Jurg Frohlich and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-04-29 with categories.
Compiled to illustrate the recent history of Quantum Field Theory and its trends, this collection of selected reprints by Jürg Fröhlich, a leading theoretician in the field, is a comprehensive guide of the more mathematical aspects of the subject. Results and methods of the past fifteen years are reviewed. The analytical methods employed are non-perturbative and, for the larger part, mathematically rigorous. Most articles are review articles surveying certain important developments in quantum field theory and guiding the reader towards the original literature.The volume begins with a comprehensive introduction by Jürg Fröhlich.The theory of phase transitions and continuous symmetry breaking is reviewed in the first section. The second section discusses the non-perturbative quantization of topological solitons. The third section is devoted to the study of gauge fields. A paper on the triviality of λϖ4 — theory in four and more dimensions is found in the fourth section, while the fifth contains two articles on “random geometry”. The sixth and final part addresses topics in low-dimensional quantum field theory, including braid statistics, two-dimensional conformal field theory and an application to condensed matter theory.
Yang Baxter Systems Nonlinear Models And Their Applications Proceedings Of The Apctp Nankai Symposium
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Author : B K Chung
language : en
Publisher: World Scientific
Release Date : 1999-12-13
Yang Baxter Systems Nonlinear Models And Their Applications Proceedings Of The Apctp Nankai Symposium written by B K Chung and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-12-13 with Science categories.
Particles Strings And Supernovae Proceedings Of Theoretical Advanced Study Institute In Elementary Particle Physics In 2 Volumes
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Author : Chung-i Tan
language : en
Publisher: World Scientific
Release Date : 1989-05-01
Particles Strings And Supernovae Proceedings Of Theoretical Advanced Study Institute In Elementary Particle Physics In 2 Volumes written by Chung-i Tan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-05-01 with categories.
This proceedings is a follow-up for the TASI series held annually to discuss the current theoretical and experimental status in elementary particle physics. Since TASI is designed primarily for advanced graduate students, lectures tend to be pedagogical, in the same mood of the equally successful Erice schools. Brown TASI-88 covered four inter-related areas: Standard Particle Physics, Non-Perturbative Aspects of Quantum Field Theories, Strings and Superstrings, Cosmology and Neutrino-Astrophysics.