Recent Progress In Statistical Mechanics And Quantum Field Theory

Author : H Saleur,Peter Bouwknegt
Publisher : World Scientific
Page : 346 pages
File Size : 45,8 Mb
Release : 1995-08-31
Category : Science
ISBN : 9789814549998

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Recent Progress In Statistical Mechanics And Quantum Field Theory by H Saleur,Peter Bouwknegt Pdf

The following topics were covered: the study of renormalization group flows between field theories using the methods of quantum integrability, S-matrix theory and the thermodynamic Bethe Ansatz; impurity problems approached both from the point of view of conformal field theory and quantum integrability. This includes the Kondo effect and quantum wires; solvable models with 1/r² interactions (Haldane-Shastri models). Yangian symmetries in 1/r² models and in conformal field theories; correlation functions in integrable 1+1 field theories; integrability in three dimensions; conformal invariance and the quantum hall effect; supersymmetry in statistical mechanics; and relations to two-dimensional Yang-Mills and QCD.

Author : P. Bouwknegt
Publisher : World Scientific Publishing Company Incorporated
Page : 332 pages
File Size : 52,9 Mb
Release : 1995
Category : Science
ISBN : 9810220650

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Recent Progress in Statistical Mechanics and Quantum Field Theory by P. Bouwknegt Pdf

Author : M. Levy
Publisher : Springer Science & Business Media
Page : 474 pages
File Size : 52,7 Mb
Release : 2013-06-29
Category : Science
ISBN : 9781461589181

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New Developments in Quantum Field Theory and Statistical Mechanics Cargèse 1976 by M. Levy Pdf

The 1976 Cargese Summer Institute was devoted to the study of certain exciting developments in quantum field theory and critical phenomena. Its genesis occurred in 1974 as an outgrowth of many scientific discussions amongst the undersigned, who decided to form a scientific committee for the organization of the school. On the one hand, various workers in quantum field theory were continuing to make startling progress in different directions. On the other hand, many new problems were arising from these various domains. Thus we feIt that 1976 might be an appropriate occasion both to review recent developments and to encourage interactions between researchers from different backgrounds working on a common set of unsolved problems. An important aspect of the school, as it took place, was the participation of and stimulating interaction between such a broad spectrum of theorists. The central topics of the school were chosen from the areas of solitons, phase transitions, critical behavior, the renormalization group, gauge fields and the analysis of nonrenormalizable field theories. A noteworthy feature of these topics is the interpene tration of ideas from quantum field theory and statistical mechanics whose inherent unity is seen in the functional integral formulation of quantum field theory. The actual lectures were partly in the form of tutorials designed to familiarize the participants with re cent progress on the main topics of the school. Others were in the form of more specialized seminars reporting on recent research.

Author : G. Mussardo,S. Randjbar-Daemi,Hubert Saleur
Publisher : Unknown
Page : 184 pages
File Size : 53,6 Mb
Release : 1996
Category : Quantum field theory
ISBN : UOM:39015037470336

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Recent Developments in Statistical Mechanics and Quantum Field Theory by G. Mussardo,S. Randjbar-Daemi,Hubert Saleur Pdf

Author : Mario Rasetti
Publisher : World Scientific
Page : 234 pages
File Size : 54,8 Mb
Release : 1990
Category : Science
ISBN : 9810202253

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New Problems, Methods and Techniques in Quantum Field Theory and Statistical Mechanics by Mario Rasetti Pdf

http://www.worldscientific.com/worldscibooks/10.1142/1095

Author : Poul Henrik Damgaard,H. Hüffel,A. Rosenblum
Publisher : Springer
Page : 374 pages
File Size : 54,8 Mb
Release : 2011-10-21
Category : Science
ISBN : 1461537851

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Probabilistic Methods in Quantum Field Theory and Quantum Gravity by Poul Henrik Damgaard,H. Hüffel,A. Rosenblum Pdf

From August 21 through August 27, 1989 the Nato Advanced Research Workshop Probabilistic Methods in Quantum Field Theory and Quantum Gravity" was held at l'Institut d'Etudes Scientifiques, Cargese, France. This publication is the Proceedings of this workshop. The purpose of the workshop was to bring together a group of scientists who have been at the forefront of the development of probabilistic methods in Quantum Field Theory and Quantum Gravity. The original thought was to put emphasis on the introduction of stochastic processes in the understanding of Euclidean Quantum Field Theory, with also some discussion of recent progress in the field of stochastic numerical methods. During the final preparation of the meeting we broadened the scope to include all those Euclidean Quantum Field Theory descriptions that make direct reference to concepts from probability theory and statistical mechanics. Several of the main contributions centered around a more rigorous discussion of stochastic processes for the formulation of Euclidean Quantum Field Theory. These rather stringent mathematical approaches were contrasted with the more heuristic stochastic quantization scheme developed in 1981 by Parisi and Wu: Stochastic quan tization, its intrinsic BRST -structure and stochastic regularization appeared in many disguises and in connection with several different problems throughout the workshop.

Author : Giuseppe Mussardo
Publisher : Oxford University Press
Page : 1154 pages
File Size : 50,6 Mb
Release : 2020-03-26
Category : Science
ISBN : 9780191092176

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Statistical Field Theory by Giuseppe Mussardo Pdf

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.

Author : Andrea Cappelli,Giuseppe Mussardo
Publisher : Springer Science & Business Media
Page : 344 pages
File Size : 50,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401005142

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Statistical Field Theories by Andrea Cappelli,Giuseppe Mussardo Pdf

Recent developments in theoretical physics include new instances of the unification of quite different phenomena. The theoretical community is challenged by the growing interactions between high-energy physics, statistical physics, and condensed matter physics. The common language, though, is exact solutions of two-dimensional and conformable field theories. This volume is a faithful representation of this interdisciplinary domain. Conformable and integrable field theories have been active research topics for several decades. The main recent developments concern the boundary effects and applications to disordered systems. The number of applications of the exact methods to condensed-matter problems has been growing over the years. Nowadays it is widely recognized that strongly interacting systems in low dimensions can be successfully described by integrable and conformable theories. This volume is an indispensable aid to those seeking to find their way in this domain.

Author : J. Ambjorn,B.J. Durhuus,J.L. Petersen
Publisher : Elsevier
Page : 307 pages
File Size : 42,7 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780444598394

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Recent Developments in Quantum Field Theory by J. Ambjorn,B.J. Durhuus,J.L. Petersen Pdf

Theoretical particle physicists discuss the present status and, in particular, the latest developments in quantum field theory, in their broadest aspects. This volume contains the main lectures presented at the symposium and reflects the contemporary status of a line of development, one of whose initiators was Niels Bohr.

Author : A.N. Vasiliev
Publisher : Routledge
Page : 320 pages
File Size : 53,5 Mb
Release : 2019-01-22
Category : Science
ISBN : 9781351446815

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Functional Methods in Quantum Field Theory and Statistical Physics by A.N. Vasiliev Pdf

Providing a systematic introduction to the techniques which are fundamental to quantum field theory, this book pays special attention to the use of these techniques in a wide variety of areas, including ordinary quantum mechanics, quantum mechanics in the second-quantized formulation, relativistic quantum field theory, Euclidean field theory, quant

Author : Dr. Gérard G. Emch
Publisher : Courier Corporation
Page : 352 pages
File Size : 55,9 Mb
Release : 2014-08-04
Category : Science
ISBN : 9780486151717

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Algebraic Methods in Statistical Mechanics and Quantum Field Theory by Dr. Gérard G. Emch Pdf

This systematic algebraic approach offers a careful formulation of the problems' physical motivations as well as self-contained descriptions of the mathematical methods for arriving at solutions. 1972 edition.

Author : Edouard Brezin,Spenta R Wadia
Publisher : World Scientific
Page : 1149 pages
File Size : 50,6 Mb
Release : 1993-08-31
Category : Science
ISBN : 9789814506632

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The Large N Expansion In Quantum Field Theory And Statistical Physics by Edouard Brezin,Spenta R Wadia Pdf

This book contains an edited comprehensive collection of reprints on the subject of the large N limit as applied to a wide spectrum of problems in quantum field theory and statistical mechanics. The topics include (1) Spin Systems; (2) Large N Limit of Gauge Theories; (3) Two-Dimensional QCD; (4) Exact Results on Planar Perturbation Series and the Nature of the 1/N Series; (5) Schwinger-Dyson Equations Approach; (6) QCD Phenomenological Lagrangians and the Large N Limit; (7) Other Approaches to Large N: Eguchi-Kawai Model, Collective Fields and Numerical Methods; (8) Matrix Models; (9) Two-Dimensional Gravity and String Theory.

Author : Michel Le Bellac
Publisher : Oxford University Press, USA
Page : 616 pages
File Size : 50,9 Mb
Release : 1991
Category : Language Arts & Disciplines
ISBN : UOM:39015059047947

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Quantum and Statistical Field Theory by Michel Le Bellac Pdf

As a fundamental branch of theoretical physics, quantum field theory has led, in the last 20 years, to spectacular progress in our understanding of phase transitions and elementary particles. This textbook emphasizes the underlying unity of the concepts and methods used in both domains, and presents in clear language topics such as the perturbative expansion, Feynman diagrams, renormalization, and the renormalization group. It contains detailed applications of critical phenomena to condensed matter physics, such as the calculation of critical exponents and a discussion of the XY model. Applications to particle physics include quantum electrodynamics and chromodynamics, electroweak interactions, and lattice gauge theories. The book is based on courses given over several years on statistical mechanics and field theory, and is written at graduate level. It attempts to guide the reader through a somewhat difficult and sometimes intricate subject in as clear a manner as possible, leading to a level of understanding where more advanced textbooks and research articles will be accessible. The only textbook covering the subject at this level, the work is thus an ideal guide for graduate and postgraduate students in physics, researchers in quantum and statistical field theory, and those from other fields of physics seeking an introduction to quantum field theory. A large number of problems are given to test the reader's grasp of the ideas.

Author : James Glimm,Arthur Jaffe
Publisher : Springer Science & Business Media
Page : 406 pages
File Size : 55,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461251583

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Quantum Field Theory and Statistical Mechanics by James Glimm,Arthur Jaffe Pdf

This volume contains a selection of expository articles on quantum field theory and statistical mechanics by James Glimm and Arthur Jaffe. They include a solution of the original interacting quantum field equations and a description of the physics which these equations contain. Quantum fields were proposed in the late 1920s as the natural framework which combines quantum theory with relativ ity. They have survived ever since. The mathematical description for quantum theory starts with a Hilbert space H of state vectors. Quantum fields are linear operators on this space, which satisfy nonlinear wave equations of fundamental physics, including coupled Dirac, Max well and Yang-Mills equations. The field operators are restricted to satisfy a "locality" requirement that they commute (or anti-commute in the case of fer mions) at space-like separated points. This condition is compatible with finite propagation speed, and hence with special relativity. Asymptotically, these fields converge for large time to linear fields describing free particles. Using these ideas a scattering theory had been developed, based on the existence of local quantum fields.

Author : Steffen Gielen,Sylvain Carrozza,Daniele Oriti
Publisher : MDPI
Page : 338 pages
File Size : 53,5 Mb
Release : 2020-07-01
Category : Mathematics
ISBN : 9783039361786

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Progress in Group Field Theory and Related Quantum Gravity Formalisms by Steffen Gielen,Sylvain Carrozza,Daniele Oriti Pdf

Following the fundamental insights from quantum mechanics and general relativity, geometry itself should have a quantum description; the search for a complete understanding of this description is what drives the field of quantum gravity. Group field theory is an ambitious framework in which theories of quantum geometry are formulated, incorporating successful ideas from the fields of matrix models, ten-sor models, spin foam models and loop quantum gravity, as well as from the broader areas of quantum field theory and mathematical physics. This special issue collects recent work in group field theory and these related approaches, as well as other neighbouring fields (e.g., cosmology, quantum information and quantum foundations, statistical physics) to the extent that these are directly relevant to quantum gravity research.