Quantum Field Theory and Critical Phenomena

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Publisher : Oxford University Press
ISBN 13 : 0198834624
Total Pages : 1074 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis Quantum Field Theory and Critical Phenomena by : Jean Zinn-Justin

Download or read book Quantum Field Theory and Critical Phenomena written by Jean Zinn-Justin and published by Oxford University Press. This book was released on 2021 with total page 1074 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduced as a quantum extension of Maxwell's classical theory, quantum electrodynamics has been the first example of a Quantum Field Theory (QFT). Eventually, QFT has become the framework for the discussion of all fundamental interactions at the microscopic scale except, possibly, gravity. More surprisingly, it has also provided a framework for the understanding of second order phase transitions in statistical mechanics. As this work illustrates, QFT is the natural framework for the discussion of most systems involving an infinite number of degrees of freedom with local couplings. These systems range from cold Bose gases at the condensation temperature (about ten nanokelvin) to conventional phase transitions (from a few degrees to several hundred) and high energy particle physics up to a TeV, altogether more than twenty orders of magnitude in the energy scale. Therefore, this text sets out to present a work in which the strong formal relations between particle physics and the theory of critical phenomena are systematically emphasized. This option explains some of the choices made in the presentation. A formulation in terms of field integrals has been adopted to study the properties of QFT. The language of partition and correlation functions has been used throughout, even in applications of QFT to particle physics. Renormalization and renormalization group properties are systematically discussed. The notion of effective field theory and the emergence of renormalisable theories are described. The consequences for fine tuning and triviality issue are emphasized. This fifth edition has been updated and fully revised, e.g. in particle physics with progress in neutrino physics and the discovery of the Higgs boson. The presentation has been made more homogeneous througout the volume, and emphasis has been put on the notion of effective field theory and discussion of the emergence of renormalisable theories.

Field Theory, The Renormalization Group, And Critical Phenomena: Graphs To Computers (3rd Edition)

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Author :
Publisher : World Scientific Publishing Company
ISBN 13 : 9813102071
Total Pages : 568 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Field Theory, The Renormalization Group, And Critical Phenomena: Graphs To Computers (3rd Edition) by : Daniel J Amit

Download or read book Field Theory, The Renormalization Group, And Critical Phenomena: Graphs To Computers (3rd Edition) written by Daniel J Amit and published by World Scientific Publishing Company. This book was released on 2005-06-21 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume links field theory methods and concepts from particle physics with those in critical phenomena and statistical mechanics, the development starting from the latter point of view. Rigor and lengthy proofs are trimmed by using the phenomenological framework of graphs, power counting, etc., and field theoretic methods with emphasis on renormalization group techniques. Non-perturbative methods and numerical simulations are introduced in this new edition. Abundant references to research literature complement this matter-of-fact approach. The book introduces quantum field theory to those already grounded in the concepts of statistical mechanics and advanced quantum theory, with sufficient exercises in each chapter for use as a textbook in a one-semester graduate course.The following new chapters are included:I. Real Space MethodsII. Finite Size ScalingIII. Monte Carlo Methods. Numerical Field Theory

The Theory of Critical Phenomena

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Publisher : Oxford University Press
ISBN 13 : 0191660566
Total Pages : 477 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis The Theory of Critical Phenomena by : J. J. Binney

Download or read book The Theory of Critical Phenomena written by J. J. Binney and published by Oxford University Press. This book was released on 1992-06-11 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: The successful calculation of critical exponents for continuous phase transitions is one of the main achievements of theoretical physics over the last quarter-century. This was achieved through the use of scaling and field-theoretic techniques which have since become standard equipment in many areas of physics, especially quantum field theory. This book provides a thorough introduction to these techniques. Continuous phase transitions are introduced, then the necessary statistical mechanics is summarized, followed by standard models, some exact solutions and techniques for numerical simulations. The real-space renormalization group and mean-field theory are then explained and illustrated. The final chapters cover the Landau-Ginzburg model, from physical motivation, through diagrammatic perturbation theory and renormalization to the renormalization group and the calculation of critical exponents above and below the critical temperature.

Field Theory, The Renormalization Group And Critical Phenomena (2nd Edition)

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Author :
Publisher : World Scientific Publishing Company
ISBN 13 : 9813104147
Total Pages : 412 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Field Theory, The Renormalization Group And Critical Phenomena (2nd Edition) by : Daniel J Amit

Download or read book Field Theory, The Renormalization Group And Critical Phenomena (2nd Edition) written by Daniel J Amit and published by World Scientific Publishing Company. This book was released on 1984-08-31 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume links field theory methods and concepts from particle physics with those in critical phenomena and statistical mechanics, the development starting from the latter point of view. Rigor and lengthy proofs are trimmed by using the phenomenological framework of graphs, power counting, etc., and field theoretic methods with emphasis on renormalization group techniques. The book introduces quantum field theory to those already grounded in the concepts of statistical mechanics and advanced quantum theory, with sufficient exercises in each chapter for use as a textbook in a one-semester graduate course.

Field Theory, the Renormalization Group, and Critical Phenomena

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Author :
Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789971966119
Total Pages : 394 pages
Book Rating : 4.9/5 (661 download)

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Book Synopsis Field Theory, the Renormalization Group, and Critical Phenomena by : D. J. Amit

Download or read book Field Theory, the Renormalization Group, and Critical Phenomena written by D. J. Amit and published by World Scientific Publishing Company Incorporated. This book was released on 1984-01-01 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3662028662
Total Pages : 446 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory by : Roberto Fernandez

Download or read book Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory written by Roberto Fernandez and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Conformal Field Theory and Critical Phenomena in Two Dimensional Systems

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Author :
Publisher : CRC Press
ISBN 13 : 9783718648634
Total Pages : 180 pages
Book Rating : 4.6/5 (486 download)

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Book Synopsis Conformal Field Theory and Critical Phenomena in Two Dimensional Systems by : A.B. Zamolodchikov

Download or read book Conformal Field Theory and Critical Phenomena in Two Dimensional Systems written by A.B. Zamolodchikov and published by CRC Press. This book was released on 1989-01-31 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Renormalization Group in Critical Phenomena and Quantum Field Theory

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Publisher :
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.:/5 (258 download)

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Book Synopsis Renormalization Group in Critical Phenomena and Quantum Field Theory by : James D. Gunton

Download or read book Renormalization Group in Critical Phenomena and Quantum Field Theory written by James D. Gunton and published by . This book was released on 1973 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to the Theory of Critical Phenomena

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Author :
Publisher : World Scientific
ISBN 13 : 9814299499
Total Pages : 701 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Introduction to the Theory of Critical Phenomena by : Dimo I. Uzunov

Download or read book Introduction to the Theory of Critical Phenomena written by Dimo I. Uzunov and published by World Scientific. This book was released on 2010 with total page 701 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to the theory of phase transitions and critical phenomena. The content covers a period of more than 100 years of theoretical research of condensed matter phases and phase transitions providing a clear interrelationship with experimental problems. It starts from certain basic University knowledge of thermodynamics, statistical physics and quantum mechanics. The text is illustrated with classic examples of phase transitions. Various types of phase transition and (multi)critical points are introduced and explained. The classic aspects of the theory are naturally related with the modern developments. This interrelationship and the field-theoretical renormalization group method are presented in details. The main applications of the renormalization group methods are presented. Special attention is paid to the description of quantum phase transitions. This edition contains a more detailed presentation of the renormalization group method and its applications to particular systems.

New Developments in Quantum Field Theory and Statistical Mechanics Cargèse 1976

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461589185
Total Pages : 474 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis New Developments in Quantum Field Theory and Statistical Mechanics Cargèse 1976 by : M. Levy

Download or read book New Developments in Quantum Field Theory and Statistical Mechanics Cargèse 1976 written by M. Levy and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Field Theory and Condensed Matter

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Publisher :
ISBN 13 : 1108363466
Total Pages : 537 pages
Book Rating : 4.1/5 (83 download)

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Book Synopsis Quantum Field Theory and Condensed Matter by : Ramamurti Shankar

Download or read book Quantum Field Theory and Condensed Matter written by Ramamurti Shankar and published by . This book was released on 2017 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing a broad review of many techniques and their application to condensed matter systems, this book begins with a review of thermodynamics and statistical mechanics, before moving onto real and imaginary time path integrals and the link between Euclidean quantum mechanics and statistical mechanics. A detailed study of the Ising, gauge-Ising and XY models is included. The renormalization group is developed and applied to critical phenomena, Fermi liquid theory and the renormalization of field theories. Next, the book explores bosonization and its applications to one-dimensional fermionic systems and the correlation functions of homogeneous and random-bond Ising models. It concludes with Bohm-Pines and Chern-Simons theories applied to the quantum Hall effect. Introducing the reader to a variety of techniques, it opens up vast areas of condensed matter theory for both graduate students and researchers in theoretical, statistical and condensed matter physics.

Conceptual Foundations of Quantum Field Theory

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Publisher : Cambridge University Press
ISBN 13 : 9780521602723
Total Pages : 424 pages
Book Rating : 4.6/5 (27 download)

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Book Synopsis Conceptual Foundations of Quantum Field Theory by : Tian Yu Cao

Download or read book Conceptual Foundations of Quantum Field Theory written by Tian Yu Cao and published by Cambridge University Press. This book was released on 2004-03-25 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multi-author volume on the history and philosophy of physics.

Field Theory, the Renormalization Group, and Critical Phenomena

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Publisher :
ISBN 13 : 9789812775313
Total Pages : 568 pages
Book Rating : 4.7/5 (753 download)

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Book Synopsis Field Theory, the Renormalization Group, and Critical Phenomena by : Daniel J. Amit

Download or read book Field Theory, the Renormalization Group, and Critical Phenomena written by Daniel J. Amit and published by . This book was released on 2005 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to the Theory of Critical Phenomena

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Author :
Publisher : World Scientific Publishing Company
ISBN 13 : 9813100907
Total Pages : 700 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Introduction to the Theory of Critical Phenomena by : Dimo I Uzunov

Download or read book Introduction to the Theory of Critical Phenomena written by Dimo I Uzunov and published by World Scientific Publishing Company. This book was released on 2010-08-31 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to the theory of phase transitions and critical phenomena. The content covers a period of more than 100 years of theoretical research of condensed matter phases and phase transitions providing a clear interrelationship with experimental problems. It starts from certain basic University knowledge of thermodynamics, statistical physics and quantum mechanics. The text is illustrated with classic examples of phase transitions. Various types of phase transition and (multi)critical points are introduced and explained. The classic aspects of the theory are naturally related with the modern developments. This interrelationship and the field-theoretical renormalization group method are presented in details. The main applications of the renormalization group methods are presented. Special attention is paid to the description of quantum phase transitions. This edition contains a more detailed presentation of the renormalization group method and its applications to particular systems.

Renormalization Group in Critical Phenomena and Quantum Field Theory

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Author :
Publisher :
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Renormalization Group in Critical Phenomena and Quantum Field Theory by :

Download or read book Renormalization Group in Critical Phenomena and Quantum Field Theory written by and published by . This book was released on 1974 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:

New Developments in Quantum Field Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 0306470756
Total Pages : 364 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis New Developments in Quantum Field Theory by : Poul Henrik Damgaard

Download or read book New Developments in Quantum Field Theory written by Poul Henrik Damgaard and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum field theory is one of most central constructions in 20th century th- retical physics, and it continues to develop rapidly in many different directions. The aim of the workshop “New Developments in Quantum Field Theory”, which was held in Zakopane, Poland, June 14-20, 1997, was to capture a broad selection of the most recent advances in this field. The conference was sponsored by the Scientific and - vironmental Affairs Division of NATO, as part of the Advanced Research Workshop series. This book contains the proceedings of that meeting. Major topics covered at the workshop include quantized theories of gravity, string theory, conformal field theory, cosmology, field theory approaches to critical phenomena and the renormalization group, matrix models, and field theory techniques applied to the theory of turbulence. One common theme at the conference was the use of large-Nmatrix models to obtain exact results in a variety of different disciplines. For example, it has been known for several years that by taking a suitable double-scaling limit, certain string theories (or two-dimensional quantum gravity coupled to matter) can be re-obtained from the large-Nexpansion of matrix models. There continues to be a large activity in this area of research, which was well reflected by talks given at our workshop. Remarkably, large- Nmatrix models have very recently – just a few months before our meeting – been shown to have yet another deep relation to string theory.

The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics

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Author :
Publisher : CRC Press
ISBN 13 : 0203483561
Total Pages : 703 pages
Book Rating : 4.2/5 (34 download)

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Book Synopsis The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics by : A.N. Vasil'ev

Download or read book The Field Theoretic Renormalization Group in Critical Behavior Theory and Stochastic Dynamics written by A.N. Vasil'ev and published by CRC Press. This book was released on 2004-04-28 with total page 703 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a general field-theoretical picture of critical phenomena and stochastic dynamics and helps readers develop a practical skill for calculations. This education on the practical skill sets this book apart: it is the first to give a full technical introduction to the field. Both general ideas and ...hard... calculations are presen