Quantum Statistical Field Theory

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Publisher : Oxford University Press
ISBN 13 : 0198791941
Total Pages : 453 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis Quantum Statistical Field Theory by : Norman J. M. Horing

Download or read book Quantum Statistical Field Theory written by Norman J. M. Horing and published by Oxford University Press. This book was released on 2017 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the methods of coupled quantum statistical field theory and Green's functions. The methods of coupled quantum field theory have played a major role in the extensive development of nonrelativistic quantum many-particle theory and condensed matter physics. This introduction to the subject is intended to facilitate delivery of the material in an easily digestible form to advanced undergraduate physics majors at a relatively early stage of their scientific development. The main mechanism to accomplish this is the early introduction of variational calculus and the Schwinger Action Principle, accompanied by Green's functions. Important achievements of the theory in condensed matter and quantum statistical physics are reviewed in detail to help develop research capability. These include the derivation of coupled field Green's function equations-of-motion for a model electron-hole-phonon system, extensive discussions of retarded, thermodynamic and nonequilibrium Green's functions and their associated spectral representations and approximation procedures. Phenomenology emerging in these discussions include quantum plasma dynamic-nonlocal-screening, plasmons, polaritons, linear electromagnetic response, excitons, polarons, phonons, magnetic Landau quantization, van der Waals interactions, chemisorption, etc. Considerable attention is also given to low dimensional and nanostructured systems, including quantum wells, wires, dots and superlattices, as well as materials having exceptional conduction properties such as Superconductors, Superfluids and Graphene.

Statistical Field Theory: Volume 1, From Brownian Motion to Renormalization and Lattice Gauge Theory

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Publisher : Cambridge University Press
ISBN 13 : 9780521408059
Total Pages : 440 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Statistical Field Theory: Volume 1, From Brownian Motion to Renormalization and Lattice Gauge Theory by : Claude Itzykson

Download or read book Statistical Field Theory: Volume 1, From Brownian Motion to Renormalization and Lattice Gauge Theory written by Claude Itzykson and published by Cambridge University Press. This book was released on 1991-03-29 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 1: From Brownian Motion to Renormalization and Lattice Gauge Theory. Volume 2: Strong Coupling, Monte Carlo Methods, Conformal Field Theory, and Random Systems. This two-volume work provides a comprehensive and timely survey of the application of the methods of quantum field theory to statistical physics, a very active and fruitful area of modern research. The first volume provides a pedagogical introduction to the subject, discussing Brownian motion, its anticommutative counterpart in the guise of Onsager's solution to the two-dimensional Ising model, the mean field or Landau approximation, scaling ideas exemplified by the Kosterlitz-Thouless theory for the XY transition, the continuous renormalization group applied to the standard phi-to the fourth theory (the simplest typical case) and lattice gauge theory as a pathway to the understanding of quark confinement in quantum chromodynamics. The second volume covers more diverse topics, including strong coupling expansions and their analysis, Monte Carlo simulations, two-dimensional conformal field theory, and simple disordered systems. The book concludes with a chapter on random geometry and the Polyakov model of random surfaces which illustrates the relations between string theory and statistical physics. The two volumes that make up this work will be useful to theoretical physicists and applied mathematicians who are interested in the exciting developments which have resulted from the synthesis of field theory and statistical physics.

Statistical Field Theory

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Publisher : Addison Wesley Publishing Company
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.:/5 (42 download)

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Book Synopsis Statistical Field Theory by : Giorgio Parisi

Download or read book Statistical Field Theory written by Giorgio Parisi and published by Addison Wesley Publishing Company. This book was released on 1988-01-21 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive text book covering the field of statistical physics.

Methods of Quantum Field Theory in Statistical Physics

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Publisher : Courier Corporation
ISBN 13 : 0486140156
Total Pages : 384 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Methods of Quantum Field Theory in Statistical Physics by : A. A. Abrikosov

Download or read book Methods of Quantum Field Theory in Statistical Physics written by A. A. Abrikosov and published by Courier Corporation. This book was released on 2012-05-04 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive introduction to the many-body theory was written by three renowned physicists and acclaimed by American Scientist as "a classic text on field theoretic methods in statistical physics."

Quantum and Statistical Field Theory

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Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 616 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Quantum and Statistical Field Theory by : Michel Le Bellac

Download or read book Quantum and Statistical Field Theory written by Michel Le Bellac and published by Oxford University Press, USA. This book was released on 1991 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Field Theory and Statistical Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 1461251583
Total Pages : 406 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Quantum Field Theory and Statistical Mechanics by : James Glimm

Download or read book Quantum Field Theory and Statistical Mechanics written by James Glimm and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Statistical Field Theory

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Publisher : Oxford Graduate Texts
ISBN 13 : 019878810X
Total Pages : 1017 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis Statistical Field Theory by : Giuseppe Mussardo

Download or read book Statistical Field Theory written by Giuseppe Mussardo and published by Oxford Graduate Texts. This book was released on 2020-03-06 with total page 1017 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Statistical Field Theory

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Publisher : Oxford University Press
ISBN 13 : 0199547580
Total Pages : 778 pages
Book Rating : 4.1/5 (995 download)

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Book Synopsis Statistical Field Theory by : G. Mussardo

Download or read book Statistical Field Theory written by G. Mussardo and published by Oxford University Press. This book was released on 2010 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough and pedagogical introduction to phase transitions and exactly solved models in statistical physics and quantum field theory.

Functional Methods in Quantum Field Theory and Statistical Physics

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Publisher : Routledge
ISBN 13 : 1351446800
Total Pages : 212 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Functional Methods in Quantum Field Theory and Statistical Physics by : A.N. Vasiliev

Download or read book Functional Methods in Quantum Field Theory and Statistical Physics written by A.N. Vasiliev and published by Routledge. This book was released on 2019-01-22 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

The Large N Expansion in Quantum Field Theory and Statistical Physics

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Publisher : World Scientific
ISBN 13 : 9789810204563
Total Pages : 1154 pages
Book Rating : 4.2/5 (45 download)

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Book Synopsis The Large N Expansion in Quantum Field Theory and Statistical Physics by : E. Br‚zin

Download or read book The Large N Expansion in Quantum Field Theory and Statistical Physics written by E. Br‚zin and published by World Scientific. This book was released on 1993 with total page 1154 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Statistical Field Theory - an Introduction to Schwingers Variationa

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Publisher :
ISBN 13 : 9780198791942
Total Pages : pages
Book Rating : 4.7/5 (919 download)

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Book Synopsis Quantum Statistical Field Theory - an Introduction to Schwingers Variationa by : Norman J. M. (emeritus Professor Horing (Department Of Phy)

Download or read book Quantum Statistical Field Theory - an Introduction to Schwingers Variationa written by Norman J. M. (emeritus Professor Horing (Department Of Phy) and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elements of Statistical Mechanics

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Publisher : Cambridge University Press
ISBN 13 : 1139452460
Total Pages : 347 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Elements of Statistical Mechanics by : Ivo Sachs

Download or read book Elements of Statistical Mechanics written by Ivo Sachs and published by Cambridge University Press. This book was released on 2006-05-11 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2006 textbook provides a concise introduction to the key concepts and tools of statistical mechanics. It also covers advanced topics such as non-relativistic quantum field theory and numerical methods. After introducing classical analytical techniques, such as cluster expansion and Landau theory, the authors present important numerical methods with applications to magnetic systems, Lennard-Jones fluids and biophysics. Quantum statistical mechanics is discussed in detail and applied to Bose-Einstein condensation and topics in astrophysics and cosmology. In order to describe emergent phenomena in interacting quantum systems, canonical non-relativistic quantum field theory is introduced and then reformulated in terms of Feynman integrals. Combining the authors' many years' experience of teaching courses in this area, this textbook is ideal for advanced undergraduate and graduate students in physics, chemistry and mathematics.

New Developments in Quantum Field Theory and Statistical Mechanics Cargèse 1976

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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.

Statistical Approach to Quantum Field Theory

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Publisher : Springer
ISBN 13 : 364233105X
Total Pages : 390 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Statistical Approach to Quantum Field Theory by : Andreas Wipf

Download or read book Statistical Approach to Quantum Field Theory written by Andreas Wipf and published by Springer. This book was released on 2012-10-28 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past few decades the powerful methods of statistical physics and Euclidean quantum field theory have moved closer together, with common tools based on the use of path integrals. The interpretation of Euclidean field theories as particular systems of statistical physics has opened up new avenues for understanding strongly coupled quantum systems or quantum field theories at zero or finite temperatures. Accordingly, the first chapters of this book contain a self-contained introduction to path integrals in Euclidean quantum mechanics and statistical mechanics. The resulting high-dimensional integrals can be estimated with the help of Monte Carlo simulations based on Markov processes. The most commonly used algorithms are presented in detail so as to prepare the reader for the use of high-performance computers as an “experimental” tool for this burgeoning field of theoretical physics. Several chapters are then devoted to an introduction to simple lattice field theories and a variety of spin systems with discrete and continuous spins, where the ubiquitous Ising model serves as an ideal guide for introducing the fascinating area of phase transitions. As an alternative to the lattice formulation of quantum field theories, variants of the flexible renormalization group methods are discussed in detail. Since, according to our present-day knowledge, all fundamental interactions in nature are described by gauge theories, the remaining chapters of the book deal with gauge theories without and with matter. This text is based on course-tested notes for graduate students and, as such, its style is essentially pedagogical, requiring only some basics of mathematics, statistical physics, and quantum field theory. Yet it also contains some more sophisticated concepts which may be useful to researchers in the field. Each chapter ends with a number of problems – guiding the reader to a deeper understanding of some of the material presented in the main text – and, in most cases, also features some listings of short, useful computer programs.

Statistical Field Theories

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Publisher : Springer Science & Business Media
ISBN 13 : 9781402007613
Total Pages : 372 pages
Book Rating : 4.0/5 (76 download)

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Book Synopsis Statistical Field Theories by : Andrea Cappelli

Download or read book Statistical Field Theories written by Andrea Cappelli and published by Springer Science & Business Media. This book was released on 2002-08-31 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Geometry

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Publisher : Cambridge University Press
ISBN 13 : 0521461677
Total Pages : 377 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Quantum Geometry by : Jan Ambjørn

Download or read book Quantum Geometry written by Jan Ambjørn and published by Cambridge University Press. This book was released on 1997-06-19 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes random geometry and applications to strings, quantum gravity, topological field theory and membrane physics.

Statistical Field Theory

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Publisher :
ISBN 13 : 9780198767046
Total Pages : pages
Book Rating : 4.7/5 (67 download)

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Book Synopsis Statistical Field Theory by :

Download or read book Statistical Field Theory written by and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: