Quantum Statistical Field Theory

Author : Andreas Wipf
Publisher : Springer Nature
Page : 568 pages
File Size : 43,9 Mb
Release : 2021-10-25
Category : Science
ISBN : 9783030832636

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Statistical Approach to Quantum Field Theory by Andreas Wipf Pdf

This new expanded second edition has been totally revised and corrected. The reader finds two complete new chapters. One covers the exact solution of the finite temperature Schwinger model with periodic boundary conditions. This simple model supports instanton solutions – similarly as QCD – and allows for a detailed discussion of topological sectors in gauge theories, the anomaly-induced breaking of chiral symmetry and the intriguing role of fermionic zero modes. The other new chapter is devoted to interacting fermions at finite fermion density and finite temperature. Such low-dimensional models are used to describe long-energy properties of Dirac-type materials in condensed matter physics. The large-N solutions of the Gross-Neveu, Nambu-Jona-Lasinio and Thirring models are presented in great detail, where N denotes the number of fermion flavors. Towards the end of the book corrections to the large-N solution and simulation results of a finite number of fermion flavors are presented. Further problems are added at the end of each chapter in order to guide the reader to a deeper understanding of the presented topics. This book is meant for advanced students and young researchers who want to acquire the necessary tools and experience to produce research results in the statistical approach to Quantum Field Theory.

Author : James Glimm,Arthur Jaffe
Publisher : Springer Science & Business Media
Page : 406 pages
File Size : 40,9 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 : A.N. Vasiliev
Publisher : CRC Press
Page : 336 pages
File Size : 42,9 Mb
Release : 1998-07-28
Category : Science
ISBN : 9056990357

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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, quantum statistics at finite temperature, and the classical statistics of nonideal gas and spin systems. The extended chapter on variational methods and functional Legendre transformations contains completely original material.

Author : Norman J. M. Horing
Publisher : Oxford University Press
Page : 453 pages
File Size : 47,9 Mb
Release : 2017
Category : Science
ISBN : 9780198791942

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Quantum Statistical Field Theory by Norman J. M. Horing Pdf

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.

Author : G. Mussardo
Publisher : Oxford University Press
Page : 778 pages
File Size : 49,8 Mb
Release : 2010
Category : Science
ISBN : 9780199547586

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Statistical Field Theory by G. Mussardo Pdf

A thorough and pedagogical introduction to phase transitions and exactly solved models in statistical physics and quantum field theory.

Author : Michel Le Bellac
Publisher : Unknown
Page : 0 pages
File Size : 41,6 Mb
Release : 2023
Category : Quantum field theory
ISBN : 138302653X

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Quantum and Statistical Field Theory by Michel Le Bellac Pdf

A presentation of the concepts and methods of quantum field theory that have been so successful over the past 20 years in treating the theory of second order phase transitions and elementary particle physics. It emphasizes the underlying unity of the subject and details various applications.

Author : Michel Le Bellac
Publisher : Oxford University Press, USA
Page : 616 pages
File Size : 42,7 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 : Alekseĭ Alekseevich Abrikosov
Publisher : Unknown
Page : 376 pages
File Size : 51,9 Mb
Release : 1963
Category : Low temperature research
ISBN : UOM:39015001329716

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Methods of Quantum Field Theory in Statistical Physics by Alekseĭ Alekseevich Abrikosov Pdf

Author : Dr. Gérard G. Emch
Publisher : Courier Corporation
Page : 352 pages
File Size : 49,8 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 : Giorgio Parisi
Publisher : Addison Wesley Publishing Company
Page : 378 pages
File Size : 46,5 Mb
Release : 1988-01-21
Category : Science
ISBN : UVA:X001401643

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Statistical Field Theory by Giorgio Parisi Pdf

A comprehensive text book covering the field of statistical physics.

Author : V.N. Popov
Publisher : Springer Science & Business Media
Page : 316 pages
File Size : 54,6 Mb
Release : 2001-11-30
Category : Science
ISBN : 1402003072

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Functional Integrals in Quantum Field Theory and Statistical Physics by V.N. Popov Pdf

Functional integration is one of the most powerful methods of contempo rary theoretical physics, enabling us to simplify, accelerate, and make clearer the process of the theoretician's analytical work. Interest in this method and the endeavour to master it creatively grows incessantly. This book presents a study of the application of functional integration methods to a wide range of contemporary theoretical physics problems. The concept of a functional integral is introduced as a method of quantizing finite-dimensional mechanical systems, as an alternative to ordinary quantum mechanics. The problems of systems quantization with constraints and the manifolds quantization are presented here for the first time in a monograph. The application of the functional integration methods to systems with an infinite number of degrees of freedom allows one to uniquely introduce and formulate the diagram perturbation theory in quantum field theory and statistical physics. This approach is significantly simpler than the widely accepted method using an operator approach.

Author : Edouard Brezin,Spenta R Wadia
Publisher : World Scientific
Page : 1149 pages
File Size : 54,5 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 : A. A. Abrikosov,L. P. Gorkov,I. E. Dzyaloshinski
Publisher : Courier Corporation
Page : 384 pages
File Size : 55,5 Mb
Release : 2012-05-04
Category : Science
ISBN : 9780486140155

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Methods of Quantum Field Theory in Statistical Physics by A. A. Abrikosov,L. P. Gorkov,I. E. Dzyaloshinski Pdf

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."

Author : Ramamurti Shankar
Publisher : Unknown
Page : 537 pages
File Size : 52,5 Mb
Release : 2017
Category : Condensed matter
ISBN : 9781108363464

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Quantum Field Theory and Condensed Matter by Ramamurti Shankar Pdf

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.

Author : Dénes Petz
Publisher : Springer Science & Business Media
Page : 216 pages
File Size : 48,6 Mb
Release : 2007-10-20
Category : Science
ISBN : 9783540746362

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Quantum Information Theory and Quantum Statistics by Dénes Petz Pdf

This concise and readable book addresses primarily readers with a background in classical statistical physics and introduces quantum mechanical notions as required. Conceived as a primer to bridge the gap between statistical physics and quantum information, it emphasizes concepts and thorough discussions of the fundamental notions and prepares the reader for deeper studies, not least through a selection of well chosen exercises.