Methods Of Quantum Field Theory In Statistical Physics

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Methods Of Quantum Field Theory In Statistical Physics
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Author : A. A. Abrikosov
language : en
Publisher: Courier Corporation
Release Date : 2012-05-04
Methods Of Quantum Field Theory In Statistical Physics written by A. A. Abrikosov and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-04 with Science categories.
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."
Functional Methods In Quantum Field Theory And Statistical Physics
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Author : A.N. Vasiliev
language : en
Publisher: CRC Press
Release Date : 1998-07-28
Functional Methods In Quantum Field Theory And Statistical Physics written by A.N. Vasiliev and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-07-28 with Science categories.
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.
Functional Integrals In Quantum Field Theory And Statistical Physics
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Author : V.N. Popov
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-11-30
Functional Integrals In Quantum Field Theory And Statistical Physics written by V.N. Popov 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 2001-11-30 with Science categories.
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.
Algebraic Methods In Statistical Mechanics And Quantum Field Theory
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Author : Dr. Gérard G. Emch
language : en
Publisher: Courier Corporation
Release Date : 2014-08-04
Algebraic Methods In Statistical Mechanics And Quantum Field Theory written by Dr. Gérard G. Emch and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-04 with Science categories.
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.
The Large N Expansion In Quantum Field Theory And Statistical Physics
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Author : E. Brzin
language : en
Publisher: World Scientific
Release Date : 1993
The Large N Expansion In Quantum Field Theory And Statistical Physics written by E. Brzin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Science categories.
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.
Methods Of Quantum Field Theory In Statistical Physics
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Author : A. A. Abrikosov
language : en
Publisher:
Release Date : 1987-05
Methods Of Quantum Field Theory In Statistical Physics written by A. A. Abrikosov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-05 with categories.
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."
Statistical Field Theory
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Author : Claude Itzykson
language : en
Publisher: Cambridge University Press
Release Date : 1991
Statistical Field Theory written by Claude Itzykson 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 1991 with Field theory (Physics). categories.
Notes after each chapter.
Quantum Field Theory And Condensed Matter
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Author : Ramamurti Shankar
language : en
Publisher: Cambridge University Press
Release Date : 2017-08-30
Quantum Field Theory And Condensed Matter written by Ramamurti Shankar 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 2017-08-30 with Science categories.
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.
Spectral Methods In Quantum Field Theory
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Author : Noah Graham
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-05-08
Spectral Methods In Quantum Field Theory written by Noah Graham 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 2009-05-08 with Science categories.
In this monograph we apply scattering theory methods to calculations in quantum ?eld theory, with a particular focus on properties of the quantum vacuum. These methods will provide e?cient and reliable solutions to a - riety of problems in quantum ?eld theory. Our approach will also elucidate in a concrete context many of the subtleties of quantum ?eld theory, such as divergences, regularization, and renormalization, by connecting them to more familiar results in quantum mechanics. We will use tools of scattering theory to characterize the spectrum of energyeigenstatesinapotentialbackground,hencethetermspectralmethods. This mode spectrum comprises both discrete bound states and a continuum of scattering states. We develop a powerful formalism that parameterizes the e?ects of the continuum by the density of states, which we compute from scattering data. Summing the zero-point energies of these modes gives the energy of the quantum vacuum, which is one of the central quantities we study.Althoughthemostcommonlystudiedbackgroundpotentialsarisefrom static soliton solutions to the classical equations of motion, these methods are not limited to such cases.
Markov Chain Monte Carlo Methods In Quantum Field Theories
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Author : Anosh Joseph
language : en
Publisher: Springer
Release Date : 2020-04-17
Markov Chain Monte Carlo Methods In Quantum Field Theories written by Anosh Joseph and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-17 with Science categories.
This primer is a comprehensive collection of analytical and numerical techniques that can be used to extract the non-perturbative physics of quantum field theories. The intriguing connection between Euclidean Quantum Field Theories (QFTs) and statistical mechanics can be used to apply Markov Chain Monte Carlo (MCMC) methods to investigate strongly coupled QFTs. The overwhelming amount of reliable results coming from the field of lattice quantum chromodynamics stands out as an excellent example of MCMC methods in QFTs in action. MCMC methods have revealed the non-perturbative phase structures, symmetry breaking, and bound states of particles in QFTs. The applications also resulted in new outcomes due to cross-fertilization with research areas such as AdS/CFT correspondence in string theory and condensed matter physics. The book is aimed at advanced undergraduate students and graduate students in physics and applied mathematics, and researchers in MCMC simulations and QFTs. At the end of this book the reader will be able to apply the techniques learned to produce more independent and novel research in the field.