Introduction To Statistical Field Theory
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Introduction To Statistical Field Theory
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Author : Edouard Brézin
language : en
Publisher: Cambridge University Press
Release Date : 2010-07-22
Introduction To Statistical Field Theory written by Edouard Brézin 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 2010-07-22 with Science categories.
Knowledge of the renormalization group and field theory is a key part of physics, and is essential in condensed matter and particle physics. Written for advanced undergraduate and beginning graduate students, this textbook provides a concise introduction to this subject. The textbook deals directly with the loop expansion of the free energy, also known as the background field method. This is a powerful method, especially when dealing with symmetries, and statistical mechanics. In focussing on free energy, the author avoids long developments on field theory techniques. The necessity of renormalization then follows.
Statistical Field Theory
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Author : G. Mussardo
language : en
Publisher: Oxford University Press, USA
Release Date : 2010
Statistical Field Theory written by G. Mussardo and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
A thorough and pedagogical introduction to phase transitions and exactly solved models in statistical physics and quantum field theory.
Statistical Approach To Quantum Field Theory
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Author : Andreas Wipf
language : en
Publisher: Springer Nature
Release Date : 2021-10-25
Statistical Approach To Quantum Field Theory written by Andreas Wipf and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-25 with Science categories.
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.
Statistical Field Theory For Neural Networks
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Author : Moritz Helias
language : en
Publisher: Springer Nature
Release Date : 2020-08-20
Statistical Field Theory For Neural Networks written by Moritz Helias and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-20 with Science categories.
This book presents a self-contained introduction to techniques from field theory applied to stochastic and collective dynamics in neuronal networks. These powerful analytical techniques, which are well established in other fields of physics, are the basis of current developments and offer solutions to pressing open problems in theoretical neuroscience and also machine learning. They enable a systematic and quantitative understanding of the dynamics in recurrent and stochastic neuronal networks. This book is intended for physicists, mathematicians, and computer scientists and it is designed for self-study by researchers who want to enter the field or as the main text for a one semester course at advanced undergraduate or graduate level. The theoretical concepts presented in this book are systematically developed from the very beginning, which only requires basic knowledge of analysis and linear algebra.
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.
Statistical Physics Of Fields
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Author : Mehran Kardar
language : en
Publisher: Cambridge University Press
Release Date : 2007-06-07
Statistical Physics Of Fields written by Mehran Kardar 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 2007-06-07 with Science categories.
Textbook on statistical field theories for advanced graduate courses 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.
An Introduction To Quantum Field Theory
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Author : Michael E. Peskin
language : en
Publisher: CRC Press
Release Date : 2018-05-04
An Introduction To Quantum Field Theory written by Michael E. Peskin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Science categories.
An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.
Scaling And Renormalization In Statistical Physics
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Author : John Cardy
language : en
Publisher: Cambridge University Press
Release Date : 1996-04-26
Scaling And Renormalization In Statistical Physics written by John Cardy 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 1996-04-26 with Science categories.
This text provides a thoroughly modern graduate-level introduction to the theory of critical behaviour. It begins with a brief review of phase transitions in simple systems, then goes on to introduce the core ideas of the renormalisation group.
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.