Many Degrees Of Freedom In Field Theory

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Many Degrees of Freedom in Field Theory

Author : L. Streit
Publisher : Springer Science & Business Media
ISBN 13 : 146158924X
Total Pages : 252 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Many Degrees of Freedom in Field Theory by : L. Streit

Download or read book Many Degrees of Freedom in Field Theory written by L. Streit and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volumes 30 and 31 of this series, dealing with "Many Degrees of Freedom," contain the proceedings of the 1976 International Summer Institute of Theoretical Physics, held at the university of Bielefeld from August 23 to September 4, 1976. This institute was the eighth in a series of summer schools devoted to particle physics and organized by universities and research institutes in the Federal Republic of Germany. Many degrees of freedom and collective phenomena play a critical role in the description and understanding of elementary particles. The lectures in this volume were intended to display how these structures occur in various recent developments of mathematical physics. Lectures ranged from classical nonlinear field theory over classical soliton models, constructive quantum field theory with soliton solutions and gauge models to the recent unified description of renormalization group tech niques in probabilistic language and to quantum statisti cal dynamics in terms of derivations. The Institute took place at the Center for Inter disciplinary Research of the University of Bielefeld. On behalf of all participants, it is a pleasure to thank the officials and the administration of the Center for their cooperation and help before and during the Insti tute. Special thanks go to V.C. Fulland, M. Kamper, and A. Kottenkamp for their rapid and competent preparation of the manuscripts.

Quantum Mechanics of Many Degrees of Freedom

Author : Daniel S. Koltun
Publisher : Wiley-VCH
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Quantum Mechanics of Many Degrees of Freedom by : Daniel S. Koltun

Download or read book Quantum Mechanics of Many Degrees of Freedom written by Daniel S. Koltun and published by Wiley-VCH. This book was released on 1988-08-11 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced text/reference presents the quantum theory of systems having many degrees of freedom, either because the systems contain many particles, or because of the possibility of particle creation or annihilation, or both. Theoretical techniques begin at the second quantization and the elements of quantum field theory, including pairing and tunneling, leading to diagrammatic methods for the many-body problem and for scattering theory. Presentation is self-contained and includes many examples and problems.

Bayesian Field Theory

Author : Jörg C. Lemm
Publisher : JHU Press
ISBN 13 : 0801877970
Total Pages : 432 pages
Book Rating : 4.8/5 (18 download)

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Book Synopsis Bayesian Field Theory by : Jörg C. Lemm

Download or read book Bayesian Field Theory written by Jörg C. Lemm and published by JHU Press. This book was released on 2003-07-08 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ask a traditional mathematician the likely outcome of a coin-toss, and he will reply that no evidence exists on which to base such a prediction. Ask a Bayesian, and he will examine the coin, conclude that it was probably not tampered with, and predict five hundred heads in a thousand tosses; a subsequent experiment would then be used to refine this prediction. The Bayesian approach, in other words, permits the use of prior knowledge when testing a hypothesis. Long the province of mathematicians and statisticians, Bayesian methods are applied in this ground-breaking book to problems in cutting-edge physics. Joerg Lemm offers practical examples of Bayesian analysis for the physicist working in such areas as neural networks, artificial intelligence, and inverse problems in quantum theory. The book also includes nonparametric density estimation problems, including, as special cases, nonparametric regression and pattern recognition. Thought-provoking and sure to be controversial, Bayesian Field Theory will be of interest to physicists as well as to other specialists in the rapidly growing number of fields that make use of Bayesian methods.

The Large N Expansion In Quantum Field Theory And Statistical Physics

Author : Edouard Brezin
Publisher : World Scientific
ISBN 13 : 981450663X
Total Pages : 1149 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis The Large N Expansion In Quantum Field Theory And Statistical Physics by : Edouard Brezin

Download or read book The Large N Expansion In Quantum Field Theory And Statistical Physics written by Edouard Brezin and published by World Scientific. This book was released on 1993-08-31 with total page 1149 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.

An Interpretive Introduction to Quantum Field Theory

Author : Paul Teller
Publisher : Princeton University Press
ISBN 13 : 0691216290
Total Pages : 190 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis An Interpretive Introduction to Quantum Field Theory by : Paul Teller

Download or read book An Interpretive Introduction to Quantum Field Theory written by Paul Teller and published by Princeton University Press. This book was released on 2020-07-21 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum mechanics is a subject that has captured the imagination of a surprisingly broad range of thinkers, including many philosophers of science. Quantum field theory, however, is a subject that has been discussed mostly by physicists. This is the first book to present quantum field theory in a manner that makes it accessible to philosophers. Because it presents a lucid view of the theory and debates that surround the theory, An Interpretive Introduction to Quantum Field Theory will interest students of physics as well as students of philosophy. Paul Teller presents the basic ideas of quantum field theory in a way that is understandable to readers who are familiar with non-relativistic quantum mechanics. He provides information about the physics of the theory without calculational detail, and he enlightens readers on how to think about the theory physically. Along the way, he dismantles some popular myths and clarifies the novel ways in which quantum field theory is both a theory about fields and about particles. His goal is to raise questions about the philosophical implications of the theory and to offer some tentative interpretive views of his own. This provocative and thoughtful book challenges philosophers to extend their thinking beyond the realm of quantum mechanics and it challenges physicists to consider the philosophical issues that their explorations have encouraged.

Condensed Matter Field Theory

Author : Alexander Altland
Publisher : Cambridge University Press
ISBN 13 : 0521769752
Total Pages : 785 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Condensed Matter Field Theory by : Alexander Altland

Download or read book Condensed Matter Field Theory written by Alexander Altland and published by Cambridge University Press. This book was released on 2010-03-11 with total page 785 pages. Available in PDF, EPUB and Kindle. Book excerpt: This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.

Quantum Field Theory

Author : Eduardo Fradkin
Publisher : Princeton University Press
ISBN 13 : 0691189552
Total Pages : 760 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Quantum Field Theory by : Eduardo Fradkin

Download or read book Quantum Field Theory written by Eduardo Fradkin and published by Princeton University Press. This book was released on 2021-03-23 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: The only graduate-level textbook on quantum field theory that fully integrates perspectives from high-energy, condensed-matter, and statistical physics Quantum field theory was originally developed to describe quantum electrodynamics and other fundamental problems in high-energy physics, but today has become an invaluable conceptual and mathematical framework for addressing problems across physics, including in condensed-matter and statistical physics. With this expansion of applications has come a new and deeper understanding of quantum field theory—yet this perspective is still rarely reflected in teaching and textbooks on the subject. Developed from a year-long graduate course Eduardo Fradkin has taught for years to students of high-energy, condensed-matter, and statistical physics, this comprehensive textbook provides a fully "multicultural" approach to quantum field theory, covering the full breadth of its applications in one volume. Brings together perspectives from high-energy, condensed-matter, and statistical physics in both the main text and exercises Takes students from basic techniques to the frontiers of physics Pays special attention to the relation between measurements and propagators and the computation of cross sections and response functions Focuses on renormalization and the renormalization group, with an emphasis on fixed points, scale invariance, and their role in quantum field theory and phase transitions Other topics include non-perturbative phenomena, anomalies, and conformal invariance Features numerous examples and extensive problem sets Also serves as an invaluable resource for researchers

General Principles of Quantum Field Theory

Author : N.N. Bogolubov
Publisher : Springer Science & Business Media
ISBN 13 : 9400904916
Total Pages : 714 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis General Principles of Quantum Field Theory by : N.N. Bogolubov

Download or read book General Principles of Quantum Field Theory written by N.N. Bogolubov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: The majority of the "memorable" results of relativistic quantum theory were obtained within the framework of the local quantum field approach. The explanation of the basic principles of the local theory and its mathematical structure has left its mark on all modern activity in this area. Originally, the axiomatic approach arose from attempts to give a mathematical meaning to the quantum field theory of strong interactions (of Yukawa type). The fields in such a theory are realized by operators in Hilbert space with a positive Poincare-invariant scalar product. This "classical" part of the axiomatic approach attained its modern form as far back as the sixties. * It has retained its importance even to this day, in spite of the fact that nowadays the main prospects for the description of the electro-weak and strong interactions are in connection with the theory of gauge fields. In fact, from the point of view of the quark model, the theory of strong interactions of Wightman type was obtained by restricting attention to just the "physical" local operators (such as hadronic fields consisting of ''fundamental'' quark fields) acting in a Hilbert space of physical states. In principle, there are enough such "physical" fields for a description of hadronic physics, although this means that one must reject the traditional local Lagrangian formalism. (The connection is restored in the approximation of low-energy "phe nomenological" Lagrangians.

Introduction To Quantum Field Theory

Author : Roberto Casalbuoni
Publisher : World Scientific Publishing Company
ISBN 13 : 9813108045
Total Pages : 286 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Introduction To Quantum Field Theory by : Roberto Casalbuoni

Download or read book Introduction To Quantum Field Theory written by Roberto Casalbuoni and published by World Scientific Publishing Company. This book was released on 2011-08-05 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with quantum field theory, the language of modern elementary particles physics. Based on university lectures given by the author, this volume provides a detailed technical treatment of quantum field theory that is particularly useful for students; it begins with the quantization of the most important free fields, the scalar, the spin-1/2 and the photon fields, and is then followed by a detailed account of symmetry properties, including a discussion on global and local symmetries and the spontaneous breaking of symmetries. Perturbation theory, one-loop effects for quantum electrodynamics, and renormalization properties are also covered.

Kappa Distributions

Author : George Livadiotis
Publisher : Elsevier
ISBN 13 : 0128046392
Total Pages : 740 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Kappa Distributions by : George Livadiotis

Download or read book Kappa Distributions written by George Livadiotis and published by Elsevier. This book was released on 2017-04-19 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kappa Distributions: Theory and Applications in Plasmas presents the theoretical developments of kappa distributions, their applications in plasmas, and how they affect the underpinnings of our understanding of space and plasma physics, astrophysics, and statistical mechanics/thermodynamics. Separated into three major parts, the book covers theoretical methods, analytical methods in plasmas, and applications in space plasmas. The first part of the book focuses on basic aspects of the statistical theory of kappa distributions, beginning with their connection to the solid backgrounds of non-extensive statistical mechanics. The book then moves on to plasma physics, and is devoted to analytical methods related to kappa distributions on various basic plasma topics, spanning linear/nonlinear plasma waves, solitons, shockwaves, and dusty plasmas. The final part of the book deals with applications in space plasmas, focusing on applications of theoretical and analytical developments in space plasmas from the heliosphere and beyond, in other astrophysical plasmas. Kappa Distributions is ideal for space, plasma, and statistical physicists; geophysicists, especially of the upper atmosphere; Earth and planetary scientists; and astrophysicists. - Answers important questions, such as how plasma waves are affected by kappa distributions and how solar wind, magnetospheres, and other geophysical, space, and astrophysical plasmas can be modeled using kappa distributions - Presents the features of kappa distributions in the context of plasmas, including how kappa indices, temperatures, and densities vary among the species populations in different plasmas - Provides readers with the information they need to decide which specific formula of kappa distribution should be used for a certain occasion and system (toolbox)

The Conceptual Framework of Quantum Field Theory

Author : Anthony Duncan
Publisher : Oxford University Press
ISBN 13 : 0191642207
Total Pages : pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis The Conceptual Framework of Quantum Field Theory by : Anthony Duncan

Download or read book The Conceptual Framework of Quantum Field Theory written by Anthony Duncan and published by Oxford University Press. This book was released on 2012-08-09 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The book attempts to provide an introduction to quantum field theory emphasizing conceptual issues frequently neglected in more "utilitarian" treatments of the subject. The book is divided into four parts, entitled respectively "Origins", "Dynamics", "Symmetries", and "Scales". The emphasis is conceptual - the aim is to build the theory up systematically from some clearly stated foundational concepts - and therefore to a large extent anti-historical, but two historical Chapters ("Origins") are included to situate quantum field theory in the larger context of modern physical theories. The three remaining sections of the book follow a step by step reconstruction of this framework beginning with just a few basic assumptions: relativistic invariance, the basic principles of quantum mechanics, and the prohibition of physical action at a distance embodied in the clustering principle. The "Dynamics" section of the book lays out the basic structure of quantum field theory arising from the sequential insertion of quantum-mechanical, relativistic and locality constraints. The central role of symmetries in relativistic quantum field theories is explored in the third section of the book, while in the final section, entitled "Scales", we explore in detail the feature of quantum field theories most critical for their enormous phenomenological success - the scale separation property embodied by the renormalization group properties of a theory defined by an effective local Lagrangian.

Introduction to Effective Field Theory

Author : C. P. Burgess
Publisher : Cambridge University Press
ISBN 13 : 0521195470
Total Pages : 665 pages
Book Rating : 4.5/5 (211 download)

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Book Synopsis Introduction to Effective Field Theory by : C. P. Burgess

Download or read book Introduction to Effective Field Theory written by C. P. Burgess and published by Cambridge University Press. This book was released on 2020-12-10 with total page 665 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced, accessible textbook on effective field theories uses worked examples to bring this important topic to a wider audience.

Effective Field Theories

Author : Alexey A. Petrov
Publisher : World Scientific
ISBN 13 : 9814434930
Total Pages : 318 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Effective Field Theories by : Alexey A. Petrov

Download or read book Effective Field Theories written by Alexey A. Petrov and published by World Scientific. This book was released on 2015-11-18 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a broad-based text intended to help the growing student body interested in constructing and applying methods of effective field theory to solve problems in their research. It begins with a review of using symmetries to identify the relevant degrees of freedom in a problem, and then presents a variety of methods that can be used to construct various effective theories. A detailed discussion of canonical applications of effective field theory techniques with increasing complexity is given, including Fermi's weak interaction, heavy-quark effective theory, and soft-collinear effective theory. Applications of these techniques to study physics beyond the standard model, dark matter, and quantum and classical gravity are explored. Although most examples come from questions in high-energy physics, many of the methods can also be applied in condensed-matter settings. Appendices include various factoids from group theory and other topics that are used throughout the text, in an attempt to make the book self-contained.

An Introduction To Quantum Field Theory

Author : Michael E. Peskin
Publisher : CRC Press
ISBN 13 : 0429983182
Total Pages : 866 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis An Introduction To Quantum Field Theory by : Michael E. Peskin

Download or read book An Introduction To Quantum Field Theory written by Michael E. Peskin and published by CRC Press. This book was released on 2018-05-04 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Classical Theory of Gauge Fields

Author : Valery Rubakov
Publisher : Princeton University Press
ISBN 13 : 1400825091
Total Pages : 456 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Classical Theory of Gauge Fields by : Valery Rubakov

Download or read book Classical Theory of Gauge Fields written by Valery Rubakov and published by Princeton University Press. This book was released on 2009-02-09 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a highly regarded lecture course at Moscow State University, this is a clear and systematic introduction to gauge field theory. It is unique in providing the means to master gauge field theory prior to the advanced study of quantum mechanics. Though gauge field theory is typically included in courses on quantum field theory, many of its ideas and results can be understood at the classical or semi-classical level. Accordingly, this book is organized so that its early chapters require no special knowledge of quantum mechanics. Aspects of gauge field theory relying on quantum mechanics are introduced only later and in a graduated fashion--making the text ideal for students studying gauge field theory and quantum mechanics simultaneously. The book begins with the basic concepts on which gauge field theory is built. It introduces gauge-invariant Lagrangians and describes the spectra of linear perturbations, including perturbations above nontrivial ground states. The second part focuses on the construction and interpretation of classical solutions that exist entirely due to the nonlinearity of field equations: solitons, bounces, instantons, and sphalerons. The third section considers some of the interesting effects that appear due to interactions of fermions with topological scalar and gauge fields. Mathematical digressions and numerous problems are included throughout. An appendix sketches the role of instantons as saddle points of Euclidean functional integral and related topics. Perfectly suited as an advanced undergraduate or beginning graduate text, this book is an excellent starting point for anyone seeking to understand gauge fields.

Field Theory

Author : Pierre Ramond
Publisher : Routledge
ISBN 13 : 0429689012
Total Pages : 345 pages
Book Rating : 4.4/5 (296 download)

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Book Synopsis Field Theory by : Pierre Ramond

Download or read book Field Theory written by Pierre Ramond and published by Routledge. This book was released on 2020-09-29 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents recent advances of perturbative relativistic field theory in a pedagogical and straightforward way. For graduate students who intend to specialize in high-energy physics.

Quantum Field Theory of Non-equilibrium States

Author : Jørgen Rammer
Publisher : Cambridge University Press
ISBN 13 : 9780521188005
Total Pages : 0 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis Quantum Field Theory of Non-equilibrium States by : Jørgen Rammer

Download or read book Quantum Field Theory of Non-equilibrium States written by Jørgen Rammer and published by Cambridge University Press. This book was released on 2011-03-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum field theory is the application of quantum mechanics to systems with infinitely many degrees of freedom. This 2007 textbook presents quantum field theoretical applications to systems out of equilibrium. It introduces the real-time approach to non-equilibrium statistical mechanics and the quantum field theory of non-equilibrium states in general. It offers two ways of learning how to study non-equilibrium states of many-body systems: the mathematical canonical way and an easy intuitive way using Feynman diagrams. The latter provides an easy introduction to the powerful functional methods of field theory, and the use of Feynman diagrams to study classical stochastic dynamics is considered in detail. The developed real-time technique is applied to study numerous phenomena in many-body systems. Complete with numerous exercises to aid self-study, this textbook is suitable for graduate students in statistical mechanics and condensed matter physics.