Statistical Field Theory Volume 1 From Brownian Motion To Renormalization And Lattice Gauge Theory

Author : Claude Itzykson,Jean-Michel Drouffe
Publisher : Cambridge University Press
Page : 440 pages
File Size : 53,8 Mb
Release : 1991-03-29
Category : Science
ISBN : 0521408059

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Statistical Field Theory: Volume 1, From Brownian Motion to Renormalization and Lattice Gauge Theory by Claude Itzykson,Jean-Michel Drouffe Pdf

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.

Author : Claude Itzykson,Jean-Michel Drouffe
Publisher : Unknown
Page : 128 pages
File Size : 52,7 Mb
Release : 1989
Category : Field theory (Physics)
ISBN : 7506266423

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Statistical Field Theory: From Brownian motion to renormalization and lattice gauge theory by Claude Itzykson,Jean-Michel Drouffe Pdf

Author : Claude Itzykson,Jean-Michel Drouffe
Publisher : Cambridge University Press
Page : 440 pages
File Size : 51,5 Mb
Release : 1991-03-29
Category : Mathematics
ISBN : 0521408067

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Statistical Field Theory: Volume 2, Strong Coupling, Monte Carlo Methods, Conformal Field Theory and Random Systems by Claude Itzykson,Jean-Michel Drouffe Pdf

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.

Author : Yuri Makeenko
Publisher : Cambridge University Press
Page : 433 pages
File Size : 40,8 Mb
Release : 2023-07-31
Category : Science
ISBN : 9781009402057

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Methods of Contemporary Gauge Theory by Yuri Makeenko Pdf

Author : Rodolfo Gambini,Jorge Pullin
Publisher : Cambridge University Press
Page : 341 pages
File Size : 45,9 Mb
Release : 2023-01-31
Category : Science
ISBN : 9781009290197

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Loops, Knots, Gauge Theories by Rodolfo Gambini,Jorge Pullin Pdf

This volume provides a self-contained introduction to applications of loop representations in particle physics and quantum gravity, in order to explore the gauge invariant quantization of Yang-Mills theories and gravity. First published in 1996, this title has been reissued as an Open Access publication on Cambridge Core.

Author : Esteban A. Calzetta,Bei-Lok B. Hu
Publisher : Cambridge University Press
Page : 553 pages
File Size : 53,5 Mb
Release : 2023-01-31
Category : Science
ISBN : 9781009289986

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Nonequilibrium Quantum Field Theory by Esteban A. Calzetta,Bei-Lok B. Hu Pdf

This 2008 book, reissued as OA, captures the essence of nonequilibrium quantum field theory, graduate students and researchers.

Author : Joseph I. Kapusta,Charles Gale
Publisher : Cambridge University Press
Page : 443 pages
File Size : 51,8 Mb
Release : 2023-07-31
Category : Science
ISBN : 9781009401951

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Finite-Temperature Field Theory by Joseph I. Kapusta,Charles Gale Pdf

Author : Leonard Parker,David Toms
Publisher : Cambridge University Press
Page : 472 pages
File Size : 45,7 Mb
Release : 2009-08-20
Category : Science
ISBN : 9780521877879

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Quantum Field Theory in Curved Spacetime by Leonard Parker,David Toms Pdf

Suitable for graduate students, this book develops quantum field theory in curved spacetime in a pedagogical style.

Author : Stefan Pokorski
Publisher : Cambridge University Press
Page : 636 pages
File Size : 50,7 Mb
Release : 2000-03-13
Category : Science
ISBN : 0521478162

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Gauge Field Theories by Stefan Pokorski Pdf

An expanded and up-dated book examining gauge theories and their symmetries.

Author : Michel Le Bellac
Publisher : Cambridge University Press
Page : 274 pages
File Size : 40,9 Mb
Release : 2000-07-03
Category : Science
ISBN : 0521654777

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Thermal Field Theory by Michel Le Bellac Pdf

Introduction to the relativistic thermal field theory and its applications in particle physics and astrophysics.

Author : Carlo Rovelli
Publisher : Cambridge University Press
Page : 128 pages
File Size : 43,9 Mb
Release : 2007-11-29
Category : Science
ISBN : 9781139456159

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Quantum Gravity by Carlo Rovelli Pdf

Quantum gravity is perhaps the most important open problem in fundamental physics. It is the problem of merging quantum mechanics and general relativity, the two great conceptual revolutions in the physics of the twentieth century. The loop and spinfoam approach, presented in this 2004 book, is one of the leading research programs in the field. The first part of the book discusses the reformulation of the basis of classical and quantum Hamiltonian physics required by general relativity. The second part covers the basic technical research directions. Appendices include a detailed history of the subject of quantum gravity, hard-to-find mathematical material, and a discussion of some philosophical issues raised by the subject. This fascinating text is ideal for graduate students entering the field, as well as researchers already working in quantum gravity. It will also appeal to philosophers and other scholars interested in the nature of space and time.

Author : Yitzhak Frishman,Jacob Sonnenschein
Publisher : Cambridge University Press
Page : 457 pages
File Size : 47,8 Mb
Release : 2023-07-31
Category : Science
ISBN : 9781009401647

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Non-Perturbative Field Theory by Yitzhak Frishman,Jacob Sonnenschein Pdf

Author : Mark Burgess
Publisher : Cambridge University Press
Page : 553 pages
File Size : 41,8 Mb
Release : 2023-01-31
Category : Science
ISBN : 9781009289900

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Classical Covariant Fields by Mark Burgess Pdf

This 2002 book is for graduate students and researchers working on field theory, group theory and dynamical systems.

Author : Nicholas Manton,Paul Sutcliffe
Publisher : Cambridge University Press
Page : 507 pages
File Size : 47,8 Mb
Release : 2004-06-10
Category : Science
ISBN : 9781139454698

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Topological Solitons by Nicholas Manton,Paul Sutcliffe Pdf

Topological solitons occur in many nonlinear classical field theories. They are stable, particle-like objects, with finite mass and a smooth structure. Examples are monopoles and Skyrmions, Ginzburg-Landau vortices and sigma-model lumps, and Yang-Mills instantons. This book is a comprehensive survey of static topological solitons and their dynamical interactions. Particular emphasis is placed on the solitons which satisfy first-order Bogomolny equations. For these, the soliton dynamics can be investigated by finding the geodesics on the moduli space of static multi-soliton solutions. Remarkable scattering processes can be understood this way. The book starts with an introduction to classical field theory, and a survey of several mathematical techniques useful for understanding many types of topological soliton. Subsequent chapters explore key examples of solitons in one, two, three and four dimensions. The final chapter discusses the unstable sphaleron solutions which exist in several field theories.

Author : Tomás Ortín
Publisher : Cambridge University Press
Page : 708 pages
File Size : 53,9 Mb
Release : 2004-03-25
Category : Science
ISBN : 9781139449960

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Gravity and Strings by Tomás Ortín Pdf

One appealing feature of string theory is that it provides a theory of quantum gravity. Gravity and Strings is a self-contained, pedagogical exposition of this theory, its foundations and its basic results. In Part I, the foundations are traced back to the very early special-relativistic field theories of gravity, showing how such theories lead to general relativity. Gauge theories of gravity are then discussed and used to introduce supergravity theories. In Part II, some of the most interesting solutions of general relativity and its generalizations are studied. The final Part presents and studies string theory from the effective action point of view, using the results found earlier in the book as background. This 2004 book will be useful as a reference book for graduate students and researchers, as well as a complementary textbook for courses on gravity, supergravity and string theory.