Statistical Field Theory: Volume 1, from Brownian Motion to Renormalization and Lattice Gauge Theory by Claude Itzykson
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Statistical Field Theory: Volume 1, from Brownian Motion to Renormalization and Lattice Gauge Theory
By Claude Itzykson

Statistical Field Theory: Volume 1, from Brownian Motion to Renormalization and Lattice Gauge Theory

From Brownian Motion to Renormalization and Lattice Gauge Theory v.1

By (author) See other recent books by Claude Itzykson See other recent books by Jean-Michel Drouffe
Series edited by P. V. Landshoff See other recent books by P. V. Landshoff
Format: Paperback

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Statistical Field Theory: Volume 1, from Brownian Motion to Renormalization and Lattice Gauge Theory by Claude Itzykson

Book Description

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.

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Book Details

ISBN: 9780521408059
ISBN-10: 0521408059
Format: Paperback
(228mm x 152mm x 24mm)
Pages: 428
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 29-Mar-1991
Country of Publication: United Kingdom

Books By Author Claude Itzykson

Quantum Field Theory by Claude Itzykson Quantum Field Theory, Paperback (March 2006)

This comprehensive text begins with the standard quantization of electrodynamics and perturbative renormalization, advancing to functional methods, relativistic bound states, broken symmetries, nonabelian gauge fields, and asymptotic behavior. 1980 edition.

Statistical Field Theory: Volume 2, Strong Coupling, Monte Carlo Methods, Conformal Field Theory and Random Systems by Claude Itzykson Statistical Field Theory: Volume 2, Strong Coupling, Monte Carlo Methods, Conformal Field Theory and Random Systems, Paperback (March 1991)

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.

» View all books by Claude Itzykson

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