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  1. Home
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  3. Scaling and Renormalization in Statistical Physics
  • Cited by 1150
Publisher:
Cambridge University Press
Online publication date:
February 2015
Print publication year:
1996
Online ISBN:
9781316036440
DOI:
https://doi.org/10.1017/CBO9781316036440
Subjects:
Physics and Astronomy, Theoretical Physics and Mathematical Physics, Statistical Physics
Series:
Cambridge Lecture Notes in Physics (5)
Information

Book description

This text provides a thoroughly modern graduate-level introduction to the theory of critical behaviour. Beginning with a brief review of phase transitions in simple systems and of mean field theory, the text then goes on to introduce the core ideas of the renormalization group. Following chapters cover phase diagrams, fixed points, cross-over behaviour, finite-size scaling, perturbative renormalization methods, low-dimensional systems, surface critical behaviour, random systems, percolation, polymer statistics, critical dynamics and conformal symmetry. The book closes with an appendix on Gaussian integration, a selected bibliography, and a detailed index. Many problems are included. The emphasis throughout is on providing an elementary and intuitive approach. In particular, the perturbative method introduced leads, among other applications, to a simple derivation of the epsilon expansion in which all the actual calculations (at least to lowest order) reduce to simple counting, avoiding the need for Feynman diagrams.

Reviews

‘ … a short but very intelligible textbook well equilibrated by a variety of material.’

V. Zagrebnov Source: Zentralblatt Math

‘Supported with interesting exercises at the end of each chapter, Cardy’s book is likely to prove a popular introduction to this demanding but extraordinarily successful method for probing many complex phenomena.’

Source: Robert Matthews New Scientist

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Contents

Contents
References
Selected Bibliography
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