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Phase Transitions and Renormalization Group
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Phase Transitions and Renormalization Group

Jean Zinn-Justin

Abstract

This book provides an elementary introduction to the notions of continuum limit and universality in statistical systems with a large number of degrees of freedom. The existence of a continuum limit requires the appearance of correlations at large distance, a situation that is encountered in second order phase transitions, near the critical temperature. In this context, the book emphasizes the role of gaussian distributions and their relations with the mean field approximation and Landau′s theory of critical phenomena. The book shows that quasi-gaussian or mean-field approximations cannot descr ... More

Keywords: continuum limit, universality, phase transitions, Gaussian distributions, mean field approximation, Landau′s theory, mean-field theory

Bibliographic Information

Print publication date: 2007 Print ISBN-13: 9780199227198
Published to Oxford Scholarship Online: January 2010 DOI:10.1093/acprof:oso/9780199227198.001.0001

Authors

Affiliations are at time of print publication.

Jean Zinn-Justin, author
Head of Department, Dapnia, CEA/Saclay, France