Jump to ContentJump to Main Navigation
Phase Transitions and Renormalization Group$
Users without a subscription are not able to see the full content.

Jean Zinn-Justin

Print publication date: 2007

Print ISBN-13: 9780199227198

Published to Oxford Scholarship Online: January 2010

DOI: 10.1093/acprof:oso/9780199227198.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 18 September 2021

Quasi-Gaussian approximation: Universality, critical dimension

Quasi-Gaussian approximation: Universality, critical dimension

(p.179) 8 Quasi-Gaussian approximation: Universality, critical dimension
Phase Transitions and Renormalization Group

Jean Zinn-Justin

Oxford University Press

This chapter examines the universal properties of phase transitions in the quasi-Gaussian or mean-field approximations. It studies the singularities of thermodynamic functions at the transition point as well as the large-distance behaviour of the two-point correlation function. It summarizes the universal properties in the form of Landau′s theory. It stresses the peculiarities of models with continuous symmetries at low temperature due to the appearance of Goldstone modes. Finally, it evaluates corrections to the quasi-Gaussian approximation and shows that the approximation is only consistent in space dimension larger than four. Exercises are provided at the end of the chapter.

Keywords:   phase transitions, Gaussian approximation, mean-field approximation, universality, space dimensions

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .