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Phase Transitions and Renormalization Group$
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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

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Renormalization group: General formulation

Renormalization group: General formulation

Chapter:
(p.217) 9 Renormalization group: General formulation
Source:
Phase Transitions and Renormalization Group
Author(s):

Jean Zinn-Justin

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199227198.003.0009

This chapter introduces the general concept of renormalization group in the spirit of the work. It studies the role of fixed points and their stability properties. It exhibits a particular fixed point, the Gaussian fixed point, which is stable in dimension larger than four. It identifies the leading perturbation to the Gaussian fixed point in dimension = four. It discusses the possible existence of a non-Gaussian fixed point near dimension four.

Keywords:   statistical field theory, renormalization group, Gaussian fixed point, fixed points

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