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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

(p.217) 9 Renormalization group: General formulation
Phase Transitions and Renormalization Group

Jean Zinn-Justin

Oxford University Press

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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