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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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Functional renormalization group

Functional renormalization group

(p.381) 16 Functional renormalization group
Phase Transitions and Renormalization Group

Jean Zinn-Justin

Oxford University Press

This chapter describes a general approach to the renormalization group (RG) close to ideas initially developed by Wegner and Wilson, and based on a partial integration over the large-momentum modes of fields. This RG takes the form of functional renormalization group (FRG) equations that express the equivalence between a change of a scale parameter related to microscopic physics and a change of the parameters of the Hamiltonian. Some forms of these renormalization group equations (RGE) are exact and one then also speaks of the exact renormalization group.

Keywords:   renormalization group, dimension four, fixed point, Wegner and Wilson

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