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The Wilson–Polchinski exact renormalization group equation

Authors
Journal
Physics Letters A
0375-9601
Publisher
Elsevier
Publication Date
Volume
332
Identifiers
DOI: 10.1016/j.physleta.2004.09.037
Keywords
  • Exact Renormalization Group
  • Derivative Expansion
  • Critical Exponents

Abstract

Abstract The critical exponent η is not well accounted for in the Polchinski exact formulation of the renormalization group (RG). With a particular emphasis laid on the introduction of the critical exponent η, I re-establish (after Golner, hep-th/9801124) the explicit relation between the early Wilson exact RG equation, constructed with the incomplete integration as cutoff procedure, and the formulation with an arbitrary cutoff function proposed later on by Polchinski. I (re)-do the analysis of the Wilson–Polchinski equation expanded up to the next to leading order of the derivative expansion. I finally specify a criterion for choosing the “best” value of η to this order. This Letter will help in using more systematically the exact RG equation in various studies.

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