Scheme Dependence of the Wilsonian Effective Action and Sharp Cutoff Limit of the Flow Equation

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dc.creatorSumi, Jun-Ichi
dc.creatorSouma, Wataru
dc.creatorAoki, Ken-Ichi
dc.creatorTerao, Haruhiko
dc.creatorMorikawa, Keiichi
dc.date2000-02-28
dc.date.accessioned2026-07-07T04:09:33Z
dc.date.available2026-07-07T04:09:33Z
dc.descriptionThe cutoff scheme dependence in the several formulations of the Exact Renormalization Group (ERG) is investigated. It is shown that the cutoff scheme dependence of the Wilsonian effective action is regarded as a certain coordinate transformation on the theory space. From this observation the Wilsonian effective actions are found to suffer from strong dependence on the schemes even in the infra-red asymptotic region for massive theories. However there is no such scheme dependence in the one particle irreducible parts of them, which is called the effective average actions. We also derive the explicit form of the Polchinski RG equation in the sharp cutoff limit. Finally this equation is shown to be identical with the Wegner-Houghton RG equation.
dc.description24 pages, 13 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0002231
dc.identifierhttp://arxiv.org/abs/hep-th/0002231
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/49889
dc.subjectHigh Energy Physics - Theory
dc.titleScheme Dependence of the Wilsonian Effective Action and Sharp Cutoff Limit of the Flow Equation
dc.typetext

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