Flow Equations for the Relevant Part of the Pure Yang-Mills Action

A. Weber; M. Hirsch; U. Ellwanger

Flow Equations for the Relevant Part of the Pure Yang-Mills Action

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arxiv hep-th/9506019 v1 pith:MNBEUDJS submitted 1995-06-02 hep-th

U. Ellwanger , M. Hirsch , A. Weber This is my paper

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keywords actioneffectiveequationsflowgroupidentitiesmodifiednonvanishing

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abstract

Wilson's exact renormalization group equations are derived and integrated for the relevant part of the pure Yang-Mills action. We discuss in detail how modified Slavnov-Taylor identities controle the breaking of BRST invariance in the presence of a finite infrared cutoff $k$ through relations among different parameters in the effective action. In particular they imply a nonvanishing gluon mass term for nonvanishing $k$. The requirement of consistency between the renormalization group flow and the modified Slavnov- Taylor identities allows to control the self-consistency of truncations of the effective action.

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