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

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

1995-06-02

arxiv.org/abs/hep-th/9506019v1

Z.Phys. C69 (1996) 687-698

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, standard LaTeX, 6 uuencoded figures

Scientific paper

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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