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

1995/06/02 by U. Ellwanger, M. Hirsch, A. Weber · 1 citation
Physics and Astronomy · #hep-th

paper · pdf

published as Z.Phys. C69 (1996) 687-698 · 21 pages, standard LaTeX, 6 uuencoded figures

arxiv created 1995/06/02 · arxiv updated 2009/11/30

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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