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

U. Ellwanger; M. Hirsch; A. Weber

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arXiv · hep-th/9506019

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

U. Ellwanger·M. Hirsch·A. Weber

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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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U. Ellwanger, M. Hirsch, A. Weber. 1995-06-02. Flow Equations for the Relevant Part of the Pure Yang-Mills Action. https://arxiv.org/abs/hep-th/9506019

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