LPTHE Orsay 95–39 FLOW EQUATIONS FOR THE RELEVANT PART OF THE PURE YANG–MILLS ACTION

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 controle the self–consistency of truncations of the effective action. e–mail: [email protected]–psud.fr Laboratoire associé au Centre National de la Recherche Scientifique – URA 63 Supported by a DAAD–fellowship HSP II financed by the German Federal Ministry for Research and Technology; e–mail: [email protected]–psud.fr Supported by a LGFG–fellowship of the Land Baden–Württemberg and a DAAD–fellowship; e–mail: [email protected]–psud.fr