RENORMALIZATION OF GAUGE-INVARIANT OPERATORS AND ANOMALIES IN YANG-MILLS THEORY

A long-standing conjecture on the structure of renormalized, gauge inv ariant, integrated operators of arbitrary dimension in Yang-Mills theo ry is established. The general solution of the consistency condition f or anomalies with sources included is also derived. This is achieved b y computing explicitly the cohomology of the full unrestricted Becchi- Rouet-Stora-Tyutin operator in the space of local polynomial functiona ls with ghost number equal to zero or one. The argument does not use p ower counting and is purely cohomological. It relies crucially on stan dard properties of the antifield formalism.