Renormalization of gauge invariant operators and anomalies in Yang-Mills theory

Abstract

A long-standing conjecture on the structure of renormalized, gauge invariant, integrated operators of arbitrary dimension in Yang-Mills theory is established. The general solution of the consistency condition for anomalies with sources included is also derived. This is achieved by computing explicitely the cohomology of the full unrestricted BRST operator in the space of local polynomial functionals with ghost number equal to zero or one. The argument does not use power counting and is purely cohomological. It relies crucially on standard properties of the antifield formalism.

10 pages, latex, ULB-PMIF-93/11

References in corpus (3)

• Consistent couplings between fields with a gauge freedom and deformations of the master equation
• General Solution of the Consistency Equation
• Remarks on the renormalization of gauge invariant operators in Yang-Mills theory

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