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

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

1993-12-29

arxiv.org/abs/hep-th/9312206v1

Phys.Rev.Lett. 72 (1994) 1588-1591

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevLett.72.1588

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.

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