Refining the anomaly consistency condition

Details Refining the anomaly consistency condition Refining the anomaly consistency condition

2000-03-15

arxiv.org/abs/hep-th/0003135v1

Phys.Rev. D62 (2000) 045007

Physics

High Energy Physics

High Energy Physics - Theory

20 pages RevTex file

Scientific paper

10.1103/PhysRevD.62.045007

In the extended antifield formalism, a quantum BRST differential for anomalous gauge theories is constructed. Local BRST cohomological classes are characterized, besides the form degree and the ghost number, by the length of their descents and of their lifts, and this both in the standard and the extended antifield formalism. It is shown that during the BRST invariant renormalization of a local BRST cohomological class, the anomaly that can appear is constrained to be a local BRST cohomological class with a shorter descent and a longer lift than the given class. As an application of both results, a simple approach to the Adler-Bardeen theorem for the non abelian gauge anomaly is proposed. It applies independently of the gauge fixing, of power counting restrictions and does not rely on the use of the Callan-Symanzik equation.

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