Higher order cohomological restrictions on anomalies and counterterms

Abstract

Using a regularization with the properties of dimensional regularization, higher order local consistency conditions on one loop anomalies and divergent counterterms are given. They are derived without any a priori assumption on the form of the BRST cohomology and can be summarized by the statements that (i) the antibracket involving the first order divergent counterterms, respectively the first order anomaly, with any BRST cocycle is BRST exact, (ii) the first order divergent counterterms can be completed into a local deformation of the solution of the master equation and (iii) the first order anomaly can be deformed into a local cocycle of the deformed solution.

11 pages Latex file, mistake in assumption 2 forces a version limited to one loop considerations with a different derivation of main results

References in corpus (4)

• Antibracket, Antifields and Gauge-Theory Quantization
• Are Nonrenormalizable Gauge Theories Renormalizable?
• Higher Loop Anomalies and their Consistency Conditions in Nonlocal Regularization
• The BPHZ renormalised BV master equation and Two-loop Anomalies in Chiral Gravities

Cited by in corpus (6)

• On the cohomological derivation of topological Yang-Mills theory
• Self-interactions in a topological BF-type model in D=5
• On the generalized Freedman-Townsend model
• On the uniqueness of D=11 interactions among a graviton, a massless gravitino and a three-form. I: Pauli-Fierz and three-form
• Refining the anomaly consistency condition
• No cross-interactions between the Weyl graviton and the massless Rarita-Schwinger field