English

A general non renormalization theorem in the extended antifield formalism

High Energy Physics - Theory 2016-09-06 v2

Abstract

In the context of algebraic renormalization, the extended antifield formalism is used to derive the general forms of the anomaly consistency condition and of the Callan-Symanzik equation for generic gauge theories. A local version of the latter is used to derive sufficient conditions for the vanishing of beta functions associated to terms whose integrands are invariant only up to a divergence for an arbitrary non trivial non anomalous symmetry of the Lagrangian. These conditions are independent of power counting restrictions and of the form of the gauge fixation.

Keywords

Cite

@article{arxiv.hep-th/9805030,
  title  = {A general non renormalization theorem in the extended antifield formalism},
  author = {Glenn Barnich},
  journal= {arXiv preprint arXiv:hep-th/9805030},
  year   = {2016}
}

Comments

25 pages Latex file, major revision and extension

R2 v1 2026-07-22T16:10:20.045Z