Field-Antifield formalism for Anomalous Gauge Theories

TL;DR

This paper extends the Field-Antifield formalism to handle anomalous gauge theories by introducing additional fields and constructing the necessary gauge transformations, Wess-Zumino term, and measure.

Contribution

It proposes a novel extension of the formalism specifically designed for anomalous gauge theories with closed, irreducible gauge algebras.

Findings

Successfully constructs gauge transformations for new fields

Derives the Wess-Zumino term within the extended formalism

Defines the measure for anomalous gauge theories

Abstract

An extension of the Field-Antifield formalism to treat anomalous gauge theories with a closed, irreducible classical gauge algebra is proposed. Introducing extra degrees of freedom, we construct the gauge transformations for these new fields, the Wess-Zumino term and the corresponding measure.