Anomalies in Brst Anti Brst Approach as a Functional Integration Problem

Abstract

The most general method for quantizing gauge theories in a manifestly covariant manner proved to be the antifields-antibrackets formalism. The resulting Ward-Takahashi identities allow an elegant proof of renormalizability and the nilpotent nature of the BRST transformations seems to be the key for the unitarity of the S-matrix. However, even if the BRST anti BRST technique and the anomalies study is well documented, the following problems need to be covered: a) the definition of a functional integral operator in the BRST anti BRST formalism as the extension of the operator obtained in standard BRST; b) identifying the differential space on which this operator is acting; c) deriving the corresponding Ward identities and the Wess-Zumino consistency conditions.