Axial and Gauge Anomalies in the BV Formalism

Abstract

We discuss the quantization of the Schwinger and the axial Schwinger models in the Batalin–Vilkovisky–Lagrangian framework in order to illustrate how the one-loop order corrections to the action can be chosen in such a way that we may have either the vector current or the axial current conserved. We show for these two models that a BRST invariant local representation can be obtained by introducing extra Wess–Zumino fields. We also discuss the choice of the regulating operator, including the case of the chiral Schwinger model.