Axial and gauge anomalies in the field antifield quantization of the generalized Schwinger model

TL;DR

This paper investigates gauge and axial anomalies in a generalized Schwinger model using the field antifield formalism, revealing how these quantum effects manifest in a theory with linearly coupled currents.

Contribution

It provides a novel analysis of gauge and axial anomalies within the field antifield quantization of the generalized Schwinger model, highlighting the interplay of these anomalies.

Findings

Both gauge and axial anomalies are derived within the antifield framework.

The model demonstrates how arbitrary coupling coefficients influence anomaly structure.

Quantum corrections to currents are explicitly calculated.

Abstract

In the generalized Schwinger model the vector and axial vector currents are linearly coupled, with arbitrary coefficients, to the gauge connection. Therefore it represents an interesting example of a theory where both gauge anomalies and anomalous diver gences of global currents show up in general. We derive results for these two kinds of quantum corrections inside the field antifield framework.