Extended Axial Model

TL;DR

This paper extends the axial model to include local gauge symmetries, calculates the axial current anomaly using Fujikawa's method, and derives an effective scalar-gauge interaction through a topological current.

Contribution

It introduces a new extended axial model incorporating local gauge symmetries and derives novel effective interactions and anomaly calculations.

Findings

Calculated axial current anomaly using Fujikawa formalism

Derived an effective scalar-gauge interaction via a topological current

Extended the known features of axial and Schwinger models

Abstract

We study an extension of the axial model where local gauge symmetries are taken into account. The anomaly of the axial current is calculated by the Fujikawa formalism and the model is also solved. Besides the well known features of the particular models (axial and Schwinger) it was obtained an effective interaction of scalar and gauge fields via a topological current.