Higher Dimensional Schwinger-like Anomalous Effective Action

TL;DR

This paper derives a simple, explicit form of the anomalous effective action in arbitrary even dimensions for Abelian gauge fields coupled to fermions, extending the 2D Schwinger model.

Contribution

It provides a novel, straightforward extension of the 2D Schwinger model effective action to higher even dimensions for Abelian gauge theories.

Findings

Explicit form of the anomalous effective action in arbitrary even dimensions.

Extension of the 2D Schwinger model to higher dimensions.

Simplified representation of gauge anomalies in higher dimensions.

Abstract

We construct explicit form of the anomalous effective action, in arbitrary even dimension, for Abelian vector and axial gauge fields coupled to Dirac fermions. It turns out to be a surprisingly simple extension of 2D Schwinger model effective action.