Axial Anomaly through Analytic Regularization

TL;DR

This paper demonstrates that using analytic regularization in (1+1)D quantum electrodynamics yields gauge-invariant vacuum polarization results and correctly reproduces the axial anomaly coefficient.

Contribution

It shows that analytic regularization properly captures gauge invariance and the axial anomaly in 2D QED, clarifying the regularization's role in anomaly calculations.

Findings

Analytic regularization produces gauge-invariant vacuum polarization.

Correct axial anomaly coefficient is obtained.

Highlights importance of regularization choice in anomaly computations.

Abstract

In this work we consider the 2-point Green's functions in (1+1) dimensional quantum electrodynamics and show that the correct implementation of analytic regularization gives a gauge invariant result for the vaccum polarization amplitude and the correct coefficient for the axial anomaly.