Two-dimensional Chiral Anomaly in Differential Regularization

TL;DR

This paper demonstrates how the two-dimensional chiral anomaly can be derived using differential regularization, revealing its natural emergence in Ward identities and offering a universal approach without seagull terms.

Contribution

It shows that differential regularization naturally reproduces the two-dimensional chiral anomaly and maintains gauge symmetry without additional terms, providing a unified framework.

Findings

Anomaly appears in vector and axial Ward identities.

Gauge symmetry preserved without seagull terms.

Universal result explained by differential regularization.

Abstract

The two-dimensional chiral anomaly is calculated using differential regularization. It is shown that the anomaly emerges naturally in the vector and axial Ward identities on the same footing as the four-dimensional case. The vector gauge symmetry can be achieved by an appropriate choice of the mass scales without introducing the seagull term. We have analyzed the reason why such a universal result can be obtained in differential regularization.