Chiral anomaly for local boundary conditions

TL;DR

This paper uses heat kernel methods to compute boundary contributions to the chiral anomaly under local boundary conditions, providing new insights into heat trace asymptotics and anomaly calculations.

Contribution

It introduces a novel application of heat kernel techniques to evaluate boundary effects on the chiral anomaly with local boundary conditions.

Findings

Derived boundary contributions to the chiral anomaly.

Obtained new results on heat trace asymptotics.

Enhanced understanding of anomaly calculations with boundary conditions.

Abstract

It is known that in the zeta function regularization and in the Fujikawa method chiral anomaly is defined through a coefficient in the heat kernel expansion for the Dirac operator. In this paper we apply the heat kernel methods to calculate boundary contributions to the chiral anomaly for local (bag) boundary conditions. As a by-product some new results on the heat trace asymptotics are also obtained.