Investigation of Pontryagin trace anomaly using Pauli-Villars regularization

Abstract

In this paper, we investigate the Pontryagin trace anomaly for chiral fermions in a general curved background using Pauli-Villars regularization. We use both Feynman diagram method and Fujikawa's method to calculate the parity-odd contribution (Pontryagin term). Our result indicates that the trace anomaly of energy-momentum tensor for chiral fermions has Pontryagin term $P=\frac{i}{1536{\pi }^2}{\epsilon }_{\nu \sigma \kappa \lambda }{R}_{\rho \mu }^{\nu \sigma }{R}^{\rho \mu \kappa \lambda }$ which agrees with the work of Bonora et al \cite{Bonora:2014qla}.

20 pages, 6 figures

References in corpus (2)

• Trace anomalies in chiral theories revisited
• On the trace anomaly of a Weyl fermion

Cited by in corpus (2)

• Trace Anomaly of Weyl Fermions via the Path Integral
• Trace anomaly of Weyl fermions in the Breitenlohner--Maison scheme for ${\gamma }_{\ast }$