Investigation of Pontryagin trace anomaly using Pauli-Villars regularization

Investigation of Pontryagin trace anomaly using Pauli-Villars regularization

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 tr...

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Bibliographic Details
Published in:Nuclear physics. B Vol. 980; p. 115840
Main Author: Liu, Chang-Yong
Format: Journal Article
Language:English
Published: Elsevier B.V 01-07-2022
Elsevier
Online Access:Get full text
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Summary: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=i1536π2ϵνσκλRρμνσRρμκλ which agrees with the work of Bonora et al. [1].
ISSN:0550-3213
1873-1562
DOI:10.1016/j.nuclphysb.2022.115840