English

The trace anomaly for a chiral fermion

High Energy Physics - Theory 2023-04-14 v1

Abstract

In this paper, we study the problem of trace anomaly for a chiral fermion. To find whether there exists a parity-odd term (Pontryagin term), we use a modified Breitenlohner-Maison-'t Hooft-Veltman regularization and Fujikawa's method by a new Dirac mass term to calculate the trace anomaly for a Weyl fermion coupled to an abelian gauge field and a gravity separately. We show once again that the trace anomaly of energy-momentum tensor for a chiral fermion has Pontryagin term.

Keywords

Cite

@article{arxiv.2304.06507,
  title  = {The trace anomaly for a chiral fermion},
  author = {Chang-Yong Liu},
  journal= {arXiv preprint arXiv:2304.06507},
  year   = {2023}
}

Comments

21 pages, 2 figures

R2 v1 2026-06-28T10:04:31.343Z