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The trace anomaly for a chiral fermion

2023/03/13 by Chang-Yong Liu, Liu, Chang-Yong
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2304.06507

openalex publication_date 2023/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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