Trace anomaly of Weyl fermions in the Breitenlohner--Maison scheme for $γ_*$

Fuente: arXiv
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Autores principales: Abdallah, S., Franchino-Viñas, S. A, Fröb, M. B.
Formato: Preprint
Publicado: 2022
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author Abdallah, S.
Franchino-Viñas, S. A
Fröb, M. B.
author_facet Abdallah, S.
Franchino-Viñas, S. A
Fröb, M. B.
contents We revisit the conformal anomaly for a Weyl fermion in four dimensions that has generated some debate recently. We employ a perturbative expansion for the metric around Minkowski space, dimensional regularization and a Breitenlohner--Maison prescription for the chiral $γ$ matrix. We obtain a vanishing odd-parity contribution for Weyl fermions in four dimensions, while the even-parity contribution is exactly half the one for a Dirac fermion.
format Preprint
id arxiv_https___arxiv_org_abs_2202_10813
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Trace anomaly of Weyl fermions in the Breitenlohner--Maison scheme for $γ_*$
Abdallah, S.
Franchino-Viñas, S. A
Fröb, M. B.
High Energy Physics - Theory
Mathematical Physics
We revisit the conformal anomaly for a Weyl fermion in four dimensions that has generated some debate recently. We employ a perturbative expansion for the metric around Minkowski space, dimensional regularization and a Breitenlohner--Maison prescription for the chiral $γ$ matrix. We obtain a vanishing odd-parity contribution for Weyl fermions in four dimensions, while the even-parity contribution is exactly half the one for a Dirac fermion.
title Trace anomaly of Weyl fermions in the Breitenlohner--Maison scheme for $γ_*$
topic High Energy Physics - Theory
Mathematical Physics
url https://arxiv.org/abs/2202.10813