PoS - Proceedings of Science
Volume 398 - The European Physical Society Conference on High Energy Physics (EPS-HEP2021) - T11: Quantum Field and String Theory
Trace anomaly of Weyl fermions in the Breitenlohner--Maison scheme for $\gamma_*$
S. Abdallah*, S.A. Franchino-Viñas and M.B. Fröb
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Pre-published on: February 17, 2022
Published on: May 12, 2022
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 $\gamma$ 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.
DOI: https://doi.org/10.22323/1.398.0723
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