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arXiv · 2202.10813

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

S. Abdallah·S. A Franchino-Viñas·M. B. Fröb
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Abstract

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.

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S. Abdallah, S. A Franchino-Viñas, M. B. Fröb. 2022-02-22. Trace anomaly of Weyl fermions in the Breitenlohner--Maison scheme for $\gamma_*$. https://doi.org/10.22323/1.398.0723

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