Weyl fermions in a non-abelian gauge background and trace anomalies

Bastianelli , Fiorenzo; Broccoli, Matteo

doi:10.1007/JHEP10(2019)241

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Weyl fermions in a non-abelian gauge background and trace anomalies

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Broccoli, Matteo
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1908.03750.pdf
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Bastianelli-Broccoli2019_Article_WeylFermionsInANon-abelianGaug.pdf
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Citation

Bastianelli, F., & Broccoli, M. (2019). Weyl fermions in a non-abelian gauge background and trace anomalies. Journal of High Energy Physics, 2019 (10): 241. doi:10.1007/JHEP10(2019)241.

Cite as: https://hdl.handle.net/21.11116/0000-0004-9007-1

Abstract

We study the trace and chiral anomalies of Weyl fermions in a non-abelian
gauge background in four dimensions. Using a Pauli-Villars regularization we
identify the trace anomaly, proving that it can be cast in a gauge invariant
form, even in the presence of the non-abelian chiral anomaly, that we rederive
to check the consistency of our methods. In particular, we find that the trace
anomaly does not contain any parity-odd topological contribution, whose
presence has been debated in the recent literature.