We investigate the trace anomaly of a chiral fermion in dimensional regularization, considering in detail the simplest case of coupling to an abelian gauge field. We apply the Breitenlohner-Maison/’t Hooft- Veltman prescription for dealing with the chiral matrix γ5 and verify that no parity-odd term arises in the trace anomaly. The issue treated here is analogous to that of a chiral fermion in curved spacetime, discussed in recent literature. The advantage of having a simplified background minimizes the amount of algebraic calculations and allows pinpointing better the subtle points carried by dimensional regularization.

Chiral fermions, dimensional regularization, and the trace anomaly

Fiorenzo Bastianelli;Luca Chiese
2022

Abstract

We investigate the trace anomaly of a chiral fermion in dimensional regularization, considering in detail the simplest case of coupling to an abelian gauge field. We apply the Breitenlohner-Maison/’t Hooft- Veltman prescription for dealing with the chiral matrix γ5 and verify that no parity-odd term arises in the trace anomaly. The issue treated here is analogous to that of a chiral fermion in curved spacetime, discussed in recent literature. The advantage of having a simplified background minimizes the amount of algebraic calculations and allows pinpointing better the subtle points carried by dimensional regularization.
Fiorenzo Bastianelli; Luca Chiese
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/894361
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