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. - In: NUCLEAR PHYSICS. B. - ISSN 0550-3213. - ELETTRONICO. - 983:(2022), pp. 115914.1-115914.27. [10.1016/j.nuclphysb.2022.115914]
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.File | Dimensione | Formato | |
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