We consider a Dirac fermion in a metric-axial-tensor (MAT) background. By regulating it with Pauli–Villars fields we analyze and compute its full anomaly structure. Appropriate limits of the MAT background allows to recover the anomalies of Dirac and Weyl fermions in the usual curved spacetime, obtaining in particular the trace anomaly of a chiral fermion, which has been the object of recent analyses.
Bastianelli F., Broccoli M. (2020). Axial gravity and anomalies of fermions. THE EUROPEAN PHYSICAL JOURNAL. C, PARTICLES AND FIELDS, 80(3), 1-8 [10.1140/epjc/s10052-020-7782-4].
Axial gravity and anomalies of fermions
Bastianelli F.
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2020
Abstract
We consider a Dirac fermion in a metric-axial-tensor (MAT) background. By regulating it with Pauli–Villars fields we analyze and compute its full anomaly structure. Appropriate limits of the MAT background allows to recover the anomalies of Dirac and Weyl fermions in the usual curved spacetime, obtaining in particular the trace anomaly of a chiral fermion, which has been the object of recent analyses.File in questo prodotto:
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