Axial gravity and anomalies of fermions

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.

arXiv comment13 pages

References in corpus (12)

• Heat kernel expansion: user's manual
• Geometric Classification of Conformal Anomalies in Arbitrary Dimensions
• Trace anomalies in chiral theories revisited
• Correlation Functions of Conserved Currents in Four Dimensional Conformal Field Theory
• CP-violating CFT and trace anomaly
• Axial gravity, massless fermions and trace anomalies
• On the trace anomaly of a Weyl fermion
• On the realization of impossible anomalies
• On the trace anomaly of a Weyl fermion in a gauge background
• Axial gravity: a non-perturbative approach to split anomalies
• Trace anomaly for chiral fermions via Hadamard subtraction
• Weyl fermions in a non-abelian gauge background and trace anomalies

Cited by in corpus (11)

• Weyl Anomalies of Four Dimensional Conformal Boundaries and Defects
• Trace Anomaly of Weyl Fermions via the Path Integral
• Trace anomaly for Weyl fermions using the Breitenlohner-Maison scheme for ${\gamma }_{\ast }$
• Universal definition of the non-conformal trace anomaly
• CP-violating super Weyl anomaly
• Six-dimensional one-loop divergences in quantum gravity from the $\mathcal{N}=4$ spinning particle
• Gauge-invariant coefficients in perturbative quantum gravity
• Chiral fermions, dimensional regularization, and the trace anomaly
• CP-violating supersymmetry anomaly
• Path integral calculation of heat kernel traces with first order operator insertions
• Trace anomaly of Weyl fermions in the Breitenlohner--Maison scheme for ${\gamma }_{\ast }$