Locally covariant chiral fermions and anomalies

Abstract

We define chiral fermions in the presence of non-trivial gravitational and gauge background fields in the framework of locally covariant field theory. This allows to straightforwardly compute the chiral anomalies on non-compact Lorentzian space-times, without recourse to a weak field approximation.

arXiv comment19 pages

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Cited by in corpus (10)

• A rigorous geometric derivation of the chiral anomaly in curved backgrounds
• The current density in quantum electrodynamics in external potentials
• Green's functions and Hadamard parametrices for vector and tensor fields in general linear covariant gauges
• Background independence in gauge theories
• The current density in quantum electrodynamics in time-dependent external potentials and the Schwinger effect
• Global anomalies on Lorentzian space-times
• Local Index Theory for Lorentzian Manifolds
• An index theorem on asymptotically static spacetimes with compact Cauchy surface
• Locally covariant quantum field theory and the spin-statistics connection
• Background independence and the Adler-Bardeen theorem