TY  - JOUR
A1  - Bär, Christian
A1  - Strohmaier, Alexander
T1  - A Rigorous Geometric Derivation of the Chiral Anomaly in Curved Backgrounds
JF  - Communications in mathematical physics
N2  - We discuss the chiral anomaly for a Weyl field in a curved background and show that a novel index theorem for the Lorentzian Dirac operator can be applied to describe the gravitational chiral anomaly. A formula for the total charge generated by the gravitational and gauge field background is derived directly in Lorentzian signature and in a mathematically rigorous manner. It contains a term identical to the integrand in the Atiyah-Singer index theorem and another term involving the.-invariant of the Cauchy hypersurfaces.
Y1  - 2016
U6  - https://doi.org/10.1007/s00220-016-2664-1
SN  - 0010-3616
SN  - 1432-0916
VL  - 347
SP  - 703
EP  - 721
PB  - Springer
CY  - New York
ER  -