@article{BaerStrohmaier2016,
  author    = {B{\"a}r, Christian and Strohmaier, Alexander},
  title     = {A Rigorous Geometric Derivation of the Chiral Anomaly in Curved Backgrounds},
  series = {Communications in mathematical physics},
  volume    = {347},
  journal   = {Communications in mathematical physics},
  publisher = {Springer},
  address   = {New York},
  issn      = {0010-3616},
  doi       = {10.1007/s00220-016-2664-1},
  pages     = {703 -- 721},
  year      = {2016},
  abstract  = {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.},
  language  = {en}
}