A Rigorous Geometric Derivation of the Chiral Anomaly in Curved Backgrounds
- 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.
| Author details: | Christian BärORCiDGND, Alexander Strohmaier |
|---|---|
| DOI: | https://doi.org/10.1007/s00220-016-2664-1 |
| ISSN: | 0010-3616 |
| ISSN: | 1432-0916 |
| Title of parent work (English): | Communications in mathematical physics |
| Publisher: | Springer |
| Place of publishing: | New York |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2016 |
| Publication year: | 2016 |
| Release date: | 2020/03/22 |
| Volume: | 347 |
| Number of pages: | 19 |
| First page: | 703 |
| Last Page: | 721 |
| Funding institution: | Deutsche Forschungsgemeinschaft [Sonderforschungshereich 647]; ESI |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Peer review: | Referiert |
