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A rigorous geometric derivation of the chiral anomaly in curved backgrounds
journal contribution
posted on 2016-04-19, 09:52 authored by Christian Baer, Alexander StrohmaierWe 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 η-invariant of the Cauchy hypersurfaces.
History
School
- Science
Department
- Mathematical Sciences
Published in
Communications in Mathematical PhysicsVolume
347Issue
3Pages
703 - 721Citation
BAER, C. and STROHMAIER, A., 2016. A rigorous geometric derivation of the chiral anomaly in curved backgrounds. Communications in Mathematical Physics, 347 (3), pp. 703-721.Publisher
© Springer Verlag (Germany)Version
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Acceptance date
2016-03-30Publication date
2016-05-27Notes
The final publication is available at Springer via http://dx.doi.org/10.1007/s00220-016-2664-1.ISSN
0010-3616eISSN
1432-0916Publisher version
Language
- en