Bär, C and Strohmaier, A orcid.org/0000-0002-8446-3840 (2016) A Rigorous Geometric Derivation of the Chiral Anomaly in Curved Backgrounds. Communications in Mathematical Physics, 347 (3). pp. 703-721. ISSN 0010-3616
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 η -invariant of the Cauchy hypersurfaces.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | (c) 2016, Springer Verlag. This is an author produced version of a paper published in Communications in Mathematical Physics. Uploaded in accordance with the publisher's self-archiving policy. The final publication is available at Springer via https://doi.org/10.1007/s00220-016-2664-1 |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 22 Feb 2017 11:49 |
Last Modified: | 30 Jun 2017 22:23 |
Published Version: | https://doi.org/10.1007/s00220-016-2664-1 |
Status: | Published |
Publisher: | Springer Verlag |
Identification Number: | 10.1007/s00220-016-2664-1 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:111649 |