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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/20958

Title: A rigorous geometric derivation of the chiral anomaly in curved backgrounds
Authors: Baer, Christian
Strohmaier, Alexander
Issue Date: 2016
Publisher: © Springer Verlag (Germany)
Citation: 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.
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.
Description: The final publication is available at Springer via http://dx.doi.org/10.1007/s00220-016-2664-1.
Version: Accepted for publication
DOI: 10.1007/s00220-016-2664-1
URI: https://dspace.lboro.ac.uk/2134/20958
Publisher Link: http://dx.doi.org/10.1007/s00220-016-2664-1
ISSN: 1432-0916
Appears in Collections:Published Articles (Maths)

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