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# Loughborough University Institutional Repository

 Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/20036

 Title: A rigorous geometric derivation of the chiral anomaly in curved backgrounds Authors: Baer, ChristianStrohmaier, Alexander Issue Date: 2015 Publisher: arXiv.org Citation: BAER, C. and STROHMAIER, A., 2015. A rigorous geometric derivation of the chiral anomaly in curved backgrounds. arXiv:1508.05345v1 [math-ph], 15pp. 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 in a mathematically rigorous manner. It contains a term identical to the integrand in the Atiyah-Singer index theorem and another term involving the $\eta$-invariant of the Cauchy hypersurfaces. Description: This is a preprint submitted to arXiv on 21 August 2015 Version: Submitted for publication URI: https://dspace.lboro.ac.uk/2134/20036 Publisher Link: http://arxiv.org/abs/1508.05345 Appears in Collections: Pre-prints (Maths)

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