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  On the trace anomaly of a Weyl fermion in a gauge background

Bastianelli, F., & Broccoli, M. (2019). On the trace anomaly of a Weyl fermion in a gauge background. The European Physical Journal C, 79(4): 292. doi:10.1140/epjc/s10052-019-6799-z.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0001-FA3A-5 Version Permalink: http://hdl.handle.net/21.11116/0000-0003-67FD-D
Genre: Journal Article

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 Creators:
Bastianelli, Fiorenzo1, Author
Broccoli, Matteo2, Author              
Affiliations:
1MPI for Gravitational Physics, Max Planck Society, Am Mühlenberg 1, 14476 Golm, DE, ou_24007              
2Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: We study the trace anomaly of a Weyl fermion in an abelian gauge background. Although the presence of the chiral anomaly implies a breakdown of gauge invariance, we find that the trace anomaly can be cast in a gauge invariant form. In particular, we find that it does not contain any odd-parity contribution proportional to the Chern-Pontryagin density. The latter would be allowed by the consistency conditions. We perform our calculations using Pauli-Villars regularization and heat kernel methods. The issue is analogous to the one recently discussed in the literature about a conjectured contribution of an odd-parity term to the trace anomaly of a Weyl fermion in curved backgrounds.

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 Dates: 2018-08-102019
 Publication Status: Published in print
 Pages: 26 pages
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 Rev. Method: -
 Identifiers: arXiv: 1808.03489
URI: http://arxiv.org/abs/1808.03489
DOI: 10.1140/epjc/s10052-019-6799-z
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Title: The European Physical Journal C
Source Genre: Journal
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Pages: - Volume / Issue: 79 (4) Sequence Number: 292 Start / End Page: - Identifier: -