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Axial gravity: a non-perturbative approach to split anomalies

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arxiv 1807.01249 v2 pith:CLZT7LSN submitted 2018-07-03 hep-th

L. Bonora , M. Cvitan , P. Dominis Prester , S. Giaccari , M. Paulisic , T. Stemberga This is my paper · ORCID
classification hep-th
keywords anomaliestracecoupledgravitylimitparitytheoryalready
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In a theory of a Dirac fermion field coupled to a metric-axial-tensor (MAT) background, using a Schwinger-DeWitt heat kernel technique, we compute non-perturbatively the two (odd parity) trace anomalies. A suitable collapsing limit of this model corresponds to a theory of chiral fermions coupled to (ordinary) gravity. Taking this limit on the two computed trace anomalies we verify that they tend to the same expression, which coincides with the already found odd parity trace anomaly, with the identical coefficient. This confirms our previous results on this issue.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Quantum anomalies from three-point on-shell bootstrap

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    On-shell three-point bootstrap recovers Weyl, chiral, diffeomorphism and Lorentz anomalies up to constant prefactors and reproduces gauge-anomaly cancellation while excluding Pontryagin densities from the Weyl anomaly.

  2. Weyl fermions in a non-abelian gauge background and trace anomalies

    hep-th 2019-08 accept novelty 6.0 of 10

    The trace anomaly of four-dimensional Weyl fermions in a non-abelian gauge background is (1/48 pi^2) tr F^2 with no parity-odd Chern-Pontryagin contribution, derived via Pauli-Villars regularization.

  3. A fermion primer

    hep-th 2026-08 reject novelty 3.0 of 10

    A review claiming Weyl fermions have no propagator and that the standard Dirac-propagator substitution is logically flawed, with a Bardeen spectator-field method proposed as the correct alternative.

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