English

Axial gravity: a non-perturbative approach to split anomalies

High Energy Physics - Theory 2018-09-26 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1807.01249,
  title  = {Axial gravity: a non-perturbative approach to split anomalies},
  author = {L. Bonora and M. Cvitan and P. Dominis Prester and S. Giaccari and M. Paulisic and T. Stemberga},
  journal= {arXiv preprint arXiv:1807.01249},
  year   = {2018}
}

Comments

43 pages, some additions in section 6.3 and 6.5 plus minor corrections

R2 v1 2026-06-23T02:49:39.475Z