https://doi.org/10.1140/epjc/s10052-018-6141-1
Regular Article - Theoretical Physics
Axial gravity: a non-perturbative approach to split anomalies
1
International School for Advanced Studies (SISSA), Via Bonomea 265, 34136, Trieste, Italy
2
INFN, Sezione di Trieste, Trieste, Italy
3
Department of Physics, Faculty of Science, University of Zagreb, Bijenička cesta 32, 10000, Zagreb, Croatia
4
Department of Physics, University of Rijeka, Radmile Matejčić 2, 51000, Rijeka, Croatia
5
Department of Sciences, Holon Institute of Technology (HIT), 52 Golomb St., 5810201, Holon, Israel
* e-mail: bonora@sissa.it
Received:
11
July
2018
Accepted:
6
August
2018
Published online:
17
August
2018
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.
© The Author(s), 2018
