Axial anomaly in very special relativity

Jorge Alfaro (Instituto de Física, Pontificia Universidad Católica de Chile, Avenida Vicuña Mackenna 4860, Santiago, Chile)

In this paper we study the axial anomaly in very special relativity electrodynamics using Pauli-Villars and dimensional regularization of ultraviolet divergences and Mandelstam-Leibbrandt regularization of infrared divergences. We compute the anomaly in 2 and 4 dimensional space-time. We find that this procedure preserves the vector Ward identity(charge conservation) and reproduce the standard axial anomaly in 2 and 4 dimensions without corrections from VSR. Finally, we show how to obtain the anomaly in the path integral approach.

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Published on:
12 April 2021
Publisher:
APS
Published in:
Physical Review D , Volume 103 (2021)
Issue 7
DOI:
https://doi.org/10.1103/PhysRevD.103.075011
arXiv:
2012.14431
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: