On the axial anomaly in Very Special Relativity
arXiv:2012.14431 · doi:10.1103/PhysRevD.103.075011
Abstract
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.
arXiv commentlatex, 13 pages
References in corpus (19)
- Very Special Relativity
- General Very Special Relativity is Finsler Geometry
- Bare and Induced Lorentz and CPT Invariance Violations in QED
- Very special relativity as relativity of dark matter: the Elko connection
- A Realization of the Cohen-Glashow Very Special Relativity
- A Lorentz-Violating Origin of Neutrino Mass?
- SIM(2)-invariant Modifications of Electrodynamic Theory
- Cosmological model with local symmetry of very special relativity and constraints on it from supernovae
- Electroweak standard model with very special relativity
- Non Abelian Fields in Very Special Relativity
- Sim(2) and SUSY
- Gauge theory and SIM(2) superspace
- Very Special Relativity in Curved Space-Times
- On the photon mass in Very Special Relativity
- Noncommutative Spacetime in Very Special Relativity
- A invariant dimensional regularization
- Mandelstam-Leibbrandt prescription
- Schwinger Model à la Very Special Relativity
- Adler-Bell-Jackiw anomaly in VSR electrodynamics