Schwinger Model à la Very Special Relativity
arXiv:1907.06273 · doi:10.1016/j.physletb.2019.134923
Abstract
In this work, we show that Lorentz invariant theories in dimensions admit new terms inspired by Very Special Relativity (VSR) theories. We have studied the Schwinger model in VSR. We show the axial current is classically conserved in the presence of a mass term coming from the VSR invariant terms but without standard Lorentz invariant mass. Furthermore, it is shown that both the vector current as well as the axial current are modified with respect to the free case when the fermion is coupled to an external electromagnetic field due to the nonlocal operator present in the theory. The axial anomaly is computed, and we found the same standard topological invariant with a modification in the coefficient.
10 pages, 2 figures. V2: Minor changes, references updated, accepted in PLB
References in corpus (11)
- Very Special Relativity
- The General Very Special Relativity in Finsler Cosmology
- TASI 2003 Lectures on Anomalies
- A Lorentz-Violating Origin of Neutrino Mass?
- SIM(2)-invariant Modifications of Electrodynamic Theory
- Electroweak standard model with very special relativity
- Very Special Relativity in Curved Space-Times
- On the photon mass in Very Special Relativity
- Quantum Gauge Freedom in Very Special Relativity
- A invariant dimensional regularization
- Very special relativity as particle in a gauge field and two-time physics
Cited by in corpus (9)
- Lorentz Violation in Finsler Geometry
- On the axial anomaly in Very Special Relativity
- Renormalization of Very Special Relativity gauge theories
- Induced Maxwell-Chern-Simons Effective Action in Very Special Relativity
- Induced non-Abelian Chern-Simons effective action in very special relativity
- Adler-Bell-Jackiw anomaly in VSR electrodynamics
- Infrared Regularization of Very Special Relativity Models
- Path integral analysis of the axial anomaly in Very Special Relativity
- Meson spectrum in revisited