Lorentz violation in a family of $(1+2)$-dimensional wormhole
Abstract
We study neutral Dirac particles confined to a family of -dimensional wormholes arising from surfaces of revolution with a constant negative Gaussian curvature, in the framework of a comprehensive effective field theory allowing deviations from Lorentz symmetry: the gravitational standard-model extension (SME). The Dirac particles are described with a fixed background tensor field that rules the Lorentz symmetry violation in the CPT-even gauge sector of SME. We implement this geometrical approach by incorporating non-minimal couplings that possibly induce a Lorentz-symmetry violating term in the modified Dirac equation. We also analyze the exact analytical solutions of the corresponding modified Dirac equation in the presence of a peculiar external magnetic field.
Keywords
Cite
@article{arxiv.2209.05630,
title = {Lorentz violation in a family of $(1+2)$-dimensional wormhole},
author = {Soroush Zare and Marc de Montigny and Hao Chen and Hassan Hassanabadi},
journal= {arXiv preprint arXiv:2209.05630},
year = {2023}
}