Magnetic monopoles in Lorentz-violating electrodynamics

TL;DR

This paper explores the coexistence of magnetic monopoles with Lorentz-violating electrodynamics across three models, revealing conditions for magnetic source induction and discussing duality symmetry and quantization.

Contribution

It analyzes three Lorentz-violating models to identify how magnetic monopoles can be incorporated and under what conditions, highlighting the role of electric currents in the Myers-Pospelov model.

Findings

Magnetic sources can be induced with an accompanying electric current in Myers-Pospelov electrodynamics.

Duality symmetry and Dirac quantization are examined within these models.

The models demonstrate different behaviors regarding magnetic monopoles and Lorentz violation.

Abstract

We investigate the possibility of coexistence between Dirac-like monopoles and Lorentz-violating electrodynamics. For this purpose, we study three distinct models: Myers-Pospelov, Ellis et al. and Gambini-Pullin. In particular, we find that in the Myers-Pospelov electrodynamics, magnetic sources may be properly induced when it is accompanied by the appearance of an extra electric current. The symmetry under duality transformations and the Dirac quantization condition in the aforementioned theories is also discussed.