Magnetic Moment Generation from non-minimal couplings in a scenario with Lorentz-Symmetry Violation

TL;DR

This paper explores how Lorentz symmetry violation can induce magnetic moments in neutral particles through non-minimal couplings, using relativistic quantum mechanics to analyze the non-relativistic limit.

Contribution

It introduces a framework to relate Lorentz symmetry breaking parameters to magnetic moment generation in neutral particles, providing a novel perspective on potential signals of Lorentz violation.

Findings

Lorentz violation can generate magnetic moments in neutral particles.

The magnetic moments depend on non-minimal coupling parameters.

Tiny magnetic moments may indicate underlying Lorentz symmetry breaking.

Abstract

This paper deals with situations that illustrate how the violation of Lorentz symmetry in the gauge sector may contribute to magnetic moment generation of massive neutral particles with spin-1/2 and spin-1. The procedure we adopt here is based on Relativistic Quantum Mechanics. We work out the non-relativistic regime that follows from the wave equation corresponding to a certain particle coupled to an external electromagnetic field and a background that accounts for the Lorentz symmetry violation, and we read thereby the magnetic dipole moment operator for the particle under consideration.We keep track of the parameters that govern the non-minimal electromagnetic coupling and the breaking of Lorentz symmetry in the expressions we get for the magnetic moments in the different cases we contemplate. Our claim is that the tiny magnetic dipole moment of truly elementary neutral particles might signal Lorentz symmetry violation.