Abelian Magnetic Monopoles and Topologically Massive Vector Bosons in Scalar-Tensor Gravity with Torsion Potential

TL;DR

This paper develops a Lagrangian framework for electromagnetic interactions involving magnetic monopoles and massive photons in curved spacetime with torsion, revealing inconsistencies in classical nonrelativistic monopole-photon interactions.

Contribution

It introduces a covariant formulation of electromagnetic interactions with magnetic monopoles and massive vector bosons in a torsion-inclusive curved spacetime, addressing their coexistence.

Findings

Classical nonrelativistic monopole-photon interaction is inconsistent.

Topologically massive photons can coexist with magnetic monopoles in curved spacetime.

The framework incorporates non-minimal coupling and torsion potential effects.

Abstract

A Lagrangian formulation describing the electromagnetic interaction - mediated by topologically massive vector bosons - between charged, spin-(1/2) fermions with an abelian magnetic monopole in a curved spacetime with non-minimal coupling and torsion potential is presented. The covariant field equations are obtained. The issue of coexistence of massive photons and magnetic monopoles is addressed in the present framework. It is found that despite the topological nature of photon mass generation in curved spacetime with isotropic dilaton field, the classical field theory describing the nonrelativistic electromagnetic interaction between a point-like electric charge and magnetic monopole is inconsistent.