Massive Electrodynamics and Magnetic Monopoles

TL;DR

This paper develops a gauge covariant massive electrodynamics within a geometric framework that includes torsion, allowing coexistence of massive photons, electric, and magnetic monopoles, and recovers Maxwell's theory under specific conditions.

Contribution

It introduces a new geometric approach incorporating torsion to formulate a massive electrodynamics with magnetic monopoles, extending traditional Maxwell theory.

Findings

Massive photons coexist with magnetic monopoles in the theory.

The theory reduces to Maxwell's electrodynamics when photon mass is zero and torsion is absent.

A gauge covariant action integral is constructed within the Weyl-Dirac framework.

Abstract

Including torsion in the geometric framework of the Weyl-Dirac theory we build up an action integral, and obtain from it a gauge covariant (in the Weyl sense) general relativistic massive electrodynamics. Photons having an arbitrary mass, electric, and magnetic currents (Dirac's monopole) coexist within this theory. Assuming that the space-time is torsionless, taking the photons mass zero, and turning to the Einstein gauge we obtain Maxwell's electrodynamics.