Electromagnetism with Magnetic Charge and Two Photons

TL;DR

This paper proposes a symmetric formulation of electromagnetism with electric and magnetic charges by introducing a second potential, eliminating singularities and non-local variables present in traditional approaches.

Contribution

It introduces a second pseudo four-vector potential to reformulate electromagnetism with magnetic charge, avoiding Dirac strings and enhancing symmetry.

Findings

Eliminates singular Dirac strings in magnetic charge theory

Provides a more symmetric gauge treatment of electric and magnetic charges

Simplifies the theoretical framework of electromagnetism with magnetic monopoles

Abstract

The Dirac approach to include magnetic charge in Maxwell's equations places the magnetic charge at the end of a string on which the the fields of the theory develop a singularity. In this paper an alternative formulation of classical electromagnetism with magnetic and electric charge is given by introducing a second pseudo four-vector potential, C_mu, in addition to the usual four- vector potential, A_mu. This avoids the use of singular, non-local variables (i.e. Dirac strings) in electrodynamics with magnetic charge, and it makes the treatment of electric and magentic charge more symmetric, since both charges are now gauge charges.