An alternative formulation of classical electromagnetic duality

TL;DR

This paper presents a new Lorentz covariant and SO(2) duality invariant classical electromagnetic theory using a doublet of vector potentials, eliminating the need for Dirac strings.

Contribution

It introduces a novel formulation of electromagnetic duality with a doublet of potentials, avoiding Dirac strings and maintaining Lorentz and SO(2) invariance.

Findings

Formulation is Lorentz covariant and SO(2) duality invariant.

Eliminates the need for Dirac strings in electromagnetic theory.

Provides a consistent classical field theory for electric and magnetic charges.

Abstract

By introducing a doublet of electromagnetic four dimensional vector potentials, we set up a manifestly Lorentz covariant and SO(2) duality invariant classical field theory of electric and magnetic charges. In our formulation one does not need to introduce the concept of Dirac string.