Gauge Formulation for Two Potential Theory of Dyons

TL;DR

This paper develops a dual symmetric, gauge invariant two-potential formulation of electromagnetic fields for dyons, based on U(1)×U(1) gauge symmetry, providing a consistent theoretical framework.

Contribution

It introduces a manifestly covariant, dual symmetric, and gauge invariant two-potential theory for dyons derived from U(1)×U(1) gauge symmetry, extending dual electrodynamics.

Findings

Derived field equations and equations of motion for dyons.

Established a consistent Lagrangian formulation for the two-potential theory.

Revisited dual electrodynamics with a focus on gauge invariance and symmetry.

Abstract

Dual electrodynamics and corresponding Maxwell's equations (in the presence of monopole only) are revisited from the symmetry of duality and gauge invariance. Accordingly, the manifestly covariant, dual symmetric and gauge invariant two potential theory of generalized electromagnetic fields of dyons has been developed consistently from U(1)\times U(1) gauge symmetry. Corresponding field equations and equation of motion are derived from Lagrangian formulation adopted for U(1)\times U(1) gauge symmetry for the justification of two four potentials of dyons.