Topological Dyons

Abstract

Using a two potential approach, dyon solutions have been found in the temporal and non-temporal gauges for a non-Abelian theory. Both the charges, electric and magnetic, of the temporal dyon solution are topological, while for the non-temporal case both charges are partially topological.Comment: 11 page

Electromagnetic Interaction in the Presence of Isotopic Field-Charges and a Kinetic Field

“…By the dyon model, Schwinger predicted a particle with the properties of the J/ψ meson, years before it was discovered in 1974. A sign of the actuality of the topic is a renaissance of the discussion of dyons in the literature of non-Abelian theories [33] and [5]. The latter refers to octonion elecrodynamics, what is widely used in the literature, and what we reduced to quaternions in [8].…”

Dyonic String-Like Solution in a Non-Abelian Gauge Theory with Two Potentials

“…Similary the magnetic field given by B i = G it + F it [10] has the components hence, are dyonic. Both electric and magnetic field are cylindrically symmetric and have a 1/ρ dependence.…”

“…The components of the electric field of this solution set (eqs. (3.1)-(3.3)) are now evaluated as E i = F it − G it [10], which leads to…”

“…In the present paper, we employ a set of ansatz for the gauge and scalar fields [11] to seek new classical solutions for the above mentioned non-Abelian gauge theory model wih two potentials [10] that possess axial symmetry. We have found a solution set that exists for arbitrary values of the coupling constant (η) and represents an infinitely long straight string carrying uniform (both) electric and magnetic charge densities.…”

“…The two potential approach has also been employed by Singleton [9] for a singularity free symmetric formulation of electrodynamics with magnetic charge. Recently, Singh and Tripathi [10] have extended the Singleton's formulation for a non-Abelian two potential model to derive dyonic solutions with charges (both electric and magnetic) of topological origin.…”