On 't Hooft-Polyakov Monopole, Julia-Zee Dyon, and Higgs Field, throughout the Generalized Bogomoln'yi Equations

TL;DR

This paper generalizes the Bogomoln'yi equations within SU(2) Yang-Mills-Higgs theory, leading to new non-abelian monopoles and dyons, with scalar fields resembling Coulomb potential and gauge fields akin to Wu-Yang monopoles.

Contribution

It introduces a straightforward generalization of Bogomoln'yi equations that produces novel non-abelian monopoles and dyons, expanding the solution space of the theory.

Findings

New non-abelian monopoles and dyons identified

Scalar field described by Coulomb potential

Gauge field reduces to Wu-Yang monopole

Abstract

In this paper, making use of the 't Hooft-Polyakov-Julia-Zee ansatz for the SU(2) Yang-Mills-Higgs gauge field theory, we present the straightforward generalization of the Bogomoln'yi equations and its several consequences. Particularly, this is shown that this idea is able to generate new types of non-abelian both dyons and magnetic monopoles and, moreover, that within the new model the scalar field can be described through the Coulomb potential, whereas, up to a constant, the non-abelian gauge field becomes the Wu-Yang monopole.