A modified dyon solution in a non-Abelian gauge model

TL;DR

This paper introduces a modified dyon solution in a non-Abelian gauge model, analyzing its properties and differences from the classical Julia-Zee dyon through analytical and numerical methods.

Contribution

It presents a new modified dyon solution in a non-Abelian gauge model, expanding understanding of dyon properties beyond the classical solutions.

Findings

Modified dyons have higher energy and electric charge than Julia-Zee dyons.

Energy and charge of the modified dyons are bounded for all parameters.

Differences are significant except in the BPS case.

Abstract

A modified $SU(2)$ Georgi-Glashow model is considered here, and it is shown that besides the well-known Julia-Zee dyon solution, the model can also have a modified dyon solution. The properties of the modified dyon solution are studied using analytical and numerical methods. A comparative analysis of the modified dyon and the Julia-Zee dyon shows that their properties are significantly different. In particular, except for the BPS case, the energy and electric charge of the modified dyons exceed considerably those of the Julia-Zee dyons. At the same time, the energy and electric charge of the modified dyon are bounded for all admissible parameter values, whereas those of the Julia-Zee dyon can be arbitrarily large in the BPS case.