Infinite Energy Dyon Solutions

TL;DR

This paper introduces new dyon solutions in the SU(2) Yang-Mills-Higgs system by complexifying gauge fields or making parameters imaginary, resulting in physically real yet distinct solutions from the BPS dyons.

Contribution

It presents novel dyon solutions derived from BPS dyons through complex gauge fields and imaginary parameters, expanding the solution space of the system.

Findings

New mathematically simple dyon solutions with real physical quantities.

Solutions exhibit physically distinct characteristics from BPS dyons.

Method involves complexification and parameter transformation of known solutions.

Abstract

Three dyon solutions to the SU(2) Yang-Mills-Higgs system are presented. These solutions are obtained from the BPS dyon by allowing the gauge fields to be complex, or by letting the free parameter of the BPS solution become imaginary. In all cases however the physically measurable quantities connected with these new solutions are entirely real. Although the new solutions are mathematically simple variations of the BPS solution, they have one or more physically distinct characteristics.