Generalized Half-Dyon in Weinberg-Salam Theory

TL;DR

This paper constructs and analyzes numerical solutions for generalized electrically charged half-monopoles in Weinberg-Salam theory, exploring their properties and singularities.

Contribution

It introduces new types of half-dyon solutions in Weinberg-Salam theory and studies their physical characteristics and singular behavior.

Findings

Solutions have magnetic charge proportional to integer n

Electric charge depends on a parameter eta

Energy of solutions is infinite due to singularity

Abstract

We construct and study numerical solutions corresponding to generalized electrically charged half-monopole in Weinberg-Salam theory, denoted as Type I and Type II solutions. These solutions possess magnetic charge $q_m = +2 n \pi/e$ ($-2 n \pi/e$) and electric charge $q_{e}$ that depends on the electric charge parameter $\eta$, as well as net zero neutral charge. Other properties of this half-dyon configurations such as magnetic dipole moment and angular moment are studied. The energy of this half-dyon configuration is infinite due to singularity at the location of the half-dyon.