The Existence of Dyon Solutions for Generalized Weinberg-Salam Model

TL;DR

This paper proves the existence and analyzes the properties of dyon solutions in a generalized electroweak model, extending previous results with new mathematical methods and a broader framework.

Contribution

It establishes the existence, asymptotic behavior, and qualitative properties of dyon solutions in the generalized Weinberg-Salam model using novel mathematical techniques.

Findings

Existence of radially symmetric dyon solutions proven.

Asymptotic behaviors at infinity characterized.

Qualitative properties of solutions analyzed.

Abstract

The generalized Weinberg-Salam model which is presented in a recent study of Kimm, Yoon and Cho, is arising in electroweak theory. In this paper, we prove the existence and asymptotic behaviors at infinity of static and radially symmetric dyon solutions to the boundary-value problem of this model. Moreover, as a by product, the qualitative properties of dyon solutions are also obtained. The methods used here are the extremum principle, the Schauder fixed point theory and the shooting approach depending on one shooting parameter. We provide an effective framework for constructing the dyon solutions in general dimensions and develop the existing results.