Existence of Julia-Zee dyon and 't Hooft-Polyakov monopole with new field strength tensor
Mathematical Physics
2024-01-18 v2 math.MP
Abstract
In this paper, we use a modified Abelian field strength tensor in Georgi-Glashow model and obtain a new Julia-Zee dyon equations which degenerated into the 't Hooft-Polyakov monopole equations when the profile function J=0. Combining a three-step iterative shooting argument and a fixed-point theorem approach, we establish the existence of the static solution of the Julia-Zee dyon equations and discuss its qualitative properties. In addition, we show that the total magnetic charge is a constant related to the gauge coupling constant and the total electric charge depend continuously on the profile functions.
Keywords
Cite
@article{arxiv.2401.08084,
title = {Existence of Julia-Zee dyon and 't Hooft-Polyakov monopole with new field strength tensor},
author = {Lei Cao and Yilu Xu},
journal= {arXiv preprint arXiv:2401.08084},
year = {2024}
}