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arXiv · 2401.08084

Existence of Julia-Zee dyon and 't Hooft-Polyakov monopole with new field strength tensor

Lei Cao·Yilu Xu
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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.

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Lei Cao, Yilu Xu. 2024-01-16. Existence of Julia-Zee dyon and 't Hooft-Polyakov monopole with new field strength tensor. https://arxiv.org/abs/2401.08084

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