Existence of Julia-Zee dyon and 't Hooft-Polyakov monopole with new field strength tensor
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909075543949312 |
|---|---|
| author | Cao, Lei Xu, Yilu |
| author_facet | Cao, Lei Xu, Yilu |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_08084 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Existence of Julia-Zee dyon and 't Hooft-Polyakov monopole with new field strength tensor Cao, Lei Xu, Yilu Mathematical Physics 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. |
| title | Existence of Julia-Zee dyon and 't Hooft-Polyakov monopole with new field strength tensor |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2401.08084 |