具有新场强张量的Julia-Zee双子与't Hooft-Polyakov磁单极子的存在性
Existence of Julia-Zee dyon and 't Hooft-Polyakov monopole with new field strength tensor
AI总结：
本文在Georgi-Glashow模型中引入修正阿贝尔场强张量，导出新的Julia-Zee双子方程，并运用三步迭代打靶法与不动点定理证明静态解的存在性，同时揭示总磁荷为常数、总电荷连续依赖于剖面函数。
摘要：
本文在Georgi-Glashow模型中使用修正的阿贝尔场强张量，得到新的Julia-Zee双子方程，当剖面函数J=0时该方程退化为't Hooft-Polyakov磁单极子方程。结合三步迭代打靶法和不动点定理方法，我们建立了Julia-Zee双子方程静态解的存在性，并讨论了其定性性质。此外，我们证明总磁荷是一个与规范耦合常数相关的常数，总电荷连续依赖于剖面函数。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
