论文标题

广义Weinberg-Salam模型的Dyon解决方案的存在

The Existence of Dyon Solutions for Generalized Weinberg-Salam Model

论文作者

Chen, Shouxin, Xu, Yilu

论文摘要

在Electroweak理论中引起了最新的Kimm,Yoon和Cho的最新研究中提出的广义Weinberg-Salam模型。在本文中,我们证明了该模型的边界值问题的静态和径向对称性溶液的无穷大的存在和渐近行为。此外,作为产品,还获得了Dyon溶液的定性特性。此处使用的方法是极值原理,Schauder固定点理论和拍摄方法,具体取决于一个拍摄参数。我们提供了一个有效的框架,用于在一般维度上构建Dyon解决方案并开发现有结果。

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.

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