论文标题
在连续的介质中自我双重紧凑的测量婴儿天空
Self-dual compact gauged baby skyrmions in a continuous medium
论文作者
论文摘要
我们研究了用$ z_2 $ - 对称的限制测量的婴儿天际模型中的自偶式配置的存在,它引入了真实的标量字段。为了这样一个目的,我们实施了Bogomol'Nyi程序,该过程为能量和各个自我双重方程提供了较低的限制,其解决方案使解决方案饱和。为了解决自偶联方程,我们专门专门针对一类称为Compacton的拓扑结构。在两个不同的情况下,我们获得了相应的数值解决方案,每个方案由标量场定义,使我们能够描述不同的磁介质。最后,我们分析当浸入每种培养基中时,紧凑型轮廓如何变化。
We investigate the existence of self-dual configurations in the restricted gauged baby Skyrme model enlarged with a $Z_2$--symmetry, which introduces a real scalar field. For such a purpose, we implement the Bogomol'nyi procedure that provides a lower bound for the energy and the respective self-dual equations whose solutions saturate such a bound. Aiming to solve the self-dual equations, we specifically focused on a class of topological structures called compacton. We obtain the corresponding numerical solutions within two distinct scenarios, each defined by a scalar field, allowing us to describe different magnetic media. Finally, we analyze how the compacton profiles change when immersed in each medium.