论文标题
电荷局部结构
Electrically charged localized structures
论文作者
论文摘要
这项工作涉及在浸入由中性标量磁场控制的介质中的电荷存在下的Abelian量规场,该电荷通过广义介电函数与量规场相互作用。我们开发了一个有趣的程序来求解运动方程,该方程基于能量的最小化,这使我们进入了一阶框架,其中一阶微分方程的最小能量解决方案求解了运动方程。我们在两个和三个空间维度中研究了两个不同的模型,并用一些当前感兴趣的例子说明了总体结果,这是一种简单的方法来解决解决方案的分析解决方案,从而引发内部结构。
This work deals with an Abelian gauge field in the presence of an electric charge immersed in a medium controlled by neutral scalar fields, which interact with the gauge field through a generalized dielectric function. We develop an interesting procedure to solve the equations of motion, which is based on the minimization of the energy, leading us to a first order framework where minimum energy solutions of first order differential equations solve the equations of motion. We investigate two distinct models in two and three spatial dimensions and illustrate the general results with some examples of current interest, implementing a simple way to solve the problem with analytical solutions that engender internal structure.