论文标题
BPS孤子具有内部结构的限制性婴儿天际 - 马克斯韦理论中的内部结构
BPS solitons with internal structures in a restricted baby Skyrme-Maxwell theory in a magnetic medium
论文作者
论文摘要
我们考虑通过包含非平凡的磁渗透性扩大的受限制的婴儿Skyrme-Maxwell场景。然后，我们通过Bogomol'nyi-Prasad-Sommerfield（BPS）处方的方式来最大程度地减少其总能量，从中我们可以从中获得自二势现在取决于磁渗透性本身。结果，我们不仅获得了能量的下限，而且还获得了解决方案饱和的自动划分方程。在这种情况下，我们将注意力集中在那些独立的radial对称性和无电荷的依赖时间的仪表上。我们在数值上求解有效的自偶方程，以实现磁渗透性的不同选择，从中，我们从中获得了BPS磁场，其内部结构形成同心环。我们还根据表征相应的磁渗透率的单个真实参数的值进行分析解释这些结构的形成。
We consider a restricted baby Skyrme-Maxwell scenario enlarged via the inclusion of a nontrivial magnetic permeability. We then proceed with the minimization of its total energy by means of the Bogomol'nyi-Prasad-Sommerfield (BPS) prescription, from which we get that the self-dual potential now depends on the magnetic permeability itself. As a result, we obtain not only the lower bound for the energy, but also the self-dual equations whose solutions saturate that bound. In such a context, we focus our attention on those time-independent gauged skyrmions with radial symmetry and no electric charge. We solve the effective self-dual equations numerically for different choices of the magnetic permeability, from which we obtain BPS magnetic fields whose internal structures form concentric rings. We also explain analytically the formation of these structures based on the values of a single real parameter which characterizes the respective magnetic permeabilities.
