标题： 域壁与阿贝尔规范场的稳定性 显示英文标题

标题： Stability of domain walls coupled to Abelian gauge fields

摘要： Rozowsky、Volkas 和 Wali 最近找到了一个规范 U1xU1 标量场模型的场方程的有趣数值解。 他们的解描述了一个反射对称的域壁，其中标量场和耦合的规范配置在域壁的一侧介于恒定磁场之间，在另一侧则呈指数衰减。 这在物理上对应于一个无限的超电流片，该超电流被限制在域壁上，一侧具有线性上升的规范势，另一侧则出现梅斯纳抑制。 虽然已经证明这些静态解满足场方程，但它们的稳定性问题仍未解决。 在本文中，我们分析静态解的扰动正常模式，以证明它们的微扰稳定性。 显示英文摘要

摘要： Rozowsky, Volkas and Wali recently found interesting numerical solutions to the field equations for a gauged U1xU1 scalar field model. Their solutions describe a reflection-symmetric domain wall with scalar fields and coupled gauge configurations that interpolate between constant magnetic fields on one side of the wall and exponentially decaying ones on the other side. This corresponds physically to an infinite sheet of supercurrent confined to the domain wall with a linearly rising gauge potential on one side and Meissner suppression on the other. While it was shown that these static solutions satisfied the field equations, their stability was left unresolved. In this paper, we analyse the normal modes of perturbations of the static solutions to demonstrate their perturbative stability.