论文标题
具有增强对称性的模型中的广义Maxwell-Higgs涡流
Generalized Maxwell-Higgs vortices in models with enhanced symmetry
论文作者
论文摘要
研究了平面三维时空的相对论规程中的拓扑涡度。我们考虑对称$ \ rm {u（1）} \ times ... \ times \ rm {u（1）} $，对于每个$ \ rm {u（1）} $ subgroup，在其操作下引入了一个复杂的标量字段，并引入了该子系统的通用份子，并通过该子系统介绍了子系统。我们详细研究了这类广义的Maxwell-Higgs模型中静态，有限能量解决方案的特征，并研究了每个子系统磁性特性中绕组数的影响。为大型模型引入了BPS绑定和相关的一阶方程。最后，我们提出了一些特定的模型，并求解它们的运动方程，以找到相互关系和标准尼尔森 - 瓦特克斯（Nielsen-Oersen Vortex）相关的许多不同特征的解决方案。
Topological vortices in relativistic gauge theories in flat three-dimensional spacetime are investigated. We consider the symmetry $\rm{U(1)}\times...\times \rm{U(1)}$, and for each $\rm{U(1)}$ subgroup, a complex scalar field transforming under its action is introduced, as well as generalized permeabilities through which the subsystems are coupled. We investigate in detail the features of static, finite energy solutions within this class of generalized Maxwell-Higgs models, and study the effect of the winding numbers in the magnetic properties of each subsystem. A BPS bound and the related first order equations are introduced for a large class of models. Finally, we present some specific models and solve their equations of motion to find solutions engendering many distinct features in relation to each other and to the standard Nielsen-Olesen vortex.
