拓扑有质量U（1）$\times$ U（1）理论中的约束涡
Confined Vortices in Topologically Massive U(1)$\times$U(1) Theory
摘要：
本文报道了U（1）$\times$ U（1）Maxwell-Chern-Simons理论中一个新的拓扑涡旋解.涡流的存在是设想通过分析手段，并通过整合的运动方程得到一个数值解。这些涡旋具有长程力，因为其中一个U（1）在红外线中保持不间断，这由科尔曼-希尔定理保护。一个涡旋系综的缠绕数之和必须为零;否则系统将具有一个几何发散的能量。反过来，这些旋涡表现出经典的限制。我们研究了解的丰富的参数空间，并证明了Abrikosov-Nielsen-Olesen，U（1）Maxwell-Chern-Simons，U（1）纯Chern-Simons和整体涡作为各种极限情况。与这些极限情况不同的是，我们的涡旋的高缠绕解在破缺U（1）下携带非整数电荷。这是第一个表现出这种行为的涡解。
英文摘要：
We report on a new topological vortex solution in U(1)$\times$U(1) Maxwell-Chern-Simons theory. The existence of the vortex is envisaged by analytical means, and a numerical solution is obtained by integrating the equations of motion. These vortices have a long-range force because one of the U(1)s remains unbroken in the infrared, which is guarded by the Coleman-Hill theorem. The sum of the winding numbers of an ensemble of vortices has to vanish; otherwise the system would have a logarithmically divergent energy. In turn, these vortices exhibit classical confinement. We investigate the rich parameter space of the solutions, and show that one recovers the Abrikosov-Nielsen-Olesen, U(1) Maxwell-Chern-Simons, U(1) pure Chern-Simons and global vortices as various limiting cases. Unlike these limiting cases, the higher winding solutions of our vortices carry non-integer charges under the broken U(1). This is the first vortex solution exhibiting such behavior.
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