论文标题

BPS Maxwell-Chern-Chern-Simons涡流带有内部结构:Abelian Higgs和Gauged $ CP(2)$案例

BPS Maxwell-Chern-Simons vortices with internal structures: the Abelian Higgs and the gauged $CP(2)$ cases

论文作者

Andrade, J., Casana, Rodolfo, da Hora, E.

论文摘要

我们研究了Maxwell-Chern-Simons-Higgs和Maxwell-Chern-Simons-$ cp(2)$模型通过包含一个额外的标量扇区扩展的一阶涡旋和Maxwell-Chern-Simons-$ cp(2)$ cp(2)$ cp(2)$ cp的存在。在这两种情况下,我们将注意力集中在径向对称性的时间无关的配置上,可以通过实现所谓的Bogomol'nyi-Prasad-Sommerfield(BPS)处方获得。从这个意义上讲,为了求解相应的一阶微分方程,我们介绍了一些特定方案,这些方案是由源场驱动的,我们期望的存在必须改变所产生的涡流行为的方式。通过有限差分算法求解有效的一阶系统后,我们对最终配置形状的源场的存在引起的主要新效果发表评论。

We investigate the existence of first-order vortices inherent to both the Maxwell-Chern-Simons-Higgs and the Maxwell-Chern-Simons-$CP(2)$ models extended via the inclusion of an extra scalar sector which plays the role of a source field. For both cases, we focus our attention on the time-independent configurations with radial symmetry which can be obtained through the implementation of the so-called Bogomol'nyi-Prasad-Sommerfield (BPS) prescription. In this sense, in order to solve the corresponding first-order differential equations, we introduce some particular scenarios which are driven by the source field whose presence, we expect, must change the way the resulting vortices behave. After solving the effective first-order system through a finite-difference algorithm, we comment about the main new effects induced by the presence of the source field in the shape of the final configurations.

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