SU(2)Calorons的涡旋结构
The Vortex Structure of SU(2) Calorons
摘要:
我们揭示了SU(2)热子及其系综的中心涡旋含量。本文用拉普拉斯中心规和最大中心规证明了单个卡隆中的旋涡由两部分组成。第一个连接的组成重子的重子(这是单极在拉普拉斯阿贝尔规范),并在时间上延伸。第二部分主要是空间的,包含一个双子,可以与在caloron规范场的扭曲。这部分强烈依赖于caloron holonomy和退化到一个平面时,holonomy是最大的非平凡的,即当渐近Polyakov循环是无迹的。相应地,我们发现在这种情况下,在caloron合奏的空间涡旋渗透。这一发现完全符合涡的约束情况,并表明calorons是适合于促进涡约束机制。
英文摘要:
We reveal the center vortex content of SU(2) calorons and ensembles of them. We use Laplacian Center Gauge as well as Maximal Center Gauges to show that the vortex in a single caloron consists of two parts. The first one connects the constituent dyons of the caloron (which are monopoles in Laplacian Abelian Gauge) and extends in time. The second part is predominantly spatial, encloses one of the dyons and can be related to the twist in the caloron gauge field. This part depends strongly on the caloron holonomy and degenerates to a plane when the holonomy is maximally nontrivial, i.e. when the asymptotic Polyakov loop is traceless. Correspondingly, we find the spatial vortices in caloron ensembles to percolate in this case. This finding fits perfectly in the confinement scenario of vortices and shows that calorons are suitable to facilitate the vortex confinement mechanism.
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