标题： 通量管形成和中心涡旋及链的Weingarten表示 显示英文标题

标题： Flux tube formation and the Weingarten representation of center vortices and chains

摘要： 我们回顾了一些关于基于表面求和的Weingarten表示法的定向和非定向中心涡旋混合系综的最新结果。 该框架使得一个用于涡旋世界面的阿贝尔投影系综的分区函数得以定义，该系综之前被表述为在中心涡旋环上尖锐的波函数。 特别是，我们展示了如何使一个阿贝尔系综能够解释$N$-ality，同时支持一个“对偶超导体”模型来解释禁闭。 这种表述也澄清了具有非阿贝尔自由度的渗透表面的戈德斯通模的描述，这些表面在原始机制中用于由于渗透的混合系综形成禁闭通量管。 显示英文摘要

摘要： We review some recent results regarding the formulation of mixed ensembles of oriented and nonoriented center vortices based on the Weingarten representation for the sum over surfaces. This framework enabled a partition function for the Abelian-projected ensemble of vortex worldsurfaces, previously formulated as a wavefunctional peaked at center-vortex loops. In particular, we showed how an Abelian ensemble can account for $N$-ality while supporting a ``dual superconductor'' model for confinement. This formulation also clarified the description of the Goldstone modes for percolating surfaces with non-Abelian degrees of freedom, used in the original mechanism for the formation of a confining flux tube due to the percolating mixed ensemble.