标题： SU(2) 格点规范理论中细涡旋、厚涡旋与投影涡旋之间的连接关系 显示英文标题

标题： Connections between Thin,Thick and Projection Vortices in SU(2) Lattice Gauge Theory

摘要： 我们阐明$SO(3) \times Z(2)$与通常的 SU(2) 配置变量之间的联系。 通过选择特定的 SO(3) 表示，我们发现两个配置空间之间的直接联系。 然后，我们能够将 Kovacs-Tomboulis 的中心涡旋表述与同一配置上的投影涡旋表述进行比较。 选择不同的表示，并进入最大中心规范，我们证明了投影涡旋无需近似即可出现。 投影涡旋主导近似来自于在威尔逊环的精确表达式中省略一个因子。 显示英文摘要

摘要： We elucidate the connection between $SO(3) \times Z(2)$ and the usual SU(2) configuration variables. By exploiting the freedom of choosing a particular SO(3) representative we find a direct connection between the two configuration spaces. We are then able to compare the Kovacs-Tomboulis formulation of center vortices with the projection vortex formulation on the same configuration. Choosing a different representative, and going to the maximal center gauge, we show that projection vortices occur without approximation. The projection vortex dominance approximation results from dropping a factor in an exact expression for the Wilson loop.