标题： 随机渗流作为规范理论 显示英文标题

标题： Random percolation as a gauge theory

摘要： 三维晶格上的键渗流或位渗流理论可以被诠释为一种规范理论，在这种理论中，威尔逊圈被视为计数随机团簇拓扑缠绕的工具。 超过渗流阈值后，大威尔逊圈以面积律衰减，并显示出由于通量管量子涨落引起的普遍形状效应，就像在普通禁闭规范理论中一样。 威尔逊圈关联函数定义了一组非平凡的物理态谱，其质量和自旋不断增加，类似于普通规范理论中的胶球。 当某个周期性方向长度降到临界阈值以下时，渗流团簇的崩塌解释了有限温度下的脱禁闭现象，该现象属于二维渗流普适类。 显示英文摘要

摘要： Three-dimensional bond or site percolation theory on a lattice can be interpreted as a gauge theory in which the Wilson loops are viewed as counters of topological linking with random clusters. Beyond the percolation threshold large Wilson loops decay with an area law and show the universal shape effects due to flux tube quantum fluctuations like in ordinary confining gauge theories. Wilson loop correlators define a non-trivial spectrum of physical states of increasing mass and spin, like the glueballs of ordinary gauge theory. The crumbling of the percolating cluster when the length of one periodic direction decreases below a critical threshold accounts for the finite temperature deconfinement, which belongs to 2-D percolation universality class.