标题： 平面偶素覆盖的Pfaffian相关函数 显示英文标题

标题： Pfaffian Correlation Functions of Planar Dimer Covers

摘要： 二聚体覆盖平面图模型中边界单体关联函数的Pfaffian结构通过组合/拓扑论证重新推导得出。 这些函数随后被扩展为一个更大的有序-无序关联函数族，这些函数被证明在整个体内表现出Pfaffian结构。 关键工具涉及通过双二聚体模型的环气体表示识别出的组合交换对称性，以及平面性的拓扑含义。 显示英文摘要

摘要： The Pfaffian structure of the boundary monomer correlation functions in the dimer-covering planar graph models is rederived through a combinatorial / topological argument. These functions are then extended into a larger family of order-disorder correlation functions which are shown to exhibit Pfaffian structure throughout the bulk. Key tools involve combinatorial switching symmetries which are identified through the loop-gas representation of the double dimer model, and topological implications of planarity.