标题： 最简单的 Regge 几何模型中的路径积分 显示英文标题

标题： Path integral in the simplest Regge calculus model

摘要： 考虑最简单的(3+1)D Regge微积分模型（三维离散空间和连续时间），该模型描述了在连续时间中简单闭合的两个四面体的分片平坦流形的演化。 路径积分中的测度被找到，该测度以面积双矢量和连接作为独立变量，描述了该模型的规范量子化。 显示变量的自对偶-反自对偶分解虽然不能完全分离(反)自对偶部分，但简化了积分。 显示英文摘要

摘要： The simplest (3+1)D Regge calculus model (with three-dimensional discrete space and continuous time) is considered which describes evolution of the simplest closed two-tetrahedron piecewise flat manifold in the continuous time. The measure in the path integral which describes canonical quantisation of the model in terms of area bivectors and connections as independent variables is found. It is shown that selfdual-antiselfdual splitting of the variables simplifies the integral although does not admit complete separation of (anti-)selfdual sector.