标题： 重整化群分析耦合到因果动态三角化中的伊辛模型 显示英文标题

标题： A Renormalization Group Analysis of the Ising Model Coupled to Causal Dynamical Triangulations

摘要： 我们从泛函重正化群方程（FRGE）的角度分析了描述与因果动态三角化（CDT）耦合的伊辛模型的矩阵模型。该模型是一个双重加权矩阵模型，其费曼图与具有优先时间叶层的二维几何离散三角剖分相对应。特别是，我们找到了β函数方程的不动点，表明每种情况下相关方向的数量与固定点处CFT的物理解释相容。除了恢复拓扑引力和具有宇宙常数的纯引力的不动点外，我们还发现了一个具有三个相关方向的新不动点，这与伊辛CFT中的主要场数量相符。 显示英文摘要

摘要： We analyze the matrix model characterizing the Ising model coupled to Causal Dynamical Triangulations (CDT) from the point of view of the Functional Renormalization Group Equation (FRGE). This model is a dually weighted matrix model, whose Feynman diagrams are in correspondence with discrete triangulations of two-dimensional geometries with a preferred time foliation. In particular, we find the fixed points of the beta-function equations, showing that the number of relevant directions in each case is compatible with the physical interpretation of the CFT at the fixed point. In addition to recovering the fixed points for topological gravity and pure gravity with a cosmological constant, we find a new fixed point featuring three relevant directions which matches the number of primary fields in the Ising CFT.