论文标题
从树到重力
From Trees to Gravity
论文作者
论文摘要
在本文中，我们研究了量子几何形状的两个相关模型：通用随机树和二维因果三角剖分。计算了这些模型中出现的Hausdorff和光谱维度，并探索了它们与基础随机几何形状的结构的关系。还简要讨论了由于与物质领域的相互作用而进行的修改。对该主题的方法是经典统计力学的方法，大多数工具都来自概率和图理论。
In this article we study two related models of quantum geometry: generic random trees and two-dimensional causal triangulations. The Hausdorff and spectral dimensions that arise in these models are calculated and their relationship with the structure of the underlying random geometry is explored. Modifications due to interactions with matter fields are also briefly discussed. The approach to the subject is that of classical statistical mechanics and most of the tools come from probability and graph theory.
