论文标题
拓扑诱导晶格量子重力的一阶相变
Topology induced first-order phase transitions in lattice quantum gravity
论文作者
论文摘要
因果动力学三角剖分（CDT）是量子重力的晶格公式，适用于用于研究模型相图的蒙特卡洛模拟。它具有四个阶段，其特征是不同的主要几何形状，表示相位$ a $，$ b $，$ c $和$ c_b $。在本文中，我们分析了$ a-b $和$ b-c $ {phase}的过渡，如果太空的拓扑是三道的。这为这种空间拓扑结构完成了CDT的相图。我们观察到，时空几何形状的相过渡的顺序取决于时空的拓扑。
Causal Dynamical Triangulations (CDT) is a lattice formulation of quantum gravity, suitable for Monte-Carlo simulations which have been used to study the phase diagram of the model. It has four phases characterized by different dominant geometries, denoted phase $A$, $B$, $C$ and $C_b$. In this article we analyse the $A-B$ and the $B-C$ {phase} transitions in the case where the topology of space is that of the three-torus. This completes the phase diagram of CDT for such a spatial topology. We observe that the order of a phase transition of spacetime geometries can depend on the topology of spacetime.
