论文标题
3D CDT在较高空间属上的相结构和有效作用
The phase structure and effective action of 3D CDT at higher spatial genus
论文作者
论文摘要
我们使用计算机模拟对（2+1）维因果动力学三角剖分（CDT）量子重力的相结构和半经典有效作用进行了详细研究。一方面，我们通过以受控的方式放松简单的歧管条件来研究扩大三角剖分的效果。另一方面，我们首先对CDT几何形状进行了第一眼，并具有空间拓扑以外的空间拓扑。我们测量了几个三角剖分集合和空间拓扑的模型的相结构，发现了证据表明该相结构在质量上不受这些概括的影响。此外，我们确定了系统空间体积的有效作用，再次改变了简单的歧管条件和空间拓扑。在我们能够收集足够统计数据的所有情况下，我们都发现所产生的有效作用与来自Continuum Einstein Gravity得出的微型珀斯空间作用一致。我们将整体结果解释为证据，表明1）部分放松的简单流形条件或更改空间属不会影响3D CDT的连续限量，而2）增加系统的空间属可能不会影响紧急有效动作中的领先术语。
We perform a detailed investigation of the phase structure and the semiclassical effective action of (2+1)-dimensional Causal Dynamical Triangulations (CDT) quantum gravity using computer simulations. On the one hand, we study the effect of enlarging the ensemble of triangulations by relaxing the simplicial manifold conditions in a controlled way. On the other hand, we cast a first look at CDT geometries with spatial topology beyond that of the sphere or torus. We measure the phase structure of the model for several triangulation ensembles and spatial topologies, finding evidence that the phase structure is qualitatively unaffected by these generalizations. Furthermore, we determine the effective action for the spatial volumes of the system, again varying the simplicial manifold conditions and the spatial topology. In all cases where we were able to gather sufficient statistics, we found the resulting effective action to be consistent with a minisuperspace action derived from continuum Einstein gravity. We interpret our overall results as evidence that 1) partially relaxing simplicial manifold conditions or changing the spatial genus does not affect the continuum limit of 3D CDT and that 2) increasing the spatial genus of the system likely does not influence the leading-order terms in the emergent effective action.
