CDT中的树和空间拓扑变化
Trees and spatial topology change in CDT
摘要：
广义因果动力学三角剖分（广义CDT）是一个二维量子引力模型，其中允许有限数量的空间拓扑变化。我们解决了模型在离散化水平使用四边形和树之间的双射。在连续极限（标度极限）的振幅与已知的公式和明确的表达式得到的环路传播子和两点函数。它表明，从组合的角度来看，广义CDT可以被看作是有限数量的面的平面地图的缩放限制，我们确定的距离函数在这个合奏的平面地图。最后，与平面映射的关系是用来照亮一个神秘的身份，某些连续柱振幅。
英文摘要：
Generalized causal dynamical triangulations (generalized CDT) is a model of two-dimensional quantum gravity in which a limited number of spatial topology changes is allowed to occur. We solve the model at the discretized level using bijections between quadrangulations and trees. In the continuum limit (scaling limit) the amplitudes are shown to agree with known formulas and explicit expressions are obtained for loop propagators and two-point functions. It is shown that from a combinatorial point of view generalized CDT can be viewed as the scaling limit of planar maps with a finite number of faces and we determine the distance function on this ensemble of planar maps. Finally, the relation with planar maps is used to illuminate a mysterious identity of certain continuum cylinder amplitudes.
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