与类二聚体物质偶联的CDT的解析分析
An Analytical Analysis of CDT Coupled to Dimer-like Matter
摘要：
我们考虑一个模型的限制二聚体耦合到二维因果动力学三角（CDT），其中二聚体的配置是限制在这个意义上说，他们不包括二聚体的高曲率区域。它示出了如何使用双射与装饰树可以解析地解决该模型。在二聚体逸度的一个负的临界值，该模型经历了一个相变，在该临界指数与几何形状的变化。这是第一个帐户的分析研究的问题模型与二维相互作用耦合到CDT。
英文摘要：
We consider a model of restricted dimers coupled to two-dimensional causal dynamical triangulations (CDT), where the dimer configurations are restricted in the sense that they do not include dimers in regions of high curvature. It is shown how the model can be solved analytically using bijections with decorated trees. At a negative critical value for the dimer fugacity the model undergoes a phase transition at which the critical exponent associated to the geometry changes. This represents the first account of an analytical study of a matter model with two-dimensional interactions coupled to CDT.
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