An Analytical Analysis of CDT Coupled to Dimer-like Matter

Details An Analytical Analysis of CDT Coupled to Dimer-like Matter An Analytical Analysis of CDT Coupled to Dimer-like Matter

2012-02-20

arxiv.org/abs/1202.4322v1

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

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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