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arXiv · 2109.04414

The cylinder amplitude in the Hard Dimer model on 2D Causal Dynamical Triangulations

John F. Wheater·P. D. Xavier
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Abstract

We consider the model of hard dimers coupled to two-dimensional Causal Dynamical Triangulations (CDT) with all dimer types present and solve it exactly subject to a single restriction. Depending on the dimer weights there are, in addition to the usual gravity phase of CDT, two tri-critical and two dense dimer phases. We establish the properties of these phases, computing their cylinder and disk amplitudes, and their scaling limits.

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John F. Wheater, P. D. Xavier. 2021-09-09. The cylinder amplitude in the Hard Dimer model on 2D Causal Dynamical Triangulations. https://doi.org/10.1088/1361-6382%2Fac50ec

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