The cylinder amplitude in the Hard Dimer model on 2D Causal Dynamical Triangulations
arXiv:2109.04414 · doi:10.1088/1361-6382/ac50ec
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.
29 pages, 13 figures Revised version with slightly extended Discussion section, extra reference, and typos corrected
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