English

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

High Energy Physics - Theory 2022-06-28 v2 General Relativity and Quantum Cosmology High Energy Physics - Lattice

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.

Keywords

Cite

@article{arxiv.2109.04414,
  title  = {The cylinder amplitude in the Hard Dimer model on 2D Causal Dynamical Triangulations},
  author = {John F. Wheater and P. D. Xavier},
  journal= {arXiv preprint arXiv:2109.04414},
  year   = {2022}
}

Comments

29 pages, 13 figures Revised version with slightly extended Discussion section, extra reference, and typos corrected