A restricted dimer model on a 2-dimensional random causal triangulation
High Energy Physics - Theory
2015-06-19 v2 Mathematical Physics
Combinatorics
math.MP
Abstract
We introduce a restricted hard dimer model on a random causal triangulation that is exactly solvable and generalizes a model recently proposed by Atkin and Zohren. We show that the latter model exhibits unusual behaviour at its multicritical point; in particular, its Hausdorff dimension equals 3 and not 3/2 as would be expected from general scaling arguments. When viewed as a special case of the generalized model introduced here we show that this behaviour is not generic and therefore is not likely to represent the true behaviour of the full dimer model on a random causal triangulation.
Cite
@article{arxiv.1405.6782,
title = {A restricted dimer model on a 2-dimensional random causal triangulation},
author = {J. Ambjorn and B. Durhuus and J. F. Wheater},
journal= {arXiv preprint arXiv:1405.6782},
year = {2015}
}
Comments
26 pages, typos corrected, slight generalization added