A restricted dimer model on a twodimensional random causal triangulation
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 (2012 Phys. Lett. B 712 44550). 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.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 September 2014
 DOI:
 10.1088/17518113/47/36/365001
 arXiv:
 arXiv:1405.6782
 Bibcode:
 2014JPhA...47J5001A
 Keywords:

 High Energy Physics  Theory;
 Mathematical Physics;
 Mathematics  Combinatorics
 EPrint:
 26 pages, typos corrected, slight generalization added