A restricted dimer model on a two-dimensional random causal triangulation

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

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 712 445–50). 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.
OriginalsprogEngelsk
Artikelnummer365001
TidsskriftJournal of Physics A: Mathematical and Theoretical
Vol/bind47
ISSN1751-8113
DOI
StatusUdgivet - 2014

ID: 130369989