%0 Journal Article
%T The critical behaviour of Ising spins on 2D Regge lattices
%A C. Holm
%A W. Janke
%J Physics
%D 1994
%I arXiv
%R 10.1016/0370-2693(94)91405-2
%X We performed a high statistics simulation of Ising spins coupled to 2D quantum gravity on toroidal geometries. The tori were triangulated using the Regge calculus approach and contained up to $512^2$ vertices. We used a constant area ensemble with an added $R^2$ interaction term, employing the $dl/l$ measure. We find clear evidence that the critical exponents of the Ising phase transition are consistent with the static critical exponents and do not depend on the coupling strength of the $R^2$ interaction term. We definitively can exclude for this type of model a behaviour as predicted by Boulatov and Kazakov [Phys. Lett. {\bf B186}, 379 (1987)] for Ising spins coupled to dynamically triangulated surfaces.
%U http://arxiv.org/abs/hep-lat/9406020v1