The critical behaviour of Ising spins on 2D Regge lattices

Details The critical behaviour of Ising spins on 2D Regge lattices The critical behaviour of Ising spins on 2D Regge lattices

1994-06-27

arxiv.org/abs/hep-lat/9406020v1

Phys.Lett. B335 (1994) 143-150

Physics

High Energy Physics

High Energy Physics - Lattice

15 pages with 3 figures in form of an uudecoded compressed tar-ps-file. FUB-HEP 06/94

Scientific paper

10.1016/0370-2693(94)91405-2

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.

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