Dynamically Triangulated Ising Spins in Flat Space

Details Dynamically Triangulated Ising Spins in Flat Space Dynamically Triangulated Ising Spins in Flat Space

1994-02-23

arxiv.org/abs/hep-th/9402131v1

Phys.Lett. B329 (1994) 444-449

Physics

High Energy Physics

High Energy Physics - Theory

(10 pages + 4 figures), CERN-Th-7577/94

Scientific paper

10.1016/0370-2693(94)91088-X

A model describing Ising spins with short range interactions moving randomly in a plane is considered. In the presence of a hard core repulsion, which prevents the Ising spins from overlapping, the model is analogous to a dynamically triangulated Ising model with spins constrained to move on a flat surface. It is found that as a function of coupling strength and hard core repulsion the model exhibits multicritical behavior, with first and second order transition lines terminating at a tricritical point. The thermal and magnetic exponents computed at the tricritical point are consistent with the exact two-matrix model solution of the random Ising model, introduced previously to describe the effects of fluctuating geometries.

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