Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-07-25
Phys.Rev. D51 (1995) 4287-4294
Physics
High Energy Physics
High Energy Physics - Theory
RevTeX 3.0, 17 pages + 15 postscript figures available upon request, CERN-TH-7355/94
Scientific paper
10.1103/PhysRevD.51.4287
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. 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 KPZ values associated with Ising spins, and with the exact two-matrix model solution of the random Ising model, introduced previously to describe the effects of fluctuating geometries.
Hamber Herbert W.
Liu Shao
Vekic Marco
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