CERN Accelerating science

Article
Report number	hep-th/9402131 ; CERN-TH-7177-94 ; CERN-TH-7177-94
Title	Dynamically triangulated Ising spins in flat space
Author(s)	Vekic, Marco (UC, Irvine) ; Liu, Shao (UC, Irvine) ; Hamber, Herbert W. (CERN)
Affiliation	(Univ. Calif. Irvine) ; (CERN)
Publication	1994
Imprint	Feb 1994
Number of pages	14
In:	Phys. Lett. B 329 (1994) 444-449
DOI	10.1016/0370-2693(94)91088-X
Subject category	General Theoretical Physics
Abstract	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.
Copyright/License	Copyright @ unknown. Published by Elsevier B.V.

Corresponding record in: Inspire