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Article
Report number	hep-th/9407166 ; CERN-TH-7355-94 ; CERN-TH-7355-94
Title	Random Ising spins in two dimensions : a flat space realization of the KPZ exponents
Related title	Knizhnik-Polyakov-Zamolodchikov
Author(s)	Vekic, Marco (Santa Barbara, KITP) ; Liu, Shao (UC, Irvine) ; Hamber, Herbert W. (CERN)
Affiliation	(Univ. Calif. Santa Barbara) ; (Univ. Calif. Irvine) ; (CERN)
Publication	1995
Imprint	25 Jul 1994
Number of pages	32
In:	Phys. Rev. D 51 (1995) 4287-4294
DOI	10.1103/PhysRevD.51.4287
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. 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.

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