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arXiv · hep-th/9407166

Random Ising Spins in Two Dimensions - A Flat Space Realization of the KPZ Exponents

Marco Vekic·Shao Liu·Herbert W. Hamber
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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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Marco Vekic, Shao Liu, Herbert W. Hamber. 1994-07-27. Random Ising Spins in Two Dimensions - A Flat Space Realization of the KPZ Exponents. https://doi.org/10.1103/physrevd.51.4287

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