Grand-Canonical Ensemble of Random Surfaces with Four Species of Ising Spins

Abstract

The grand-canonical ensemble of dynamically triangulated surfaces coupled to four species of Ising spins (c=2) is simulated on a computer. The effective string susceptibility exponent for lattices with up to 1000 vertices is found to be γ = - 0.195(58). A specific scenario for c > 1 models is conjectured.

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