Two Ising Models Coupled to 2-Dimensional Gravity

Details Two Ising Models Coupled to 2-Dimensional Gravity Two Ising Models Coupled to 2-Dimensional Gravity

1993-10-20

arxiv.org/abs/hep-th/9310136v2

Nucl.Phys. B419 (1994) 665-684; Erratum-ibid. B424 (1994) 690

Physics

High Energy Physics

High Energy Physics - Theory

revised version w/ typos corrected; standard latex w/ epsf and 9 figures

Scientific paper

10.1016/0550-3213(94)90350-6

To investigate the properties of $c=1$ matter coupled to $2$d{--}gravity we have performed large-scale simulations of two copies of the Ising Model on a dynamical lattice. We measure spin susceptibility and percolation critical exponents using finite-size scaling. We show explicitly how logarithmic corrections are needed for a proper comparison with theoretical exponents. We also exhibit correlations, mediated by gravity, between the energy and magnetic properties of the two Ising species. The prospects for extending this work beyond $c=1$ are addressed.

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