CLUSTER SIMULATIONS OF THE ISING MODEL ON DYNAMICALLY TRIANGULATED LATTICE

R. Ben-Av, J. Kinar and S. Solomon
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R. Ben-Av: Physics Department, Weizmann Institute of Science, Rehovot, Israel
J. Kinar: Racah Institute of Physics, Hebrew University, Jerusalem, Israel
S. Solomon: Racah Institute of Physics, Hebrew University, Jerusalem, Israel

International Journal of Modern Physics C (IJMPC), 1992, vol. 03, issue 02, 279-295

Abstract: We have performed high precision finite size scaling measurements of the critical behavior of the Ising model on dynamically triangulated surfaces of genus 0.The results are in perfect agreement with the matrix model predictions.1,2Values of the critical exponents equal to the regular lattice 2D Ising model are excluded by our error bars.In order to accumulate sufficient statistics we used cluster methods which eliminated critical slowing down to a great extent.

Date: 1992
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DOI: 10.1142/S0129183192000233

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