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Multiple Potts Models Coupled to Two-Dimensional Quantum Gravity

C. F. Baillie, D. A. Johnston

hep-latarXiv:hep-lat/9204003

Abstract

We perform Monte Carlo simulations using the Wolff cluster algorithm of multiple q=2,3,4 state Potts models on dynamical phi-cubed graphs of spherical topology in order to investigate the c>1 region of two-dimensional quantum gravity. Contrary to naive expectation we find no obvious signs of pathological behaviour for c>1. We discuss the results in the light of suggestions that have been made for a modified DDK ansatz for c>1.

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