Q-states Potts model on a random planar lattice

1995/02/02 by DAUL, Jean-Marc · 1 citation
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.hep-th/9502014

Abstract

We propose a matrix-model derivation of the scaling exponents of the critical and tricritical q-states Potts model coupled to gravity on a sphere. In close analogy with the O(n) model, we reduce the determination of the one-loop-to-vacuum expectation to the resolution of algebraic equations; and find the explicit scaling law for the case q=3.

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• The 3-state Potts model on planar triangulations: explicit algebraic solution

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