Q-states Potts model on a random planar lattice

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, 1 PostScript figure, with epsf

Scientific paper

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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