arXiv subjects
Publications and source records attributed to Jean-Marc DAUL.
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.
We calculate various Wilson loop averages in a pure $SU(N)$-gauge theory on a two-dimensional sphere, in the large $N$ limit. The results can be expressed through the density of rows in the most probable Young tableau. They are valid in both phases (small and large areas of the sphere). All averages for self-intersecting loops can be reproduced from the average for a simple (non self-intersecting) loop by means of loop equations.