Publication : t00/241
The Potts-random-matrix-model
Eynard B. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)Abstract:Année de publication : 2000
The Potts-$q$ model on a random surface can be represented by a random matrix model. It was found recently that the equations of motions can be written in a closed form: a functional equation for the resolvent and the free energy. This equation can be solved exactly and analytically (provided some analyticity assumptions) for any value of $q$. In particular, for the ``rational models'' such that $\sqrt{q} = 2\cos{{s\over r}\pi}$, the resolvent satisfies an algebraic equation of degree $r-1$, (this generalizes the previously known cases of $q=1, 2, 3$ for the Potts-$q$ model on a random lattice). However, the solution holds for any $q$, and could be extended to $q>4$...
Communication invitée : Workshop on Integrable Models in Condensed Matter and Non-Equilibrium Physics. Modčles intégrables, matičre condensée et phénomčnes loin de l'équilibre ; Université de Montréal, Montréal, Canada ; 2000-05-14 / 2000-06-11
Langue : Anglais
Editeurs : Di Francesco P., LeClair A., Saleur H.
