Solution of Potts-3 and Potts-\infty Matrix Models with the Equations of Motion Method

Abstract

In this letter, we show how one can solve easily the Potts-3 + branching interactions and Potts-\infty matrix models, by the means of the equations of motion (loop equations). We give an algebraic equation for the resolvents of these models, and their scaling behaviour. This shows that the equations of motion can be a useful tool for solving such models.

8 pages, submitted to Physics Letters B

References in corpus (1)

• Renormalization group approach to multiple-arc random matrix models

Cited by in corpus (6)

• Rotational Symmetry Breaking in Multi-Matrix Models
• Planar maps and random partitions
• Yang-Lee Zeros of the Two- and Three-State Potts Model Defined on ${\varphi }^3$ Feynman Diagrams
• Boundary States of the Potts Model on Random Planar Maps
• Random Matrices, Boundaries and Branes
• Sums of Random Matrices and the Potts Model on Random Planar Maps