Proof of the Lagrangean formalism of Hermitean 1-matrix models to all orders

Abstract

We show that the correlation functions and the free energy of the formal Hermitean 1-matrix model can be described by the recently proposed Lagrangean formalism to all orders. In addition, the loop equation of this formalism is stated and solved up to the fifth order in 1 / N^2 explicitly.

30 pages, 7 figures

References in corpus (2)

• Free energy topological expansion for the 2-matrix model
• A Lagrangean formalism for Hermitean matrix models