A Lagrangean formalism for Hermitean matrix models Original Research Article

Eynardʹs formulation of Hermitean 1-matrix models in terms of intrinsic quantities of an associated hyperelliptic Riemann surface is rephrased as a Lagrangean field theory of a scalar particle propagating on the hyperelliptic surface with multiple self-interactions and particle–source interactions. Both types of interaction take place at the branch points of the hyperelliptic surface.