A Lagrangean formalism for Hermitean matrix models
arXiv:0805.3078 · doi:10.1016/j.nuclphysb.2008.10.008
Abstract
Eynard's 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.
25 pages, 7 figures