English

All genus correlation functions for the hermitian 1-matrix model

High Energy Physics - Theory 2008-11-26 v1

Abstract

We rewrite the loop equations of the hermitian matrix model, in a way which allows to compute all the correlation functions, to all orders in the topological 1/N21/N^2 expansion, as residues on an hyperelliptical curve. Those residues, can be represented diagrammaticaly as Feynmann graphs of a cubic interaction field theory on the curve.

Keywords

Cite

@article{arxiv.hep-th/0407261,
  title  = {All genus correlation functions for the hermitian 1-matrix model},
  author = {B. Eynard},
  journal= {arXiv preprint arXiv:hep-th/0407261},
  year   = {2008}
}

Comments

latex, 19 figures

R2 v1 2026-07-22T15:24:53.723Z