English

Matrix eigenvalue model: Feynman graph technique for all genera

Mathematical Physics 2010-02-03 v1 High Energy Physics - Theory math.MP

Abstract

We present the diagrammatic technique for calculating the free energy of the matrix eigenvalue model (the model with arbitrary power β\beta by the Vandermonde determinant) to all orders of 1/N expansion in the case where the limiting eigenvalue distribution spans arbitrary (but fixed) number of disjoint intervals (curves).

Keywords

Cite

@article{arxiv.math-ph/0604014,
  title  = {Matrix eigenvalue model: Feynman graph technique for all genera},
  author = {Leonid Chekhov and Bertrand Eynard},
  journal= {arXiv preprint arXiv:math-ph/0604014},
  year   = {2010}
}

Comments

Latex, 27 pages