Proof of universality of the Bessel kernel for chiral matrix models in the microscopic limit
High Energy Physics - Theory
2009-10-30 v2 Condensed Matter
Abstract
We prove the universality of correlation functions of chiral complex matrix models in the microscopic limit (N->\infty, z->0, N z=fixed) which magnifies the crossover region around the origin of the eigenvalue distribution. The proof exploits the fact that the three-term difference equation for orthogonal polynomials reduces into a universal second-order differential (Bessel) equation in the microscopic limit.
Keywords
Cite
@article{arxiv.hep-th/9606099,
title = {Proof of universality of the Bessel kernel for chiral matrix models in the microscopic limit},
author = {S. Nishigaki},
journal= {arXiv preprint arXiv:hep-th/9606099},
year = {2009}
}
Comments
8 pages, no figures, LaTeX + elsart.sty, elsart12.sty. A typo corrected