Universality of random matrices in the microscopic limit and the Dirac operator spectrum
High Energy Physics - Theory
2011-03-31 v2 Condensed Matter
Abstract
We prove the universality of correlation functions of chiral unitary and unitary ensembles of random matrices in the microscopic limit. The essence of the proof consists in reducing the three-term recursion relation for the relevant orthogonal polynomials into a Bessel equation governing the local asymptotics around the origin. The possible physical interpretation as the universality of soft spectrum of the Dirac operator is briefly discussed.
Keywords
Cite
@article{arxiv.hep-th/9609174,
title = {Universality of random matrices in the microscopic limit and the Dirac operator spectrum},
author = {G. Akemann and P. H. Damgaard and U. Magnea and S. Nishigaki},
journal= {arXiv preprint arXiv:hep-th/9609174},
year = {2011}
}
Comments
18 pages, LaTeX. One reference added