Universality of random matrices in the microscopic limit and the Dirac operator spectrum
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 threeterm 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 the soft spectrum of the Dirac operator is briefly discussed.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1997
 DOI:
 10.1016/S05503213(96)007134
 arXiv:
 arXiv:hepth/9609174
 Bibcode:
 1997NuPhB.487..721A
 Keywords:

 High Energy Physics  Theory;
 Condensed Matter
 EPrint:
 18 pages, LaTeX. One reference added