{ "id": "hep-th/9609174", "version": "v2", "published": "1996-09-22T22:30:48.000Z", "updated": "1996-09-23T15:22:55.000Z", "title": "Universality of random matrices in the microscopic limit and the Dirac operator spectrum", "authors": [ "G. Akemann", "P. H. Damgaard", "U. Magnea", "S. Nishigaki" ], "comment": "18 pages, LaTeX. One reference added", "journal": "Nucl.Phys.B487:721-738,1997", "doi": "10.1016/S0550-3213(96)00713-4", "categories": [ "hep-th", "cond-mat" ], "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.", "revisions": [ { "version": "v2", "updated": "1996-09-23T15:22:55.000Z" } ], "analyses": { "subjects": [ "05.45.+b", "11.15.Pg", "11.30.Rd" ], "keywords": [ "dirac operator spectrum", "microscopic limit", "random matrices", "universality", "relevant orthogonal polynomials" ], "tags": [ "journal article" ], "publication": { "publisher": "Elsevier", "journal": "Nucl. Phys. B" }, "note": { "typesetting": "LaTeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "inspire": 423598 } } }