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Title: Universality of random matrices in the microscopic limit and the Dirac operator spectrum
Authors: Akemann, G
Damgaard, PH
Magnea, U
Nishigaki, SM
Issue Date: 1996
Publisher: Elsevier Science
Citation: Nucl.Phys. B487(1997): 721-738
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 the soft spectrum of the Dirac operator is briefly discussed.
Appears in Collections:Dept of Mathematics Research Papers
Mathematical Sciences

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