Universality of random matrices in the microscopic limit and the Dirac operator spectrum

Details Universality of random matrices in the microscopic limit and the Dirac operator spectrum Universality of random matrices in the microscopic limit and the Dirac operator spectrum

1996-09-22

arxiv.org/abs/hep-th/9609174v2

Nucl.Phys.B487:721-738,1997

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, LaTeX. One reference added

Scientific paper

10.1016/S0550-3213(96)00713-4

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.

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