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

Preprint

23 September 1996

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9609174

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

DIRAC OPERATOR SPECTRUM
OPERATOR SPECTRUM
MICROSCOPIC LIMIT
RANDOM MATRICES
SPECTRUM
UNITARY
CHIRAL

All Related Versions

Version 1, 1996-09-23, ArXiv
Version 2, 1996-09-23, ArXiv
Published version: Nuclear Physics B, 487 (3), 721.

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