UNIVERSALITY OF RANDOM MATRICES IN THE MICROSCOPIC LIMIT AND THE DIRAC OPERATOR SPECTRUM

Authors
AKEMANN G DAMGAARD PH MAGNEA U NISHIGAKI S
Citation
G. Akemann et al., UNIVERSALITY OF RANDOM MATRICES IN THE MICROSCOPIC LIMIT AND THE DIRAC OPERATOR SPECTRUM, Nuclear physics. B, 487(3), 1997, pp. 721-738
Citations number
22
Categorie Soggetti
Physics, Nuclear
Journal title
Nuclear physics. B → ACNP
ISSN journal
05503213
Volume
487
Issue
3
Year of publication
1997
Pages
721 - 738
Database
ISI
SICI code
0550-3213(1997)487:3<721:UORMIT>2.0.ZU;2-0
Abstract
We prove the universality of correlation functions of chiral unitary a nd unitary ensembles of random matrices in the microscopic limit. The essence of the proof consists in reducing the three-term recursion rel ation for the relevant orthogonal polynomials into a Bessel equation g overning the local asymptotics around the origin. The possible physica l interpretation as the universality of the soft spectrum of the Dirac operator is briefly discussed.