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

被引：161

作者：

Akemann, G

Damgaard, PH

Magnea, U

Nishigaki, S

机构：

[1] NIELS BOHR INST,DK-2100 COPENHAGEN O,DENMARK

[2] NORDITA,DK-2100 COPENHAGEN O,DENMARK

来源：

NUCLEAR PHYSICS B | 1997年 / 487卷 / 03期

基金：

日本学术振兴会;

关键词：

D O I：

10.1016/S0550-3213(96)00713-4

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

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.

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收藏

页码：721 / 738

页数：18

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