Proof of universality of the Bessel kernel for chiral matrix models in the microscopic limit

被引：20

作者：

Nishigaki, S

机构：

[1] Niels Bohr Institute, DK-2100 Copenhagen Ø

来源：

PHYSICS LETTERS B | 1996年 / 387卷 / 01期

关键词：

random matrix model; orthogonal polynomial; universality; correlation function; 1/N expansion; energy level statistics; critical phenomena; QCD;

D O I：

10.1016/0370-2693(96)01006-4

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We prove the universality of correlation functions of chiral complex matrix models in the microscopic limit (N --> infinity, z --> 0, Nz = fixed) which magnifies the crossover region around the origin of the eigenvalue distribution. The proof exploits the fact that the three-term difference equation for orthogonal polynomials reduces into a universal second-order differential (Bessel) equation in the microscopic limit.

引用

页码：139 / 144

页数：6

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