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
收藏
页码：139 / 144
页数：6
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