Smallest Dirac eigenvalue distribution from random matrix theory

被引：84

作者：

Nishigaki, SM ^{[1
]}

Damgaard, PH

Wettig, T

机构：

[1] Univ Calif Santa Barbara, Inst Theoret Phys, Santa Barbara, CA 93106 USA

[2] Niels Bohr Inst, DK-2100 Copenhagen O, Denmark

[3] Tech Univ Munich, Inst Theoret Phys, D-85747 Garching, Germany

来源：

PHYSICAL REVIEW D | 1998年 / 58卷 / 08期

关键词：

D O I：

10.1103/PhysRevD.58.087704

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We derive the hole probability and the distribution of the smallest eigenvalue of chiral Hermitian random matrices corresponding to Dirac operators coupled to massive quarks in QCD. They are expressed in terms of the QCD partition function in the mesoscopic regime. Their universality is explicitly related to that of the microscopic massive Bessel kernel. [S0556-2821(98)03118-X].

引用

页数：4

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