Multicritical microscopic spectral correlators of Hermitian and complex matrices

被引：52

作者：

Akemann, G

Damgaard, PH

Magnea, U

Nishigaki, SM

机构：

[1] CNRS, Ctr Phys Theor, F-13288 Marseille 9, France

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

[3] NORDITA, DK-2100 Copenhagen O, Denmark

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

来源：

NUCLEAR PHYSICS B | 1998年 / 519卷 / 03期

基金：

美国国家科学基金会; 日本学术振兴会;

关键词：

D O I：

10.1016/S0550-3213(98)00143-6

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 find the microscopic spectral densities and the spectral correlators associated with multicritical behavior for both hermitian and complex matrix ensembles, and show their universality. We conjecture that microscopic spectral densities of Dirac operators in certain theories without spontaneous chiral symmetry breaking may belong to these new universality classes. (C) 1998 Elsevier Science B.V.

引用

页码：682 / 714

页数：33

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[1] Higher genus correlators for the hermitian matrix model with multiple cuts [J].