Microscopic spectra of Dirac operators and finite-volume partition functions

被引：44

作者：

Akemann, G

Damgaard, PH

机构：

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

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

来源：

NUCLEAR PHYSICS B | 1998年 / 528卷 / 1-2期

关键词：

microscopic Dirac spectra; finite-volume partition functions; random matrix universality;

D O I：

10.1016/S0550-3213(98)00338-1

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：

Exact results from random matrix theory are used to systematically analyze the relationship between microscopic Dirac spectra and finite-volume partition functions. Results are presented for the unitary ensemble, and the chiral analogs of the three classical matrix ensembles: unitary, orthogonal and symplectic, all of which describe universality classes of SU(N-c) gauge theories with N-f fermions in different representations. Random matrix theory universality is reconsidered in this new light. (C) 1998 Elsevier Science B.V.

引用

页码：411 / 431

页数：21

共 26 条

[1] Universality of random matrices in the microscopic limit and the Dirac operator spectrum [J].