SPECTRAL SUM-RULES AND SELBERG INTEGRAL FORMULA

被引：49

作者：

VERBAARSCHOT, J

机构：

[1] Department of Physics, SUNY, Stony Brook

来源：

PHYSICS LETTERS B | 1994年 / 329卷 / 2-3期

关键词：

D O I：

10.1016/0370-2693(94)90784-6

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Using Selberg's integral formula we derive all Leutwyler-Smilga type sum rules for one and two flavors, and for each of the three chiral random matrix ensembles. In agreement with arguments from effective field theory, all sum rules for N(f) = 1 coincide for the three ensembles. The connection between spectral correlations and the low-energy effective partition function is discussed.

引用

页码：351 / 357

页数：7

共 16 条

[1] JACOBI-POLYNOMIALS ASSOCIATED WITH SELBERG INTEGRALS [J].