Random hermitian matrices in an external field

被引：59

作者：

ZinnJustin, P ^{[1
]}

机构：

[1] UNIV PARIS SUD,PHYS THEOR LAB,ECOLE NORMALE SUPER,F-75231 PARIS 05,FRANCE

来源：

NUCLEAR PHYSICS B | 1997年 / 497卷 / 03期

关键词：

random matrix; matrix model; disordered systems; universal correlation;

D O I：

10.1016/S0550-3213(97)00307-6

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：

In this article, a model of random Hermitian matrices is considered, in which the measure exp(-S) contains a general U(N)-invariant potential and an external source term: S = N tr(V(M) + MA). The generalization of known determinant formulae leads to compact expressions for the correlation functions of the energy levels. These expressions, exact at finite N, are potentially useful for asymptotic analysis. (C) 1997 Elsevier Science B.V.

引用

页码：725 / 732

页数：8

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