2-Matrix versus Complex Matrix Model, Integrals over the Unitary Group as Triangular Integrals

被引：0

作者：

B. Eynard

A. Prats Ferrer

机构：

[1] CEA/DSM/SPhT - CNRS/SPM/URA 2306,Service de Physique Théorique de Saclay

[2] Universitad Barcelona,Departament d'Estructura i constituents de la Matèria

来源：

Communications in Mathematical Physics | 2006年 / 264卷

关键词：

Neural Network; Statistical Physic; Complex System; Nonlinear Dynamics; Matrix Model;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove that the 2-hermitian matrix model and the complex-matrix model obey the same loop equations, and as a byproduct, we find a formula for Itzykzon-Zuber type integrals over the unitary group. Integrals over U(n) are rewritten as gaussian integrals over triangular matrices and then computed explicitly. That formula is an efficient alternative to the former Shatashvili's formula.

引用

页码：115 / 144

页数：29

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