Topological expansion of the 2-matrix model correlation functions: diagrammatic rules for a residue formula

被引：0

作者：

Eynard, B ^{[1
]}

Orantin, N ^{[1
]}

机构：

[1] CEA Saclay, CNRS, Unite Rech Assoc, Serv Phys Theor Saclay,URA D2306, F-91191 Gif Sur Yvette, France

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2005年 / 12期

关键词：

differential and algebraic geometry; 1/N expansion; topological field theories; matrix models;

D O I：

暂无

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 solve the loop equations of the hermitian 2-matrix model to all orders in the topological 1/N-2 expansion, i.e. we obtain all non-mixed correlation functions, in terms of residues on an algebraic curve. We give two representations of those residues as Feynman-like graphs, one of them involving only cubic vertices.

引用

页数：44

共 38 条

[11] LOOP EQUATIONS AND NONPERTURBATIVE EFFECTS IN 2-DIMENSIONAL QUANTUM-GRAVITY [J].