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arXiv math-ph/0504058math-phhep-thmath.MP
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2-矩阵模型关联函数的拓扑展开:留数公式的图解规则

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

Bertrand Eynard, Nicolas Orantin

摘要:

我们解决的厄米特2矩阵模型的回路方程的所有订单的拓扑$1/N^2$展开,即我们获得所有的非混合关联函数,在一个代数曲线上的剩余。我们给出了两个表示的费曼类图,其中一个只涉及立方顶点的残留物。

英文摘要:

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.

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