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arXiv 0904.0753math-phhep-thmath.MP
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全阶厄米1-矩阵模型的拉格朗日形式的证明

Proof of the Lagrangean formalism of Hermitean 1-matrix models to all orders

Alexander Klitz

摘要:

我们证明了形式厄米1-矩阵模型的关联函数和自由能可以用最近提出的拉格朗日形式描述到所有的阶数。此外,该形式的回路方程的陈述和解决了五阶1 / N^2明确。

英文摘要:

We show that the correlation functions and the free energy of the formal Hermitean 1-matrix model can be described by the recently proposed Lagrangean formalism to all orders. In addition, the loop equation of this formalism is stated and solved up to the fifth order in 1 / N^2 explicitly.

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