Loop equations for the semiclassical 2-matrix model with hard edges
Loop equations for the semiclassical 2-matrix model with hard edges
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DOI：
10.1088/1742-5468/2005/10/p10006
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发表时间：
2005-04
期刊：
影响因子：
--
通讯作者：
B. Eynard
中科院分区：
文献类型：
--
作者：
B. Eynard
2-矩阵模型可以定义在比多项式势更一般的设置中，即半经典矩阵模型。在这种情况下，势是这样的，它们的导数是有理函数，并且特征值的积分路径是积分收敛的路径的任意同调类。这种选择特别包括积分路径具有固定端点（称为硬边）的情况。硬边在回路方程中引起边界贡献。本文的目的是给出这种半经典情况下的回路方程。
The 2-matrix model can be defined in a setting more general than polynomial potentials, namely, the semiclassical matrix model. In this case, the potentials are such that their derivatives are rational functions, and the integration paths for eigenvalues are arbitrary homology classes of paths for which the integral is convergent. This choice includes in particular the case where the integration path has fixed endpoints, called hard edges. The hard edges induce boundary contributions in the loop equations. The purpose of this paper is to give the loop equations in that semi-classical setting.