THE 2-MATRIX MODEL AT FINITE N AND THE 2D TODA HIERARCHY

被引：0

作者：

TU, MH ^{[1
]}

SHAW, JC ^{[1
]}

YEN, HC ^{[1
]}

机构：

[1] NATL CHIAO TUNG UNIV,DEPT APPL MATH,HSINCHU 300,TAIWAN

来源：

CHINESE JOURNAL OF PHYSICS | 1993年 / 31卷 / 05期

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D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We give a rigorous proof that the partition function of the standard hermitian two-matrix model at finite N is a tau-function of the 2d Toda hierarchy. The proof is based on the establishment of a characteristic bilinear relation for the associated Baker-Akhiezer functions, which we have explicitly constructed in terms of the orthogonal polynomials of the matrix model.

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页码：631 / 641

页数：11

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