標題: | MATRIX MODELS AT FINITE-N AND THE KP HIERARCHY |
作者: | SHAW, JC TU, MH YEN, HC 應用數學系 Department of Applied Mathematics |
公開日期: | 1-八月-1992 |
摘要: | We give an alternative proof that the partition function Z(n)(t(l)) of the hermitian one-matrix model at finite N is a particular Wronskian type tau-function of the KP hierarchy, and is related to the orthogonal polynomials P(n)(lambda, t) by P(n)(lambda, t) = lambda(n)Z(n)(t(l) + l-1-lambda(-l))/Z(n)(t(l)). We also derive a bilinear relation for the Baker-Akhiezer function of the matrix model, generalizing the bilinear identity of the KP hierarchy. |
URI: | http://hdl.handle.net/11536/3334 |
ISSN: | 0577-9073 |
期刊: | CHINESE JOURNAL OF PHYSICS |
Volume: | 30 |
Issue: | 4 |
起始頁: | 497 |
結束頁: | 507 |
顯示於類別: | 會議論文 |