MATRIX MODELS AT FINITE-N AND THE KP HIERARCHY

dc.citation.epage	507	en_US
dc.citation.issue	4	en_US
dc.citation.spage	497	en_US
dc.citation.volume	30	en_US
dc.contributor.author	SHAW, JC	en_US
dc.contributor.author	TU, MH	en_US
dc.contributor.author	YEN, HC	en_US
dc.contributor.department	應用數學系	zh_TW
dc.contributor.department	Department of Applied Mathematics	en_US
dc.date.accessioned	2014-12-08T15:04:50Z
dc.date.available	2014-12-08T15:04:50Z
dc.date.issued	1992-08-01	en_US
dc.description.abstract	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.	en_US
dc.identifier.issn	0577-9073	en_US
dc.identifier.journal	CHINESE JOURNAL OF PHYSICS	en_US
dc.identifier.uri	https://ir.lib.nycu.edu.tw/handle/11536/3334
dc.identifier.wosnumber	WOS:A1992JK19600008
dc.language.iso	en_US	en_US
dc.title	MATRIX MODELS AT FINITE-N AND THE KP HIERARCHY	en_US
dc.type	Article; Proceedings Paper	en_US

Files

Now showing 1 - 1 of 1