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

dc.citation.epage641en_US
dc.citation.issue5en_US
dc.citation.spage631en_US
dc.citation.volume31en_US
dc.citation.woscount1
dc.contributor.authorTU, MHen_US
dc.contributor.authorSHAW, JCen_US
dc.contributor.authorYEN, HCen_US
dc.contributor.department應用數學系zh_TW
dc.contributor.departmentDepartment of Applied Mathematicsen_US
dc.date.accessioned2014-12-08T15:04:19Z
dc.date.available2014-12-08T15:04:19Z
dc.date.issued1993-10-01en_US
dc.description.abstractWe 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.en_US
dc.identifier.issn0577-9073en_US
dc.identifier.journalCHINESE JOURNAL OF PHYSICSen_US
dc.identifier.urihttps://ir.lib.nycu.edu.tw/handle/11536/2827
dc.identifier.wosnumberWOS:A1993LZ72200004
dc.language.isoen_USen_US
dc.titleTHE 2-MATRIX MODEL AT FINITE N AND THE 2D TODA HIERARCHYen_US
dc.typeArticleen_US

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