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

Authors
TU MH SHAW JC YEN HC
Citation
Mh. Tu et al., THE 2-MATRIX MODEL AT FINITE N AND THE 2D TODA HIERARCHY, Zhongguo wuli xuekan, 31(5), 1993, pp. 631-641
Citations number
19
Categorie Soggetti
Physics
Journal title
Zhongguo wuli xuekan → ACNP
ISSN journal
05779073
Volume
31
Issue
5
Year of publication
1993
Pages
631 - 641
Database
ISI
SICI code
0577-9073(1993)31:5<631:T2MAFN>2.0.ZU;2-J
Abstract
We give a rigorous proof that the partition function of the standard h ermitian two-matrix model at finite N is a tau-function of the 2d Toda hierarchy. The proof is based on the establishment of a characteristi c bilinear relation for the associated Baker-Akhiezer functions, which we have explicitly constructed in terms of the orthogonal polynomials of the matrix model.