On the partition function of the six-vertex model with domain wall boundary conditions

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dc.creatorColomo, Filippo
dc.creatorPronko, Andrei
dc.date2003-09-30
dc.date2004-02-23
dc.date.accessioned2026-07-07T10:50:37Z
dc.date.available2026-07-07T10:50:37Z
dc.descriptionThe six-vertex model on an $N\times N$ square lattice with domain wall boundary conditions is considered. A Fredholm determinant representation for the partition function of the model is given. The kernel of the corresponding integral operator is of the so-called integrable type, and involves classical orthogonal polynomials. From this representation, a ``reconstruction'' formula is proposed, which expresses the partition function as the trace of a suitably chosen quantum operator, in the spirit of corner transfer matrix and vertex operator approaches to integrable spin models.
dc.descriptiontypos corrected
dc.identifierhttps://arxiv.org/abs/math-ph/0309064
dc.identifierhttp://arxiv.org/abs/math-ph/0309064
dc.identifierJ.Phys.A37:1987-2002,2004
dc.identifierdoi:10.1088/0305-4470/37/6/003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184591
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.titleOn the partition function of the six-vertex model with domain wall boundary conditions
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