Inhomogeneous Six-Vertex Model with Domain Wall Boundary Conditions and Bethe Ansatz

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dc.creatorKorepin, V.
dc.creatorZinn-Justin, P.
dc.date2000-08-23
dc.date.accessioned2026-07-07T05:32:59Z
dc.date.available2026-07-07T05:32:59Z
dc.descriptionIn this note, we consider the six-vertex model with domain wall boundary conditions, defined on a $M\times M$ lattice, in the inhomogeneous case where the partition function depends on 2M inhomogeneities $λ_j$ and $μ_k$. For a particular choice of the set of $λ_j$ we find a new determinant representation for the partition function, which allows evaluation of the bulk free energy in the thermodynamic limit. This provides a new connection between two types of determinant formulae. We also show in a special case that spin correlations on the horizontal line going through the center coincide with the ones for periodic boundary conditions.
dc.identifierhttps://arxiv.org/abs/nlin/0008030
dc.identifierhttp://arxiv.org/abs/nlin/0008030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79850
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.titleInhomogeneous Six-Vertex Model with Domain Wall Boundary Conditions and Bethe Ansatz
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