Boundary correlation functions of the six and nineteen vertex models with domain wall boundary conditions

Abstract

Correlation functions of the six and nineteen vertex models on an N \times N lattice with domain wall boundary conditions are studied. The general expression of the boundary correlation functions is obtained for the six vertex model by use of the quantum inverse scattering method. The correlation functions which are not "boundary" can be expressed as a linear sum of the boundary correlation functions. For the nineteen vertex model, the boundary correlation functions are shown to be expressed in terms of those for the six vertex model.

14 pages, 2 figures, to appear in Physica A

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Cited by in corpus (6)

• Multiply-refined enumeration of alternating sign matrices
• New enumeration formulas for alternating sign matrices and square ice partition functions
• On the problem of calculation of correlation functions in the six-vertex model with domain wall boundary conditions
• Six-vertex model on a finite lattice: integral representations for nonlocal correlation functions
• Thermodynamic limit of the six-vertex model with reflecting end
• Generalized emptiness formation probability in the six-vertex model