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arXiv:1101.0187 · Physica A Statistical Mechanics and its Applications

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

Kohei Motegi

Published May 10, 2011• 9 citations
arXivHTMLPDF
DOI
10.1016/j.physa.2011.04.032

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We review our recent work on the boundary correlation functions of integrable vertex models on an N × N lattice with domain wall boundary conditions. Particularly considered is the six vertex model. The general expression of the boundary correlation functions is obtained for the six vertex model by use of the quantum inverse scattering method. We also comment on the potential application of the boundary correlation functions, and the relation between the boundary correlation functions for the nineteen vertex model.

Journal of Physics Conference Series•Feb 8, 2012•1 citation
We review our recent work on the boundary correlation functions of integrable vertex models on an N × N lattice with domain wall boundary conditions. Particularly considered is the six vertex model. The general expression of the boundary correlation functions is obtained for the six vertex model by use of the quantum inverse scattering method. We also comment on the potential application of the boundary correlation functions, and the relation between the boundary correlation functions for the nineteen vertex model.