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

摘要

Correlation functions of the six and nineteen vertex models on an N imes Nlattice with domain wall boundary conditions are studied. The generalexpression of the boundary correlation functions is obtained for the six vertexmodel by use of the quantum inverse scattering method. The correlationfunctions which are not "boundary" can be expressed as a linear sum of theboundary correlation functions. For the nineteen vertex model, the boundarycorrelation functions are shown to be expressed in terms of those for the sixvertex model.