Boundary correlation functions of the six-vertex model

Details Boundary correlation functions of the six-vertex model Boundary correlation functions of the six-vertex model

2002-03-15

arxiv.org/abs/math-ph/0203025v2

J. Phys. A: Math. Gen. 35, 5525-5541 (2002)

Physics

Mathematical Physics

20 pages, 2 figures, typos corrected

Scientific paper

10.1088/0305-4470/35/27/301

We consider the six-vertex model on an $N \times N$ square lattice with the domain wall boundary conditions. Boundary one-point correlation functions of the model are expressed as determinants of $N\times N$ matrices, generalizing the known result for the partition function. In the free fermion case the explicit answers are obtained. The introduced correlation functions are closely related to the problem of enumeration of alternating sign matrices and domino tilings.

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