Boundary polarization in the six-vertex model.
Vertical-arrow fluctuations near the boundaries in the six-vertex model on the two-dimensional NxN square lattice with the domain wall boundary conditions are considered. The one-point correlation function ("boundary polarization") is expressed via the partition function of the model on a sublattice. The partition function is represented in terms of standard objects in the theory of orthogonal polynomials. This representation is used to study the large N limit: the presence of the boundary affects the macroscopic quantities of the model even in this limit. The logarithmic terms obtained are compared with predictions from conformal field theory.
Bogoliubov
N M
NM
Steklov Institute of Mathematics at St. Petersburg, Fontanka 27, St. Petersburg 191011, Russia.
Kitaev
A V
AV
Zvonarev
M B
MB