The partition function of the six-vertex model as a Fredholm determinant. Large N asymptotics.

Nikita Slavnov

Abstract: The partition function of the six-vertex homogeneous model with domain wall boundary conditions is presented as a Fredholm determinant of an integrable operator with the kernel depending on Laguerre polynomials. This representation allows to evaluate large N (the size of lattice) asymptotic behavior of the partition function.