Six -vertex model with domain wall boundary conditions: Riemann -Hilbert approach
We derive the large N asymptotics in the six-vertex model with domain wall boundary conditions in the disordered phase. We show that the subdominant terms in the large N asymptotics of the free energy exhibit, in general, quasiperiodic powerlike behavior. The free energy of the model is expressed in terms of the recurrent coefficients of the corresponding system of orthogonal polynomials. We obtain the large N asymptotics for the recurrent coefficients, thus, providing the answer to the asymptotic behavior of the model. The derivation of the asymptotics and the proofs are based on the Riemann-Hilbert approach.
Bleher, Purdue University.
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