On the thermodynamic limit of the 6-vertex model
Abstract
Description
We give a rigorous treatment to the thermodynamic limit of the 6-vertex model. We prove that the unique solution of the Bethe-Ansatz equation exists and the distribution of the roots converges to a continuum measure. We solve this problem for $0<Δ<1$ using convexity arguments and for large negative $Δ$ using the Fixed Point Theory of appropriately defined contracting operator.
23 pages, 1 figure
23 pages, 1 figure