2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/223410We 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 figureStatistical Mechanicstext