2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217019We present a new type of cluster algorithm that strongly reduces critical slowing down in simulations of vertex models. Since the clusters are closed paths of bonds, we call it the {\em loop algorithm}. The basic steps in constructing a cluster are the break-up and the freezing of vertices. We concentrate on the case of the F model, which is a subset of the 6-vertex model exhibiting a Kosterlitz-Thouless transition. The loop algorithm is also applicable to simulations of other vertex models and of one and two-dimensional quantum spin systems.9 pages, Latex, 2 figures in Latex, FSU-SCRI-92-164Condensed MatterHigh Energy Physics - Latticetext