2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/202687In many theories with flat directions of scalar potential, static vortex solutions do not exist for a generic choice of vacuum. In two Euclidean dimensions, we find their substitutes --- constrained instantons consisting of compact core formed by Abrikosov--Nielsen--Olesen vortex and long-ranged cloud of modulus field. In (3+1) dimensions, an initial compact configuration of string topology evolves in such a way that at every point in space the modulus relaxes, in a universal manner, to one and the same value characteristic to the theory.8 pages, latex, 3 figures, uses axodraw.styHigh Energy Physics - PhenomenologyHigh Energy Physics - Theorytext