What Becomes of Vortices in Theories with Flat Directions

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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8 pages, latex, 3 figures, uses axodraw.sty

Scientific paper

10.1016/S0370-2693(96)01234-8

In 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.

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