What Becomes of Vortices in Theories with Flat Directions

  title={What Becomes of Vortices in Theories with Flat Directions},
  author={Alexander Penin and Valery A. Rubakov and Peter G. Tinyakov and S. V. Troitsky},
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… CONTINUE READING