What becomes of vortices in theories with flat directions

1996/09/05 by A. A. Penin, A.A. Penin, V. A. Rubakov +5 · 9 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #hep-ph #hep-th

paper · pdf · doi:10.1016/s0370-2693(96)01234-8

published as Phys.Lett.B389:13-17,1996 · 8 pages, latex, 3 figures, uses axodraw.sty

arxiv created 1996/09/05 · openalex publication_date 1996/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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