On vortices and rings in extended Abelian models

Details On vortices and rings in extended Abelian models On vortices and rings in extended Abelian models

2007-02-23

arxiv.org/abs/hep-ph/0702243v2

PhysicaD234:1-10,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, 10 figures, minor changes. Revised edition published in Physica D

Scientific paper

10.1016/j.physd.2007.06.019

A numerical search for straight superconducting vortices in a U(1) model with a Ginzburg-Landau potential containing a cubic term, is presented. Such vortices exist in a small numerically determined region. The reasons of their existence in that narrow region of the parameter space, as well as of their instability in the rest of the parameter space, are explained. Then, the results of a numerical search for axially symmetric solitons in a U(1)\times U(1) model with higher derivative terms, which is based on Physica D 228 (2007) 159, are presented and discussed.

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