M. Axenides a, E. Floratosa S. Komineasb,
L. Perivolaropoulosa, aInstitute of Nuclear Research, N.C.R.P.S. Demokritos, 15310 Athens, Greece bPhysikalisches Institut, Universitat Bayreuth D-95440 Bayreuth, Germany
Abstract
We show the existence of new stable ring-like localized scalar
field configurations whose stability is due to a combination of
topological and nontopological charges. In that sense these
defects may be called semitopological. These rings are Noether
charged and also carry Noether current (they are superconducting).
They involve a single complex scalar field and they appear in
theories where a U(1) symmetry remains unbroken. We obtain
numerical solutions of the field configuration corresponding to
large rings and derive virial theorems demonstrating their
stability. We also derive the minimum energy field configurations
in 3D and simulate the evolution of a finite size Q ring on a
three dimensional lattice thus generalizing our demonstration of
stability.