Abstract
We show the existence of new stable ringlike 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 are local minima of the energy in scalar field theories with an unbroken U(1) global symmetry. 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 ring on a three dimensional lattice.
- Received 17 January 2001
DOI:https://doi.org/10.1103/PhysRevLett.86.4459
©2001 American Physical Society