Q Rings

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 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 Q ring on a three dimensional lattice thus generalizing our demonstration of stability.

4 double column pages including 2 figures

Cited by in corpus (14)

• TOPICAL REVIEW: General relativistic boson stars
• Stationary ring solitons in field theory - knots and vortons
• Affleck-Dine dynamics, Q-ball formation and thermalisation
• Q-balls in Maxwell-Chern-Simons theory
• Dynamical evolution of $U(1)$ gauged Q-balls in axisymmetry
• Q-vortices, Q-walls and coupled Q-balls
• Charged Domain Walls
• Spinning Q-balls in Abelian Gauge Theories with positive potentials: existence and non existence
• Maxwell-Chern-Simons Q-balls
• Hydrodynamic and Rayleigh-Plateau instabilities of Q-strings
• Semitopological Q-Rings
• Spectrally stable encapsulated vortices for nonlinear Schroedinger equations
• Understanding the Quantized Angular Momentum of Rotating Q-balls
• Proceedings to the Workshops ''What comes beyond the Standard model'' 2000,2001, VOLUME 1: Festschrift dedicated to the 60th birthday of Holger Bech Nielsen