Stable, Spinning Embedded Vortices

Abstract

The spinning vortex is a stationary generalization of the Nielsen-Olesen vortex involving a linear time dependence of the Goldstone boson. Here we show that this vortex can be embedded in models with $SU(2{)}_{global}\times U(1{)}_{local}$ symmetry. We also map the stability sector in parameter space and show that for sufficiently large spinning velocities the vortex is stable for {\it any} value of the Higgs self coupling parameter $\beta$. This is a significant improvement of stability compared to the semilocal vortex introduced by Vachaspati and Achucarro which is stable only for $\beta <1$. This result may have significant implications for electroweak vortices.

11 pages plus 2 figures (available in a postscript file from the author), submitted to Phys. Rev. D. Use LaTeX. Preprint No. CfA-3824

References in corpus (7)

• Detailed Stability Analysis of Electroweak Strings
• Semilocal Defects
• Topologically Stable Electroweak Flux Tube
• Bound States Can Stabilize Electroweak Strings
• On the Asymptotics of Nielsen-Olesen Vortices
• Stability of Two Doublet Electroweak Strings
• Existence of Double Vortex Solutions

Cited by in corpus (7)

• Stabilization of Embedded Defects by Plasma Effects
• Topological Defects with Non-Symmetric Core
• Gravitational Interactions of Finite Thickness Global Topological Defects with Black Holes
• Fermions on the Electroweak String
• Band structure in classical field theory
• Stabilizing the Semilocal String with a Dilatonic Coupling
• Scattering from Electroweak Strings