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.

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