Twisted Skyrmion String

Abstract

We study nonlinear sigma model, especially Skyrme model without twist and Skyrme model with twist: twisted Skyrmion string. Twist term, $mkz$, is indicated in vortex solution. Necessary condition for stability of vortex solution has consequence that energy of vortex is minimum and scale-free (vortex solution is neutrally stable to changes in scale). We find numerically that the value of vortex minimum energy per unit length for twisted Skyrmion string is $20.37\times 10^{60}\text{eV/m}$.

12 pages, 2 figures. Presented at CTPNP 2014 and submitted to Journal of Physics: Conference Series. Web: http://situs.opi.lipi.go.id/ctpnp2014/