Potentials and the vortex solutions in theCPNSkyrme-Faddeev model

Yuki Amari, Paweł Klimas, Nobuyuki Sawado, Yuta Tamaki
2015 Physical Review D  
The extended Skyrme-Faddeev model possesses vortex solutions in a (3+1) dimensional Minkowski space-time with target space CP^N. They have finite energy per unit of length and contain waves propagating along vortices with the speed of light. We introduce various types of the potentials which correspond with holomorphic solutions of the integrable sector and also with several numerical solutions outside of this sector. The presented solutions constitute a strong indication that the current model
more » ... contains large class of solutions with much wider range of coupling constants than the previously known exact solution.
doi:10.1103/physrevd.92.045007 fatcat:ldw7orh3pjaszjc5fvzwgt4rf4