Potentials and the vortex solutions in the $CP^N$ Skyrme-Faddeev model
High Energy Physics - Theory
2015-08-12 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
The extended Skyrme-Faddeev model possesses vortex solutions in a (3+1) dimensional Minkowski space-time with target space . 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 contains large class of solutions with much wider range of coupling constants than the previously known exact solution.
Keywords
Cite
@article{arxiv.1504.02848,
title = {Potentials and the vortex solutions in the $CP^N$ Skyrme-Faddeev model},
author = {Yuki Amari and Pawel Klimas and Nobuyuki Sawado and Yuta Tamaki},
journal= {arXiv preprint arXiv:1504.02848},
year = {2015}
}
Comments
12 pages, 5 figures