Properties of some (3+1) dimensional vortex solutions of the CP^N model
arXiv:1108.4401 · doi:10.1103/PhysRevD.84.085022
Abstract
We construct new classes of vortex-like solutions of the CP^N model in (3+1) dimensions and discuss some of their properties. These solutions are obtained by generalizing to (3+1) dimensions the techniques well established for the two dimensional CP^N models. We show that as the total energy of these solutions is infinite, they describe evolving vortices and anti-vortices with the energy density of some configurations varying in time. We also make some further observations about the dynamics of these vortices.
23 pages, 30 figures