Properties of some (3+1) dimensional vortex solutions of the CP^N model
High Energy Physics - Theory
2013-05-29 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.1108.4401,
title = {Properties of some (3+1) dimensional vortex solutions of the CP^N model},
author = {L. A. Ferreira and P. Klimas and W. J. Zakrzewski},
journal= {arXiv preprint arXiv:1108.4401},
year = {2013}
}
Comments
23 pages, 30 figures