Properties of some (3+1) dimensional vortex solutions of the CP^N model

Details Properties of some (3+1) dimensional vortex solutions of the CP^N model Properties of some (3+1) dimensional vortex solutions of the CP^N model

2011-08-22

arxiv.org/abs/1108.4401v1

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, 30 figures

Scientific paper

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.

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