Properties of some (3+1) dimensional vortex solutions of the CPN model
Abstract
We construct new classes of vortex-like solutions of the CPN 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 CPN 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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