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

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.

preprint2011arXivOpen access
L. A. FerreiraP. KlimasW. J. Zakrzewski
math-phmath.MPnlin.SIhep-th
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L. A. FerreiraP. KlimasW. J. Zakrzewski

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