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Properties of some ( $3 + 1$ )-dimensional vortex solutions of the $C P^{N}$ model

L. A. Ferreira¹, P. Klimas¹, and W. J. Zakrzewski²

¹Instituto de Física de São Carlos; IFSC/USP; Universidade de São Paulo Caixa Postal 369, CEP 13560-970, São Carlos-SP, Brazil
²Department of Mathematical Sciences, University of Durham, Durham DH1 3LE, United Kingdom

Phys. Rev. D 84, 085022 – Published 21 October, 2011

DOI: https://doi.org/10.1103/PhysRevD.84.085022

Abstract

We construct new classes of vortexlike solutions of the $C P^{N}$ 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 $C P^{N}$ models. We show that as the total energy of these solutions is infinite, they describe evolving vortices and antivortices 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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References (6)

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N. Manton and P. M. Sutcliffe, Topological Solitons (Cambridge University Press, Cambridge, England, 2004).

Physical Review D

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Properties of some ( $3 + 1$ )-dimensional vortex solutions of the $C P^{N}$ model

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Properties of some (3+1)-dimensional vortex solutions of the CPN model

Abstract

Article Text

References (6)

Properties of some ( $3 + 1$ )-dimensional vortex solutions of the $C P^{N}$ model