Hopf solitons and Hopf Q-balls on S^3

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dc.creatorSanchez-Guillen, J.
dc.creatorAdam, C.
dc.creatorWereszczynski, A.
dc.date2006-02-01
dc.date2006-06-07
dc.date.accessioned2026-07-07T10:45:50Z
dc.date.available2026-07-07T10:45:50Z
dc.descriptionField theories with a $S^2$-valued unit vector field living on $S^3 \times \RR$ space-time are investigated. The corresponding eikonal equation, which is known to provide an integrable sector for various sigma models in different spaces, is solved giving static as well as time-dependent multiply knotted configurations on $S^3$ with arbitrary values of the Hopf index. Using these results, we then find a set of hopfions with topological charge $Q_H=m^2$, $m \in \mathbf{Z}$, in the integrable subsector of the pure $CP^1$ model. In addition, we show that the $CP^1$ model with a potential term provides time-dependent solitons. In the case of the so-called "new baby Skyrme" potential we find, e.g., exact stationary hopfions, i.e., topological $Q$-balls. Our results further enable us to construct exact static and stationary Hopf solitons in the Faddeev--Niemi model with or without the new baby Skyrme potential. Generalizations for a large class of models are also discussed.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0602008
dc.identifierhttp://arxiv.org/abs/hep-th/0602008
dc.identifierEur.Phys.J.C47:513-524,2006
dc.identifierdoi:10.1140/epjc/s2006-02571-1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183038
dc.subjectHigh Energy Physics - Theory
dc.titleHopf solitons and Hopf Q-balls on S^3
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