Knot soliton in Weinberg–Salam model

Fayzullaev, B. A; Musakhanov, M.; Pak, D. G.; Siddikov M.

Keywords: standard model, knot

Abstract

We study numerically the topological knot solution suggested recently in the Weinberg–Salam model. Applying the SU(2)SU(2) gauge-invariant Abelian projection we demonstrate that the restricted part of the Weinberg–Salam Lagrangian containing the interaction of the neutral boson with the Higgs scalar can be reduced to the Ginzburg–Landau model with the hidden SU(2)SU(2) symmetry. The energy of the knot composed from the neutral boson and Higgs field has been evaluated by using the variational method with a modified Ward ansatz. The obtained numerical value is 39 TeV which provides the upper bound on the electroweak knot energy.

Más información

Título de la Revista: PHYSICS LETTERS B
Volumen: 609
Número: 3-4
Editorial: Elsevier
Fecha de publicación: 2005
Página de inicio: 442
Página final: 448
Idioma: English
DOI:

http://dx.doi.org/10.1016/j.physletb.2005.01.076

Notas: ISI