Knot soliton in Weinberg-Salam model

Details Knot soliton in Weinberg-Salam model Knot soliton in Weinberg-Salam model

2004-12-23

arxiv.org/abs/hep-th/0412282v2

Phys.Lett. B609 (2005) 442-448

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, 3 figures, analysis of stability added

Scientific paper

10.1016/j.physletb.2005.01.076

We study numerically the topological knot solution suggested recently in the Weinberg-Salam model. Applying the 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) 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.

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