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arXiv · hep-th/0412282

Knot soliton in Weinberg-Salam model

B. A. Fayzullaev·M. M. Musakhanov·D. G. Pak·M. Siddikov
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Abstract

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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B. A. Fayzullaev, M. M. Musakhanov, D. G. Pak, M. Siddikov. 2005-02-26. Knot soliton in Weinberg-Salam model. https://doi.org/10.1016/j.physletb.2005.01.076

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