arXiv:hep-th/0412282·v2·High Energy Physics — Theory
Knot soliton in Weinberg-Salam model
B. A. Fayzullaev🇺🇿 · M. M. Musakhanov🇺🇿 · D. G. Pak🇰🇷 · M. Siddikov🇺🇿
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.
Comments: 6 pages, 3 figures, analysis of stability added