Knot soliton in Weinberg-Salam model
High Energy Physics - Theory
2009-11-10 v2 High Energy Physics - Phenomenology
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.
Keywords
Cite
@article{arxiv.hep-th/0412282,
title = {Knot soliton in Weinberg-Salam model},
author = {B. A. Fayzullaev and M. M. Musakhanov and D. G. Pak and M. Siddikov},
journal= {arXiv preprint arXiv:hep-th/0412282},
year = {2009}
}
Comments
6 pages, 3 figures, analysis of stability added