Classical Gauge Vacua as Knots
High Energy Physics - Theory
2009-11-07 v1
Abstract
The four dimensional O(3) non-linear sigma model introduced by Faddeev and Niemi, with a Skyrme-like higher order term to stabilise static knot solutions classified by the Hopf invariant, can be rewritten in terms of the complex two-component CP1 variables. A further rewriting of these variables in terms of SU(2) curvature free gauge fields is performed. This leads us to interpret SU(2) pure gauge vacuum configurations, in a particular maximal abelian gauge, in terms of knots with the Hopf invariant equal to the winding number of the gauge configuration.
Keywords
Cite
@article{arxiv.hep-th/0105141,
title = {Classical Gauge Vacua as Knots},
author = {Pierre van Baal and Andreas Wipf},
journal= {arXiv preprint arXiv:hep-th/0105141},
year = {2009}
}
Comments
LaTeX, 5 pages, no figures