Knots and Particles
High Energy Physics - Theory
2009-07-09 v1 Superconductivity
High Energy Physics - Phenomenology
Nuclear Theory
Computational Physics
Abstract
Using methods of high performance computing, we have found indications that knotlike structures appear as stable finite energy solitons in a realistic 3+1 dimensional model. We have explicitly simulated the unknot and trefoil configurations, and our results suggest that all torus knots appear as solitons. Our observations open new theoretical possibilities in scenarios where stringlike structures appear, including physics of fundamental interactions and early universe cosmology. In nematic liquid crystals and 3He superfluids such knotted solitons might actually be observed.
Keywords
Cite
@article{arxiv.hep-th/9610193,
title = {Knots and Particles},
author = {L. Faddeev and Antti J. Niemi},
journal= {arXiv preprint arXiv:hep-th/9610193},
year = {2009}
}
Comments
9 pages, 4 color eps figures and one b/w because of size limit (color version available from authors)