FaddeevHopf knots: dynamics of linked unknots
Abstract
We have studied numerically FaddeevHopf knots which are defined as those unitvector fields in R^{3} that have a nontrivial Hopf charge and minimize Faddeev's Lagrangian. A given initial configuration was allowed to relax into a (local) minimum using the first order dissipative dynamics corresponding to the steepest descent method. A linked combination of two unknots was seen to relax into different minimum energy configurations depending on their charges and their relative handedness and direction. In order to visualize the results we plot certain gaugeinvariant isosurfaces.
 Publication:

Physics Letters B
 Pub Date:
 April 1999
 DOI:
 10.1016/S03702693(99)000544
 arXiv:
 arXiv:hepth/9811053
 Bibcode:
 1999PhLB..451...60H
 Keywords:

 High Energy Physics  Theory
 EPrint:
 11 pages with 6 figures (3 in color)