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29 March 2024
 
  » arxiv » hep-th/9811053

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Faddeev-Hopf knots: Dynamics of linked un-knots
Jarmo Hietarinta ; Petri Salo ;
Date 5 Nov 1998
Journal Phys.Lett. B451 (1999) 60-67
Subject hep-th
AbstractWe have studied numerically Faddeev-Hopf knots, which are defined as those unit-vector 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 un-knots 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 gauge-invariant iso-surfaces.
Source arXiv, hep-th/9811053
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