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Knots in the Skyrme-Faddeev model.

Sutcliffe, P. M. (2007) 'Knots in the Skyrme-Faddeev model.', Proceedings of the Royal Society A : mathematical, physical and engineering sciences., 463 (2087). pp. 3001-3020.

Abstract

The Skyrme–Faddeev model is a modified sigma model in three-dimensional space, which has string-like topological solitons classified by the integer-valued Hopf charge. Numerical simulations are performed to compute soliton solutions for Hopf charges up to 16, with initial conditions provided by families of rational maps from the three-sphere into the complex projective line. A large number of new solutions are presented, including a variety of torus knots for a range of Hopf charges. Often these knots are only local energy minima, with the global minimum being a linked solution, but for some values of the Hopf charge they are good candidates for the global minimum energy solution. The computed energies are in agreement with Ward's conjectured energy bound.

Item Type:Article
Keywords:Knots, Skyrme-Faddeev, Hopf solitons, Skyrmions.
Full text:Full text not available from this repository.
Publisher Web site:http://dx.doi.org/10.1098/rspa.2007.0038
Record Created:08 Jan 2008
Last Modified:09 Sep 2014 11:03

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