Cross-fertilization of Ferreira's Hopfions and electromagnetic knots

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Published 13 March 2009 • Published under licence by IOP Publishing Ltd
, , Citation Chang-Guang Shi and Minoru Hirayama JHEP03(2009)089 DOI 10.1088/1126-6708/2009/03/089

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Author affiliations

1 Department of Mathematics and Physics, Shanghai University of Electric Power, Pinglian Road 2103, Shanghai 200090, China

2 Department of Physics, University of Toyama, Gofuku 3190, Toyama 930-8555, Japan

Dates

  1. Received 17 January 2009
  2. Accepted 21 February 2009
  3. Published

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1126-6708/2009/03/089

Abstract

The interrelation between Ferreira's Hopf solitons of a conformal nonlinear σ model and the electromagnetic knots found by Rañada et al. is investigated. It is shown that the electromagnetic knots yield exact solutions of the conformal nonlinear σ model different from those obtained by Ferreira. Conversely, It is discussed that Ferreira's solutions realize magnetic knots. The energy associated with these two kinds of knots are compared. The structure of the electric charge distribution and the electric current density associated with the magnetic knots is investigated.

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10.1088/1126-6708/2009/03/089