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Integrability and Hopf solitons in models with explicitly broken O(3) symmetry

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Abstract.

A wide class of models, built of the three component unit vector field living in the (3 + 1) Minkowski space-time, which explicitly break global O(3) symmetry are discussed. The symmetry breaking occurs due to the so-called dielectric function multiplying a standard symmetric term. Integrability conditions are found. Moreover, for some particular forms of the Lagrangian exact toroidal solutions with any Hopf index are obtained. It is proved that such a symmetry breaking influences the shape of the solitons whereas the energy as well as the Hopf index remain unchanged.

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Authors and Affiliations

  1. Institute of Physics, Jagiellonian University, Reymonta 4, Kraków, Poland

    A. Wereszczyński

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  1. A. Wereszczyński
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Correspondence to A. Wereszczyński.

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Received: 2 September 2004, Revised: 29 September 2004, Published online: 15 November 2004

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Wereszczyński, A. Integrability and Hopf solitons in models with explicitly broken O(3) symmetry. Eur. Phys. J. C 38, 261–265 (2004). https://doi.org/10.1140/epjc/s2004-02041-x

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  • DOI: https://doi.org/10.1140/epjc/s2004-02041-x

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