Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-05-18
Eur.Phys.J. C38 (2004) 261-265
Physics
High Energy Physics
High Energy Physics - Theory
11 pages
Scientific paper
10.1140/epjc/s2004-02041-x
A wide class of models, built of the three component unit vector field living in the (3+1) Minkowski space-time, which break explicitly 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 symmetry breaking influences the shape of the solitons whereas the energy as well as the Hopf index remain unchanged.
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