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Wereszczyński, A.

Integrability and Hopf solitons in models with explicitly broken \(O(3)\) symmetry. (English) Zbl 1191.81154

Eur. Phys. J. C, Part. Fields 38, No. 2, 261-265 (2004).
Summary: 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.

Cited in 6 Documents

MSC:

81T10 Model quantum field theories
81R12 Groups and algebras in quantum theory and relations with integrable systems
81R40 Symmetry breaking in quantum theory
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