Integrability and Hopf Solitons in Models with Explicitly Broken O(3) Symmetry
arXiv:hep-th/0405155 · doi:10.1140/epjc/s2004-02041-x
Abstract
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.
arXiv comment11 pages
References in corpus (13)
- Knots and Particles
- To be or knot to be?
- Faddeev-Hopf knots: Dynamics of linked un-knots
- A New Approach to Integrable Theories in any Dimension
- Aspects of Electric and Magnetic Variables in SU(2) Yang-Mills Theory
- Toroidal solitons in 3+1 dimensional integrable theories
- Towards a string representation of infrared SU(2) Yang-Mills theory
- Classical Gauge Vacua as Knots
- The Interaction of Two Hopf Solitons
- Integrability and Conformal Symmetry in Higher Dimensions: A Model with Exact Hopfion Solutions
- A lattice study of the Faddeev-Niemi effective action
- Ring-shaped exact Hopf solitons
- A flux tube model for glueballs
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