Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-03-08
Physics
High Energy Physics
High Energy Physics - Theory
34 pages, 8 figures. Invited contribution prepared for Review Volume "Etudes on Theoretical Physics" dedicated to 65th anniver
Scientific paper
We review classical monopole solutions of the SU(2) Yang-Mills-Higgs theory. The first part is a pedagogical introduction into to the basic features of the celebrated 't Hooft - Polyakov monopole. In the second part we describe new classes of static axially symmetric solutions which generalise 't Hooft - Polyakov monopole. These configurations are either deformations of the topologically trivial sector or the sectors with different topological charges. In both situations we construct the solutions representing the chains of monopoles and antimonopoles in static equilibrium. The solutions of another type are closed vortices which are centred around the symmetry axis and form different bound systems. Configurations of the third type are monopoles bounded with vortices. We suggest classification of these solutions which is related with 2d Poincare index.
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