Topological interpretation of quantum numbers |
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Authors: | S. A. Bulgadaev |
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Affiliation: | (1) L. D. Landau Institute of Theoretical Physics, Russian Academy of Sciences, 117334 Moscow, Russia |
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Abstract: | The paper shows how vector topological charges for topological excitations in nonlinear σ-models on compact one-dimensional spaces T G and G/T G can be defined (here G is a simple compact Lie group and T G is its maximal commutative subgroup). Explicit solutions, their energies and interactions between different topological charges have been obtained. A possibility of topological interpretation of quantum numbers of groups and particles is discussed. Zh. éksp. Teor. Fiz. 116, 1131–1147 (October 1999) |
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