Yang-Mills-Higgs soliton dynamics in \(2+1\) dimensions. (English. Russian original) Zbl 0952.81013
Theor. Math. Phys. 117, No. 3, 1375-1384 (1998); translation from Teor. Mat. Fiz. 117, No. 3, 339-350 (1998).
Summary: Dimensional reduction of the self-dual Yang-Mills equation in \(2+2\) dimensions produces an integrable Yang-Mills-Higgs-Bogomolnyi equation in \(2+1\) dimensions. For the \(SU(1,1)\) gauge group, a ‘t Hooft-like ansatz is used to construct a monopole-like solution and an \(N\)-soliton-type solution, which describes both the static deformed monopoles and the exotic monopole dynamics including a transmutation. How the monopole solution results from the twistor formalism is shown. Multimonopole solutions are commented on.
MSC:
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 81R25 | Spinor and twistor methods applied to problems in quantum theory |
| 37N20 | Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) |
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