Dynamical symmetry of monopole scattering |
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| Institution: | 1. The Mathematical Institute, University of Oxford, Oxford OXI 3LB, UK;2. Dublin Institute for Advanced Studies, 10 Burlington Road, Dublin 4, Ireland;1. Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, China;2. Laboratoire de Mathématiques et de Physique Théorique, Université de Tours, France;1. Institute of Automation and Control Processes FEB RAS, 5 Radio Street, 690041 Vladivostok, Russia;2. School of Natural Sciences, Far Eastern Federal University, 690950 Vladivostok, Russia;3. Department of Electronics, Vladivostok State University of Economics and Service, 690600 Vladivostok, Russia |
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| Abstract: | The conserved “Runge-Lenz” vector found by Gibbons and Manton in describing asymptotic scattering of Bogomolny-Prasad-Sommerfield monopoles is shown to generate, together with angular momentum, an o (4) or an o(3,1) symmetry algebra analogous to the one in the Kepler problem. This allows for a group-theoretical derivation of the bound-state spectrum and the scattering cross section. |
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