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Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
Journal Article

Low-Energy Scattering of Non-Abelian Magnetic Monopoles [and Discussion]

Michael Atiyah, N. J. Hitchin, J. T. Stuart and M. Tabor
Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
Vol. 315, No. 1533, New Developments in the Theory and Application of Solitons (Aug. 13, 1985), pp. 459-469
Published by: Royal Society
https://www.jstor.org/stable/37546
Page Count: 11

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Topics: Solitons, Riemann manifold, Angular momentum, Magnetic monopoles, Potential energy, Geometric planes, Electromagnetic fields, Structural deflection, Magnetic fields
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Low-Energy Scattering of Non-Abelian Magnetic Monopoles [and Discussion]
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Abstract

The Bogomolny equations represent static configurations of magnetic monopoles, for some non-Abelian group such as SU (2). Geodesic motion on this configuration space represents slowly moving interacting monopoles. Geometric information on this space can then be used to investigate the scattering of monopoles. The results show surprising features, including a 90 degrees scattering and the conversion of angular momentum into electric charge.
Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences © 1985 Royal Society