Non-linear multi-plane wave solutions of self-dual Yang-Mills theory |
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Authors: | H J de Vega |
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Institution: | (1) CERN, CH-1211 Geneva 23, Switzerland |
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Abstract: | New solutions of self-dual Yang-Mills (SDYM) equations are constructed in Minkowski space-time for the gauge groupSL(2, ). After proposing a Lorentz covariant formulation of Yang's equations, a set of Ansätze for exact non-linear multiplane wave solutions are proposed. The gauge fields are rational functions ofe
x·ki
(K
i
2
=0, 1iN) for these Ansätze. At least, three families of multisoliton type solutions are derived explicitly. Their asymptotic behaviour shows that non-linear waves scatter non-trivially in Minkowski SDYM.On leave from LPTHE Université Paris VI, 4, Place Jussieu, Tour 16, ler étage, F-75230 Paris Cedex 05, France |
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Keywords: | |
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