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Minkowski space Yang-Mills fields from Euclidean self-dual fields

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Abstract

It is examined, if it is possible, to obtain solutions of the SU(2) Yang-Mills field equations in Minkowski space from Euclidean self-dual Yang-Mills fields by method proposed by Bernreuther. It is shown that the conditions, which are imposed on the Euclidean self-dual fields by this method, make every Euclidean self-dual field and the corresponding Minkowski space field obtained from it, equivalent to a pure gauge field, F ab ≡0.

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Kyriakopoulos, E. Minkowski space Yang-Mills fields from Euclidean self-dual fields. Lett Math Phys 5, 53–60 (1981). https://doi.org/10.1007/BF00401827

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  • DOI: https://doi.org/10.1007/BF00401827

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