Transcendent self-dual solutions for SU(2) gauge fields on euclidean four-dimensional space |
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| Authors: | Bernard Leaute Gilbert Marcilhacy |
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| Affiliation: | Institut Henri Poincaré, Laboratoire de Physique Théorique, 11 rue P. et M. Curie, 75231 Paris Cedex 05, France;Université Paris VI, Laboratoire de Physique Théorique, 4, place Jussieu, 75230 Paris Cedex 05, France |
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| Abstract: | By applying the method of separation of variables, we find a particular class of solutions of Yang's equations in the R-gauge for self-dual SU(2) static, axisymmetric gauge fields on euclidean four-dimensional flat space. The solutions obtained are depending functionally on a particular form of the fifth Painlevé transcendent. |
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