Quadratures for self-dual GL(2,C) Yang–Mills fields
- 1 February 1987
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 28 (2) , 334-338
- https://doi.org/10.1063/1.527662
Abstract
It is the purpose of this paper to show that the GL(2,C) Yang–Mills equations can be solved in terms of integrals over the characteristic initial data. The method is based on showing that enough gauge freedom exists in the choice of characteristic initial data so that the data can always be put into either upper or lower triangular form. With triangular form data the Sparling equation (a linear first-order equation equivalent to the self-dual Yang–Mills equations) can be solved by explicit quadratures.Keywords
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