Abstract
Self-duality equations for Yang-Mills fields and the Dirac equation with an external (anti-) selfdual gauge field are studied in the Minkowski space by spinorial methods. For the Dirac equations, all (four) possible combinations of the fermion chirality and duality of the external fields are considered.
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Pervushin, V.N., Hořejši, J. Spinor analysis of Yang-Mills theory in the Minkowski space. Z. Phys. C - Particles and Fields 22, 397–401 (1984). https://doi.org/10.1007/BF01547430
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DOI: https://doi.org/10.1007/BF01547430