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Proca and electromagnetic fields
Authors:P. Hillion  S. Quinnez
Affiliation:(1) Institut Henri Poincaré, 75231 Paris, France;(2) Faculté des Sciences Mirande, Laboratoire de Physique-Mathematique, 21004 Dijon, France
Abstract:In the framework of the proper orthochronous Lorentz group, the old connection is revived between the electromagnetic field characterized by a self-dual tensor and a traceless second-rank spinor obeying the Proca equation. The relationship between this spinor and the Hertz potential also considered as a self-dual tensor is emphasized. The extension of this formalism to meet the covariance under the full Lorentz group is also discussed.
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