Abstract
Interaction of the unified Einstein-Maxwell field with the Dirac spinor field is investigated. A variational principle is found which is of a first differential order and, contrary to the standard variational derivation of the Dirac equation, does not lead to any second type of constraints. The present Letter follows [3] it its description of the Einstein-Maxwell field and [4] in its description of the Dirac field.
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Jakubiec, A., Kijowski, J. On interaction of the unified Maxwell-Einstein field with spinorial matter. Lett Math Phys 9, 1–11 (1985). https://doi.org/10.1007/BF00398545
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DOI: https://doi.org/10.1007/BF00398545