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On the interaction of massive spinor particles with external electromagnetic and torsion fields

Lewis H. Ryder·Ilya L. Shapiro
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Abstract

We explore the Dirac equation in external electromagnetic and torsion fields. Motivated by the previous study of quantum field theory in an external torsion field, we include a nonminimal interaction of the spinor field with torsion. As a consequence, the torsion axial vector and the electromagnetic potential enter the action in a similar form. The existence of an extra local symmetry is emphasized and the Foldy-Wouthuysen transformation is performed to an accuracy of next to the leading order. We also discuss the motion of a classical test particle in a constant torsion field.

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Lewis H. Ryder, Ilya L. Shapiro. 1998-05-21. On the interaction of massive spinor particles with external electromagnetic and torsion fields. https://doi.org/10.1016/s0375-9601(98)00503-9

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