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Semiclassical analysis of Dirac fields on curved spacetime

Oancea, MA and Kumar, A (2023) Semiclassical analysis of Dirac fields on curved spacetime. In: Physical Review D, 107 (4).

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Official URL: https://10.1103/PhysRevD.107.044029


We present a semiclassical analysis for Dirac fields on an arbitrary spacetime background and in the presence of a fixed electromagnetic field. Our approach is based on a Wentzel-Kramers-Brillouin approximation, and the results are analyzed at leading and next-to-leading order in the small expansion parameter h. Taking into account the spin-orbit coupling between the internal and external degrees of freedom of wave packets, we derive effective ray equations with spin-dependent terms. These equations describe the gravitational spin Hall effect of localized Dirac wave packets. We treat both massive and massless Dirac fields and show how a covariantly defined Berry connection and the associated Berry curvature govern the semiclassical dynamics. The gravitational spin Hall equations are shown to be particular cases of the Mathisson-Papapetrou equations for spinning objects. © 2023 American Physical Society.

Item Type: Journal Article
Publication: Physical Review D
Publisher: American Physical Society
Additional Information: The copyright of this article belongs to the Authors.
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 12 Mar 2023 05:29
Last Modified: 12 Mar 2023 05:29
URI: https://eprints.iisc.ac.in/id/eprint/80947

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