| Autor: |
Oancea, Marius A., Kumar, Achal |
| Rok vydání: |
2022 |
| Předmět: |
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| Zdroj: |
Phys. Rev. D 107, 044029 (2023) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1103/PhysRevD.107.044029 |
| Popis: |
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 $\hbar$. 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. |
| Databáze: |
arXiv |
| Externí odkaz: |
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