Semiclassical analysis of Dirac fields on curved spacetime

Autor(en)

Marius A. Oancea, Achal Kumar

Abstrakt

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 ℏ. 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.

Organisation(en)

Gravitationsphysik

Externe Organisation(en)

Indian Institute of Science

Journal

Physical Review D

Band

107

Anzahl der Seiten

25

ISSN

2470-0010

DOI

https://doi.org/10.1103/PhysRevD.107.044029

Publikationsdatum

02-2023

Peer-reviewed

Ja

ÖFOS 2012

103036 Theoretische Physik, 103019 Mathematische Physik

ASJC Scopus Sachgebiete

Nuclear and High Energy Physics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/e6058911-df83-4796-86eb-94a0898ca9f3