Spin Hall effect of Photons in a Static Gravitational Field

Details Spin Hall effect of Photons in a Static Gravitational Field Spin Hall effect of Photons in a Static Gravitational Field

2006-03-29

arxiv.org/abs/hep-th/0603227v4

Phys.Rev.D75:084035,2007

Physics

High Energy Physics

High Energy Physics - Theory

6 pages

Scientific paper

10.1103/PhysRevD.75.084035

Starting from a Hamiltonian description of the photon within the set of Bargmann-Wigner equations we derive new semiclassical equations of motion for the photon propagating in static gravitational field. These equations which are obtained in the representation diagonalizing the Hamiltonian at the order $\hbar $, present the first order corrections to the geometrical optics. The photon Hamiltonian shows a new kind of helicity-magnetotorsion coupling. However, even for a torsionless space-time, photons do not follow the usual null geodesic as a consequence of an anomalous velocity term. This term is responsible for the gravitational birefringence phenomenon: photons with distinct helicity follow different geodesics in a static gravitational field.

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