Astrophysical implications on the quantized Faraday effect

Abstract

The aim of this work is to study Faraday rotation in the quantum relativistic limit. Starting from the photon self-energy in the presence of a constant magnetic field the rotation of the polarization vector of a plane electromagnetic wave which travels along the fermion-antifermion gas is studied. The connection between Faraday Effect and Quantum Hall Effect (QHE) is discussed. The Faraday angle shows a resonant behavior which is related with the branching points of the Hall conductivity. Possible applications to magnetospheres of compact objects are discussed.