The photon time delay in magnetized vacuum magnetosphere

Abstract

We study the transverse propagation of photons in a magnetized vacuum considering radiative corrections in the one-loop approximation. The dispersion equation is modified due to the magnetized photon self-energy in the transparency region ($0<\omega <2m_e$). The aim of our study is to explore propagation of photons in a neutron star magnetosphere (described by magnetized vacuum). The solution of the dispersion equation is obtained in terms of analytic functions. The larger the magnetic field, the lower the phase velocity and the more the dispersion curve deviates from the light-cone. For fixed values of the frequency, we study the dependence of photon time delay with the magnetic field strength, as well as with distance. For the latter, we adopt a magnetic dipole configuration and obtain that -- contrary to the expectation, according to the traditional time delay of photons in the interstellar medium -- photons of higher energy experience a longer time delay. A discussion of potential causes of this behaviour is presented.

arXiv comment10 pages, 6 figures, and one appendix

References in corpus (8)

• Strange Quark Matter and Compact Stars
• On the Masses of Galaxies in the Local Universe
• Theory of pulsar magnetosphere and wind
• Delayed GeV--TeV Photons from Gamma-Ray Bursts Producing High-Energy Cosmic Rays
• Constraining the origin of TeV photons from gamma-ray bursts with delayed MeV-GeV emission formed by interaction with cosmic infrared/microwave background photons
• Is the photon paramagnetic?
• Modelling the Magnetic Field Configuration of Neutron Stars
• The photon magnetic moment problem revisited