Quantum gravitational optics: the induced phase

Abstract

The geometrical approximation of the extended Maxwell equation in curved spacetime incorporating interactions induced by the vacuum polarization effects is considered. Taking into account these QED interactions and employing the analogy between eikonal equation in geometrical optics and Hamilton-Jacobi equation for the particle motion, we study the phase structure of the modified theory. There is a complicated, local induced phase which is believed to be responsible for the modification of the classical picture of light ray. The main features of QGO could be obtained through the study of this induced phase. We discuss initial principles in conventional and modified geometrical optics and compare the results.

10 pages, REVTex format

References in corpus (9)

• Modified geometrical optics of a smoothly inhomogeneous isotropic medium: the anisotropy, Berry phase, and the optical Magnus effect
• ``Faster than Light'' Photons in Gravitational Fields -- Causality, Anomalies and Horizons
• Quantum Gravitational Optics
• Faster than light' photons and charged black holes
• `Faster than light' photons and rotating black holes
• Propagation of vacuum polarized photons in topological black hole spacetimes
• Accelerating Photons with Gravitational Radiation
• Quantum gravitational optics: Effective Raychaudhuri equation
• Fermat's principle in quantum gravitational optics

Cited by in corpus (6)

• Strong gravitational lensing for the photons coupled to Weyl tensor in a Schwarzschild black hole spacetime
• Polarization effects in Kerr black hole shadow due to the coupling between photon and bumblebee field
• Double shadow of a regular phantom black hole as photons couple to Weyl tensor
• Strong gravitational lensing for the photons coupled to Weyl tensor in a Kerr black hole spacetime
• Geometric optics for a coupling model of the electromagnetic and gravitational fields
• Optical properties of a Brane-World black hole as photons couple to the Weyl tensor