Reality and causality in quantum gravity modified electrodynamics
arXiv:gr-qc/0511117 · doi:10.1103/PhysRevD.74.065020
Abstract
We present a general description of the propagation properties of quantum gravity modified electrodynamics characterized by constitutive relations up to second order in the correction parameter. The effective description corresponds to an electrodynamics in a dispersive and absorptive non-local medium, where the Green functions and the refraction indices can be explicitly calculated. The reality of the electromagnetic field together with the requirement of causal propagation in a given referrence frame leads to restrictions in the form of such refraction indices. In particular, absorption must be present in all cases and, contrary to the usual assumption, it is the dominant aspect in those effective models which exhibit linear effects in the correction parameter not related to birefringence. In such a situation absorption is linear while propagation is quadratical in the correction parameter.
15 pages, LaTex, minor changes to clarify some points, version accepted for publication
References in corpus (28)
- Noncommutative Field Theory
- Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo
- Modern tests of Lorentz invariance
- Nonstandard optics from quantum spacetime
- Signals for Lorentz Violation in Electrodynamics
- Stability, Causality, and Lorentz and CPT Violation
- Ultraviolet modifications of dispersion relations in effective field theory
- Signals for Lorentz Violation in Post-Newtonian Gravity
- Cosmological Constraints on Lorentz Violation in Electrodynamics
- Lorentz violation at high energy: concepts, phenomena and astrophysical constraints
- Loop quantum gravity and light propagation
- Astrophysical Probes of the Constancy of the Velocity of Light
- Robust Limits on Lorentz Violation from Gamma-Ray Bursts
- Spacetime-varying couplings and Lorentz violation
- Vacuum Cherenkov radiation
- Lorentz-Violating Electrostatics and Magnetostatics
- Quantum-Gravity Analysis of Gamma-Ray Bursts using Wavelets
- A Microscopic Recoil Model for Light-Cone Fluctuations in Quantum Gravity
- Synchrotron Radiation from the Crab Nebula Discriminates between Models of Space-Time Foam
- Synchrotron Radiation and Quantum Gravity
- Synchrotron Radiation in Lorentz-violating Electrodynamics: the Myers-Pospelov model
- Lorentz invariance violation and charge (non--)conservation: A general theoretical frame for extensions of the Maxwell equations
- U(1) Noncommutative Gauge Fields and Magnetogenesis
- Synchrotron radiation in Myers-Pospelov effective electrodynamics
- Ultraviolet modified photons and anisotropies in the cosmic microwave background radiation
- On The Classical Dynamics Of Charges In Noncommutative QED
- Impact of Low-Energy Constraints on Lorentz Violation
- Lorentz violating electrodynamics
Cited by in corpus (4)
- Testing Lorentz Invariance Violation with WMAP Five Year Data
- Radiatively induced Lorentz-violating operator of mass dimension five in QED
- Quantum Corrections to Lorentz Invariance Violating Theories: Fine-Tuning Problem
- Phenomenological description of quantum gravity inspired modified classical electrodynamics