Superluminal Noncommutative Photons
arXiv:hep-th/0106047 · doi:10.1016/S0370-2693(01)00995-9
Abstract
With the help of the Seiberg-Witten map, one can obtain an effective action of a deformed QED from a noncommutative QED. Starting from the deformed QED, we investigate the propagation of photons in the background of electromagnetic field, up to the leading order of the noncommutativity parameter. In our setting (both the electric and magnetic fields are parallel to the coordinate axis and the nonvanishing component of the noncommutativity parameter is ), we find that the electric field has no effect on the propagation of photons, but the velocity of photons can be larger than the speed of light () when the propagating direction of photons is perpendicular to the direction of background magnetic field, while the light-cone condition does not change when the propagating direction is parallel to the background magnetic field. The causality associated with the superluminal photons is discussed briefly.
Revtex, 11 pages, v3: corrected an estimation on page 7 of deviation from the speed of light
References in corpus (2)
Cited by in corpus (40)
- Testing Non-commutative QED, Constructing Non-commutative MHD
- Review of the Phenomenology of Noncommutative Geometry
- Perfect Fluid Theory and its Extensions
- Noncommutative Field Theories and Gravity
- The Kepler problem and non commutativity
- Exact Seiberg-Witten Map and Induced Gravity from Noncommutativity
- On the Space-Time Symmetries of Non-Commutative Gauge Theories
- Ultraviolet modified photons and anisotropies in the cosmic microwave background radiation
- Noncommutative Synchrotron
- Effective Lagrangian at Cubic Order in Electromagnetic Fields and Vacuum Birefringence
- Real and virtual photons in an external constant electromagnetic field of most general form
- Dispersion Relations in Noncommutative Theories
- Observations on noncommuting coordinates and on fields depending on them
- Noncommutative Einstein-Maxwell pp-waves
- Classical Noncommutative Electrodynamics with External Source
- Noncommutative magnetic moment of charged particles
- Quasinormal Modes in Noncommutative Schwarzschild black holes
- Duality Symmetry and Plane Waves in Non-Commutative Electrodynamics
- Noncommuting fields and non-Abelian fluids
- U(1) gauge invariant noncommutative Schrödinger theory and gravity
- Light Propagation in a Background Field for Time-Space Noncommutativity and Axionic Noncommutative QED
- Noncommuting Electric Fields and Algebraic Consistency in Noncommutative Gauge theories
- Photon propagation in noncommutative QED with constant external field
- Canonical Quantization of Noncommutative Field Theory
- On the Vacuum Cherenkov Radiation in Noncommutative Electrodynamics and the Elusive Effects of Lorentz Violation
- Hypothesis on the Nature of Time
- Quantum speed limit for a relativistic electron in the noncommutative phase space
- Noncommutative electrodynamics and ultra high energy gamma rays
- Classical electrodynamics in a space with spin noncommutativity of coordinates
- Violation of Lorentz invariance and dynamical effects in high energy gamma rays
- Noncommutative Electrodynamics with covariant coordinates
- Quantum and pseudoclassical descriptions of nonrelativistic spinning particles in noncommutative space
- A Note on Duality Symmetry in Nonlinear Gauge Theories
- Quantum and pseudoclassical descriptions of nonrelativistic spinning particles in noncommutative space
- Aspects of Noncommutative Scalar/Tensor Duality
- Strong Coupling Phenomena on the Noncommutative Plane
- Speed addition and closed time cycle in Lorentz-non-invariant theories
- On plane wave and vortex-like solutions of noncommutative Maxwell-Chern-Simons theory
- Supersymmetry and Gravity in Noncommutative Field Theories
- On photonic tunnelling and the possibility of superluminal transport of electromagnetic energy