Infrared Lorentz Violation and Slowly Instantaneous Electricity

Abstract

We study a modification of electromagnetism which violates Lorentz invariance at large distances. In this theory, electromagnetic waves are massive, but the static force between charged particles is Coulomb not Yukawa. At very short distances the theory looks just like QED. But for distances larger than 1/m the massive dispersion relation of the waves can be appreciated, and the Coulomb force can be used to communicate faster than the speed of light. In fact, electrical signals are transmitted instantly, but take a time ~ 1/m to build up to full strength. After that, undamped oscillations of the electric field are set in and continue until they are dispersed by the arrival of the Lorentz-obeying part of the transmission. We study experimental constraints on such a theory and find that the Compton wavelength of the photon may be as small as 6000 km. This bound is weaker than for a Lorentz-invariant mass, essentially because in our case the Coulomb constraint is removed.

4 pages

References in corpus (1)

• Phases of massive gravity

Cited by in corpus (28)

• Models of non-relativistic quantum gravity: the good, the bad and the healthy
• Infrared-modified gravities and massive gravitons
• Horava gravity vs. thermodynamics: the black hole case
• Bare and Induced Lorentz and CPT Invariance Violations in QED
• Cerenkov Radiation in a Lorentz-Violating and Birefringent Vacuum
• Spontaneous Lorentz Breaking at High Energies
• Quantization and stability of bumblebee electrodynamics
• Cosmological attractors in massive gravity
• Bumpy black holes from spontaneous Lorentz violation
• Aether Unleashed
• Radiatively Induced Lorentz-Violating Photon Masses
• Consistent Lorentz Violation in Flat and Curved Space
• Radiatively Induced Lorentz and Gauge Symmetry Violation in Electrodynamics with Varying alpha
• Lorentz Violation and the Higgs Mechanism
• Ground state energy of unitary fermion gas with the Thomson Problem approach
• Ultra-large distance modification of gravity from Lorentz symmetry breaking at the Planck scale
• Superfluids and the Cosmological Constant Problem
• The Lorentz- and CPT-Violating Standard Model Extension in Chiral Perturbation Theory
• Generalized Nonlinear Proca Equation and its Free-Particle Solutions
• Dual embedding of extended models with a Lorentz-breaking mass term
• Instantaneous interaction in massive gravity
• Symmetries from Locality. I. Electromagnetism and Charge Conservation
• Consistency of an alternative CPT-odd and Lorentz-violating extension of QED
• Action principle of Galilean relativistic Proca theory
• Alexandru Proca (1897--1955) the Great Physicist
• Residual gauge-invariance in a massive Lorentz-violating extension of QED
• Resolving Puzzles of Massive Gravity with and without violation of Lorentz symmetry
• Tree-level equivalence between a Lorentz-violating extension of QED and its dual model in electron-electron scattering