# Electrodynamics with Lorentz-violating operators of arbitrary dimension

@article{Kosteleck2009ElectrodynamicsWL,
title={Electrodynamics with Lorentz-violating operators of arbitrary dimension},
author={Alan Kosteleck{\'y} and Matthew Mewes},
journal={Physical Review D},
year={2009},
volume={80},
pages={015020}
}
• Published 1 May 2009
• Physics
• Physical Review D
The behavior of photons in the presence of Lorentz and CPT violation is studied. Allowing for operators of arbitrary mass dimension, we classify all gauge-invariant Lorentz- and CPT-violating terms in the quadratic Lagrange density associated with the effective photon propagator. The covariant dispersion relation is obtained, and conditions for birefringence are discussed. We provide a complete characterization of the coefficients for Lorentz violation for all mass dimensions via a…
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## References

SHOWING 1-10 OF 383 REFERENCES
Signals for Lorentz violation in electrodynamics
• Physics
• 2002
An investigation is performed of the Lorentz-violating electrodynamics extracted from the renormalizable sector of the general Lorentz- and CPT-violating standard-model extension. Among the
Lorentz violating supersymmetric quantum electrodynamics
• Physics
• 2005
The theory of supersymmetric quantum electrodynamics is extended by interactions with external vector and tensor backgrounds, that are assumed to be generated by some Lorentz-violating (LV) dynamics
Lorentz invariance violation and charge (non)conservation: A general theoretical frame for extensions of the Maxwell equations
• Physics
• 2005
All quantum gravity approaches lead to small modifications in the standard laws of physics which in most cases lead to violations of Lorentz invariance. One particular example is the extended
Spontaneous Lorentz violation, Nambu-Goldstone modes, and gravity
• Physics
• 2005
The fate of the Nambu-Goldstone modes arising from spontaneous Lorentz violation is investigated. Using the vierbein formalism, it is shown that up to 10 Lorentz and diffeomorphism Nambu-Goldstone
Astrophysical Tests of Lorentz and CPT Violation with Photons
• Physics
• 2008
A general framework for tests of Lorentz invariance with electromagnetic waves is presented, allowing for operators of arbitrary mass dimension. Signatures of Lorentz violations include vacuum
Spontaneous Lorentz and diffeomorphism violation, massive modes, and gravity
• Physics
• 2008
Theories with spontaneous local Lorentz and diffeomorphism violation contain massless NambuGoldstone modes, which arise as field excitations in the minimum of the symmetry-breaking potential. If the
Signals for Lorentz violation in post-Newtonian gravity
• Physics
• 2006
The pure-gravity sector of the minimal standard-model extension is studied in the limit of Riemann spacetime. A method is developed to extract the modified Einstein field equations in the limit of
Gravity, Lorentz violation, and the standard model
The role of the gravitational sector in the Lorentz- and CPT-violating standard-model extension ~SME! is studied. A framework is developed for addressing this topic in the context of Riemann-Cartan
Lorentz and CPT violation in neutrinos
• Physics
• 2004
A general formalism is presented for violations of Lorentz and CPT symmetry in the neutrino sector. The effective Hamiltonian for neutrino propagation in the presence of Lorentz and CPT violation is
Quantization of the Myers-Pospelov model: The photon sector interacting with standard fermions as a perturbation of QED
• Physics
• 2008
We study the quantization of the electromagnetic sector of the Myers-Pospelov model coupled to standard fermions. Our main objective, based upon experimental and observational evidence, is to