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}
}
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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