Astronomy and Astrophysics – Astrophysics – High Energy Astrophysical Phenomena
Scientific paper
2011-02-14
Astroparticle Physics 35 (2011) 95-97
Astronomy and Astrophysics
Astrophysics
High Energy Astrophysical Phenomena
version accepted for publication in Astroparticle Physics
Scientific paper
Constraints on possible Lorentz invariance violation (LIV) to first order in $E/M_{\rm Planck}$ for photons in the framework of effective field theory (EFT) are discussed, taking cosmological factors into account. Then, using the reported detection of polarized soft $\gamma$-ray emission from the $\gamma$-ray burst GRB041219a that is indicative of an absence of vacuum birefringence, together with a very recent improved method for estimating the redshift of the burst, we derive constraints on the dimension 5 Lorentz violating modification to the Lagrangian of an effective local QFT for QED. Our new constraints are more than five orders of magnitude better than recent constraints from observations of the Crab Nebula. We obtain the upper limit on the Lorentz violating dimension 5 EFT parameter $|\xi|$ of $2.4 \times 10^{-15}$, corresponding to a constraint on the dimension 5 standard model extension parameter, $k^{(5)}_{(V)00} \le 4.2 \times 10^{-34}$ GeV$^{-1}$.
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