Gamma ray burst constraints on ultraviolet Lorentz invariance violation

We present a unified general formalism for ultraviolet Lorentz invariance violation (LV) testing through electromagnetic wave propagation, based on both dispersion and rotation measure data. This allows for a direct comparison of the efficacy of different data to constrain LV. As an example we study the signature of LV on the rotation of the polarization plane of γ-rays from gamma ray bursts in a LV model. Here γ-ray polarization data can provide a strong constraint on LV, 13 orders of magnitude more restrictive than a potential constraint from the rotation of the cosmic microwave background polarization proposed by Gamboa, López-Sarrión, and Polychronakos [J. Gamboa, J. López-Sarrión, A.P. Polychronakos, Phys. Lett. B 634 (2006) 471].