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Abstract: We obtain modified dispersion relations by requiring the vanishing ofdeterminant of inverse of modified photon propagators in Lorentz invarianceviolation LIV theory. Inspired by these dispersion relations, we give a moregeneral dispersion relation with less assumption and apply it to the recentobserved gamma-ray burst GRB090510 to extract various constraints on LIVparameters. We find that the constraint on quantum gravity mass is slightlylarger than the Planck mass but is consistent with the other recentobservations, so the corresponding LIV coefficient $\xi 1$ has reached thenatural order $o1$ as one expects. From our analysis, the linear LIVcorrections to photon group velocity might be not excluded yet.



Autor: Zhi Xiao, Bo-Qiang Ma

Fuente: https://arxiv.org/







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