Constraints on Lorentz invariance violation from gamma-ray burst GRB090510

TL;DR

This paper derives modified photon dispersion relations under Lorentz invariance violation (LIV) and uses gamma-ray burst observations to set constraints on LIV parameters, suggesting linear LIV effects are still plausible.

Contribution

It introduces a general dispersion relation for LIV and applies it to GRB090510 data to constrain LIV parameters, with implications for quantum gravity theories.

Findings

Constraint on quantum gravity mass exceeds Planck mass

LIV coefficient $\xi_1$ is of natural order (~1)

Linear LIV corrections to photon velocity remain possible

Abstract

We obtain modified dispersion relations by requiring the vanishing of determinant of inverse of modified photon propagators in Lorentz invariance violation (LIV) theory. Inspired by these dispersion relations, we give a more general dispersion relation with less assumption and apply it to the recent observed gamma-ray burst GRB090510 to extract various constraints on LIV parameters. We find that the constraint on quantum gravity mass is slightly larger than the Planck mass but is consistent with the other recent observations, so the corresponding LIV coefficient $\xi_1$ has reached the natural order ($o(1)$) as one expects. From our analysis, the linear LIV corrections to photon group velocity might be not excluded yet.