Author(s)
| Ellis, John (King's Coll. London ; CERN) ; Konoplich, Rostislav (New York U. (main) ; Manhattan Coll., Riverdale) ; Mavromatos, Nikolaos E. (King's Coll. London ; U. Valencia (main)) ; Nguyen, Linh (Manhattan Coll., Riverdale) ; Sakharov, Alexander S. (New York U. (main) ; Manhattan Coll., Riverdale ; CERN) ; Sarkisyan-Grinbaum, Edward K. (CERN ; Texas U., Arlington (main)) |
Abstract
| Models of quantum gravity suggest that the vacuum should be regarded as a medium with quantum structure that may have non-trivial effects on photon propagation, including the violation of Lorentz invariance. Fermi Large Area Telescope (LAT) observations of gamma-ray bursts (GRBs) are sensitive probes of Lorentz invariance, via studies of energy-dependent timing shifts in their rapidly-varying photon emissions. In this paper we analyze the Fermi-LAT measurements of high-energy gamma rays from GRBs with known redshifts, allowing for the possibility of energy-dependent variations in emission times at the sources as well as a possible non-trivial refractive index in vacuo for photons. We use statistical estimators based on the irregularity, kurtosis and skewness of bursts that are relatively bright in the 100 MeV to multi-GeV energy band to constrain possible dispersion effects during propagation. We find that the energy scale characterizing a linear energy dependence of the refractive index should exceed a few $\times 10^{17}$ GeV, and we estimate the sensitivity attainable with additional future sources to be detected by Fermi-LAT. |