Constraints on Lorentz invariance violation from gamma-ray burst GRB090510

Zhi Xiao and Bo-Qiang Ma
Phys. Rev. D 80, 116005 – Published 30 December 2009

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 assumptions 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 other recent observations, so the corresponding LIV coefficient ξ1 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.

  • Received 27 September 2009

DOI:https://doi.org/10.1103/PhysRevD.80.116005

©2009 American Physical Society

Authors & Affiliations

Zhi Xiao and Bo-Qiang Ma*

  • School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China

  • *Corresponding author. mabq@phy.pku.edu.cn

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Issue

Vol. 80, Iss. 11 — 1 December 2009

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