A unified constraint on the Lorentz invariance violation from both short and long GRBs

TL;DR

This paper investigates Lorentz invariance violation using Fermi-detected GRBs, accounting for intrinsic emission delays with a magnetic jet model, and constrains the quantum gravity energy scale to about 10^{20} GeV.

Contribution

It introduces a unified approach to test LIV in both long and short GRBs by incorporating intrinsic emission delays through a magnetic jet model.

Findings

Constraints on LIV imply a quantum gravity scale of ~10^{20} GeV.

Unified analysis for long and short GRBs enhances robustness of LIV limits.

Results support linear dispersion relation consistent with quantum gravity theories.

Abstract

Possible Lorentz invariance violation (LIV) has been investigated for a long time based on observations of GRBs . These arguments relied on the assumption that photons with different energy are emitted at the same place and time. In this work, we try to take account of the intrinsic time delay $\Delta t_{\rm int}$ between emissions of low and high energy photons by using the magnetic jet model. The possible LIV effects are discussed in a unified scenario both for long and short {\it Fermi}-detected GRBs. This leads to a unique quantum gravity energy scale $M_1c^2 \sim 1.0 \times 10^{20}$ GeV respecting the linear dispersion relation.