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arXiv 0909.4927hep-phastro-ph.COastro-ph.HEgr-qchep-th
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伽马射线暴GRB090510破坏Lorentz不变性的约束条件

Constraints on Lorentz invariance violation from gamma-ray burst GRB090510

Zhi Xiao, Bo-Qiang Ma

摘要:

在洛伦兹不变性破坏(LIV)理论中,通过要求修正的光子传播子的逆的行列式为零,得到了修正的色散关系。受这些色散关系的启发,我们给出了一个更一般的色散关系,并将其应用到最近观测到的伽马射线暴GRB 090510中,提取了LIV参数的各种约束条件。我们发现量子引力质量的约束比普朗克质量稍大,但与最近的观测结果一致,因此相应的LIV系数$ξ_1$达到了预期的自然阶数($o(1)$).从我们的分析来看,光子群速度的线性LIV修正可能还没有被排除。

英文摘要:

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 $ξ_1$ 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.

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