Lorentz不变性破坏对γ-γ吸收和康普顿散射的影响
Lorentz Invariance Violation Effects on Gamma-Gamma Absorption and Compton Scattering
摘要：
在本文中，我们考虑了洛伦兹不变性破坏（LIV）对宇宙的$γ-γ$不透明性的VHE-γ射线的影响，相比的影响，局部的不足密度（空隙）的河外背景光，和康普顿散射过程。考虑了光子色散关系的亚光速和超光速修正。在亚腔情况下，LIV效应可能导致能量为$\gtrsim 10$ TeV的光子的$γ-γ$不透明度显著降低。然而，即使考虑到宇宙结构中可能存在的不均匀性，这种效应也不足以解释在100 GeV -几TeV的能量范围内观测到的几个VHE $γ$射线源的明显光谱硬化。超光速的光子色散关系的修改导致EBL $γγ$不透明度的进一步增强。我们认为，第一次，LIV的康普顿散射过程的影响。我们发现，这种效应变得相关的光子在超高能量，$E \gtrsim 1$ PeV。在超光速修改的情况下的光子色散关系，运动学反冲效应和Klein-Nishina抑制的截面减少。然而，我们认为这种效应不太可能具有天体物理学意义。
英文摘要：
In this paper, we consider the impact of Lorentz Invariance Violation (LIV) on the $γ-γ$ opacity of the Universe to VHE-gamma rays, compared to the effect of local under-densities (voids) of the Extragalactic Background Light, and on the Compton scattering process. Both subluminal and superluminal modifications of the photon dispersion relation are considered. In the subluminal case, LIV effects may result in a significant reduction of the $γ-γ$ opacity for photons with energies $\gtrsim 10$ TeV. However, the effect is not expected to be sufficient to explain the apparent spectral hardening of several observed VHE $γ$-ray sources in the energy range from 100 GeV - a few TeV, even when including effects of plausible inhomogeneities in the cosmic structure. Superluminal modifications of the photon dispersion relation lead to a further enhancement of the EBL $γγ$ opacity. We consider, for the first time, the influence of LIV on the Compton scattering process. We find that this effect becomes relevant only for photons at ultra-high energies, $E \gtrsim 1$ PeV. In the case of a superluminal modification of the photon dispersion relation, both the kinematic recoil effect and the Klein-Nishina suppression of the cross section are reduced. However, we argue that the effect is unlikely to be of astrophysical significance.
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