MDR模型中宇宙学扰动的寿命和旅行的原始引力波的前景
Life of cosmological perturbations in MDR models, and the prospect of travelling primordial gravitational waves
摘要：
我们遵循一个通用的原始微扰模式（标量或张量）的修改色散关系（MDR）的生活，因为它的适当的波长被拉伸膨胀。确保行波可以转换为驻波的必要条件是，模式在视界内部深处和在trans-Planckian区域开始其生命，然后随着与其增长波长相对应的光速下降而离开视界，最终在视界之外变成cis-Planckian，并最终在晚些时候重新进入视界。我们发现，标量模式的可观察范围内满足这一条件，从而确保MDR模型在这方面的可行性。对于张量模式，我们发现一个制度，在这种情况下不会发生，但在实践中，它只能实现的波长范围内探测未来的重力波实验，如果量子引力规模经历的重力波下降到PeV范围。在这种情况下，旅行--而不是站立--原始重力波可能是MDR场景的标志。
英文摘要：
We follow the life of a generic primordial perturbation mode (scalar or tensor) subject to modified dispersion relations (MDR), as its proper wavelength is stretched by expansion. A necessary condition ensuring that travelling waves can be converted into standing waves is that the mode starts its life deep inside the horizon and in the trans-Planckian regime, then leaves the horizon as the speed of light corresponding to its growing wavelength drops, to eventually become cis-Planckian whilst still outside the horizon, and finally re-enter the horizon at late times. We find that scalar modes in the observable range satisfy this condition, thus ensuring the viability of MDR models in this respect. For tensor modes we find a regime in which this does not occur, but in practice it can only be realised for wavelengths in the range probed by future gravity wave experiments if the quantum gravity scale experienced by gravity waves goes down to the PeV range. In this case travelling---rather than standing---primordial gravity waves could be the tell-tale signature of MDR scenarios.
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