arXiv 2001.091582020-01-24astro-ph.COhep-phhep-th

暴胀过程中随机粒子产生的曲率扰动

Curvature Perturbations From Stochastic Particle Production During Inflation

Marcos A. G. Garcia, Mustafa A. Amin, Daniel Green

备注：: 68 pages, 23 figures
DOI：: 10.1088/1475-7516/2020/06/039

摘要：

我们计算曲率功率谱来源于观众场，反复激发和非线性膨胀期间。在没有详细信息的观众场的相互作用的性质，我们认为是一个合奏模型之间的重复的相互作用和相互作用的强度从简单的概率分布的间隔。我们发现，系综的每个成员的曲率功率谱显示出丰富的结构与许多功能，并有一个很大的变化之间的不同实现相同的系综。这些特征可以通过宇宙微波背景和大尺度结构观测来探测。它们也可能对原始黑洞的形成和CMB光谱扭曲有影响。观众场的几何随机游走行为使我们能够半解析地计算曲率扰动的整体平均功率谱。对于足够大的随机源，整体平均功率谱显示出的尺度依赖所产生的时间由模式以外的地平线上的粒子生产期间，尽管没有首选的规模在底层模型。我们发现，整体平均功率谱的幅度高估了典型的功率谱在合奏，因为合奏分布的功率谱是高度非高斯与肥尾。

英文摘要：

We calculate the curvature power spectrum sourced by spectator fields that are excited repeatedly and non-adiabatically during inflation. In the absence of detailed information of the nature of spectator field interactions, we consider an ensemble of models with intervals between the repeated interactions and interaction strengths drawn from simple probabilistic distributions. We show that the curvature power spectra of each member of the ensemble shows rich structure with many features, and there is a large variability between different realizations of the same ensemble. Such features can be probed by the cosmic microwave background (CMB) and large scale structure observations. They can also have implications for primordial black hole formation and CMB spectral distortions. The geometric random walk behavior of the spectator field allows us to calculate the ensemble-averaged power spectrum of curvature perturbations semi-analytically. For sufficiently large stochastic sourcing, the ensemble-averaged power spectrum shows a scale dependence arising from the time spent by modes outside the horizon during the period of particle production, in spite of there being no preferred scale in the underlying model. We find that the magnitude of the ensemble-averaged power spectrum overestimates the typical power spectra in the ensemble because the ensemble distribution of the power spectra is highly non-Gaussian with fat tails.

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英文摘要：

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