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arXiv 2006.02510astro-ph.COgr-qchep-ph
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根据CMB功率谱中测量的非零k_min慢卷暴胀的生存性

Viability of slow-roll inflation in light of the non-zero k_min measured in the CMB power spectrum

Jingwei Liu, Fulvio Melia

备注：
13 pages, 4 figures. Accepted for publication in Proceedings of the Royal Society A
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摘要：

慢卷暴胀可以同时解决视界问题并产生接近无标度的波动谱P（k）。这两个过程通过暴胀阶段的开始和持续时间而紧密相连。但最近一项基于普朗克最新发布的研究表明，P（k）有一个硬截止点，k_min > 0，与传统的观点不一致。在这里，我们定量地证明，大多数--也许所有--慢卷通货膨胀模型不能适应这个最低截止。我们表明，小参数“"必须在整个通货膨胀期间，遵守的数据，严重违反慢滚近似> 0.9。具有这样一个指数的模型预测极端的红色光谱指数，与测量值不一致。我们还考虑扩展的基本图片（建议由几个早期的工作者），通过添加一个动力学为主或辐射为主的阶段之前的慢滚膨胀。我们的方法不同于以前发表的治疗主要是因为我们需要这些修改-不仅适合测量的波动谱，但同时也-修复的地平线问题。然而，我们表明，即使这样的措施排除了联合解决的地平线问题和失踪的相关性在大角度。

英文摘要：

Slow-roll inflation may simultaneously solve the horizon problem and generate a near scale-free fluctuation spectrum P(k). These two processes are intimately connected via the initiation and duration of the inflationary phase. But a recent study based on the latest Planck release suggests that P(k) has a hard cutoff, k_min > 0, inconsistent with this conventional picture. Here we demonstrate quantitatively that most---perhaps all---slow-roll inflationary models fail to accommodate this minimum cutoff. We show that the small parameter `epsilon' must be > 0.9 throughout the inflationary period to comply with the data, seriously violating the slow-roll approximation. Models with such an epsilon predict extremely red spectral indices, at odds with the measured value. We also consider extensions to the basic picture (suggested by several earlier workers) by adding a kinetic-dominated or radiation-dominated phase preceding the slow-roll expansion. Our approach differs from previously published treatments principally because we require these modifications to---not only fit the measured fluctuation spectrum, but to simultaneously also---fix the horizon problem. We show, however, that even such measures preclude a joint resolution of the horizon problem and the missing correlations at large angles.

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