论文标题
根据在CMB功率谱中测得的非零K_min的慢速通胀的生存能力
Viability of slow-roll inflation in light of the non-zero k_min measured in the CMB power spectrum
论文作者
论文摘要
缓慢的通货膨胀可能同时解决地平线问题并产生近规模的波动频谱P(K)。这两个过程通过通货膨胀阶段的启动和持续时间密切相关。但是,基于最新的Planck版本的最新研究表明,P(k)具有硬截止,k_min> 0,与此传统图片不一致。在这里,我们定量地证明了大多数 - 也许是 - 慢速通货膨胀模型无法适应这一最小截止。我们表明,在通货膨胀期间,小参数“ epsilon”必须> 0.9才能遵守数据,从而严重违反了缓慢的近似值。具有这种epsilon的模型预测了极端红色光谱指数,与测量值一致。我们还通过在缓慢滚动扩张之前的动力学主导或以辐射为主导的相位添加基本图片(由几个早期工人建议)进行扩展。我们的方法与先前发表的治疗方法有所不同,主要是因为我们要求这些修改不仅符合测得的波动谱,而且还符合 - 同时解决地平线问题。但是,我们表明,即使是这样的衡量标准也排除了地平线问题的关节分辨率和较大角度的缺失相关性。
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.