Implications of stochastic effects for primordial black hole production in ultra-slow-roll inflation
Implications of stochastic effects for primordial black hole production in ultra-slow-roll inflation
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DOI：
10.1088/1475-7516/2022/05/027
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发表时间：
2021-11
影响因子：
6.4
通讯作者：
Daniel G. Figueroa;Sami Raatikainen;S. Räsänen;Eemeli Tomberg
中科院分区：
文献类型：
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作者：
Daniel G. Figueroa;Sami Raatikainen;S. Räsänen;Eemeli Tomberg
利用数值模拟方法研究了超慢卷暴胀中随机噪声对原初黑洞种子产生的影响。我们认为系统的非线性一贯考虑到暴胀子扰动的噪声依赖性，而不断发展的粗粒度的背景受噪声影响的扰动。我们捕捉以这种方式的非马尔可夫性质的动态，并证明非马尔可夫效应是subleading。利用ΔN形式，我们找到了共动曲率扰动的概率分布P（φ）。我们考虑适合CMB并导致PBH暗物质与i）小行星，ii）太阳，或iii）普朗克质量，以及iv）PBH形成超大质量黑洞的种子的暴胀势。我们发现，随机效应增强PBH丰度的一个因素的100（10）-108（108），这取决于PBH的质量。我们还表明，通常的近似，随机踢只取决于哈勃率，要么低估或高估的数量级的丰度，这取决于潜在的。我们评估了结果的规范依赖性，讨论了量子到经典的过渡，并突出了开放的问题的应用程序的随机形式主义USR通货膨胀。
We study the impact of stochastic noise on the generation of primordial black hole (PBH) seeds in ultra-slow-roll (USR) inflation with numerical simulations. We consider the non-linearity of the system by consistently taking into account the noise dependence on the inflaton perturbations, while evolving the perturbations on the coarse-grained background affected by the noise. We capture in this way the non-Markovian nature of the dynamics, and demonstrate that non-Markovian effects are subleading. Using the ΔN formalism, we find the probability distribution P(ℛ) of the comoving curvature perturbation ℛ. We consider inflationary potentials that fit the CMB and lead to PBH dark matter with i) asteroid, ii) solar, or iii) Planck mass, as well as iv) PBHs that form the seeds of supermassive black holes. We find that stochastic effects enhance the PBH abundance by a factor of 𝒪(10)–𝒪(108), depending on the PBH mass. We also show that the usual approximation, where stochastic kicks depend only on the Hubble rate, either underestimates or overestimates the abundance by orders of magnitude, depending on the potential. We evaluate the gauge dependence of the results, discuss the quantum-to-classical transition, and highlight open issues of the application of the stochastic formalism to USR inflation.