Primordial Black Holes from Polynomial Potentials in Single Field Inflation
Primordial Black Holes from Polynomial Potentials in Single Field Inflation
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DOI：
10.1103/physrevd.97.083509
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发表时间：
2017-12
影响因子：
5
通讯作者：
M. Hertzberg;Masaki Yamada
中科院分区：
文献类型：
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作者：
M. Hertzberg;Masaki Yamada
在正则单场暴胀模型中，我们提供了一种从给定的功率谱进行逆向工程和重建暴胀子势的方法。这不仅是一个有用的工具，从观测约束中找到一个潜在的，但也提供了洞察如何产生一个大振幅尖峰密度扰动，特别是那些可能导致原始黑洞（PBH）。在雅阁与其他作品，我们发现，通常的慢滚条件需要被违反，以产生一个显着的尖峰在频谱中，进入所谓的超慢滚制度。我们发现，一种方法来实现一个非常大的振幅尖峰在单场模型是经典的滚动的暴胀子超过局部最小值在通货膨胀。我们提供了一个五次潜力，实现这一想法，并导致所观察到的光谱指数，所观察到的波动幅度在大尺度上，显着的PBH形成在小尺度上，并与其他观测约束兼容的例子。我们量化了需要多少微调，以实现这一目标，在一个家庭的随机多项式的潜力，这可能是有用的估计PBH形成的概率字符串景观。
Within canonical single field inflation models, we provide a method to reverse engineer and reconstruct the inflaton potential from a given power spectrum. This is not only a useful tool to find a potential from observational constraints, but also gives insight into how to generate a large amplitude spike in density perturbations, especially those that may lead to primordial black holes (PBHs). In accord with other works, we find that the usual slow-roll conditions need to be violated in order to generate a significant spike in the spectrum, entering the so-called ultra-slow-roll regime. We find that a way to achieve a very large amplitude spike in single field models is for the classical roll of the inflaton to over-shoot a local minimum during inflation. We provide an example of a quintic potential that implements this idea and leads to the observed spectral index, observed amplitude of fluctuations on large scales, significant PBH formation on small scales, and is compatible with other observational constraints. We quantify how much fine-tuning is required to achieve this in a family of random polynomial potentials, which may be useful to estimate the probability of PBH formation in the string landscape.