论文标题
关于原始黑洞的丰度：使用和滥用度量曲率扰动
A Note on the Abundance of Primordial Black Holes: Use and Misuse of the Metric Curvature Perturbation
论文作者
论文摘要
早期宇宙中大波动崩溃的原始黑洞（PBH）的形成是罕见的事件。例如，这表明了形成概率的非高斯尾巴。为了计算这种概率和丰度PBH，经常采用曲率扰动。在本说明中，我们强调其使用不提供正确的PBH形成概率。通过一种路径综合方法，我们表明，PBH丰度的确切计算需要了解曲率扰动的多元关节概率，或者等效于所有相应的连接相关器。
The formation of Primordial Black Holes (PBHs) through the collapse of large fluctuations in the early universe is a rare event. This manifests itself, for instance, through the non-Gaussian tail of the formation probability. To compute such probability and the abundance of PBHs, the curvature perturbation is frequently adopted. In this note we emphasize that its use does not provide the correct PBH formation probability. Through a path-integral approach we show that the exact calculation of the PBH abundance demands the knowledge of multivariate joint probabilities of the curvature perturbation or, equivalently, of all the corresponding connected correlators.
