论文标题
受到冷冻噪声限制的数值随机通货膨胀
Numerical stochastic inflation constrained by frozen noise
论文作者
论文摘要
随机通货膨胀可以解决强大的通货膨胀扰动，这是种子原始黑洞。我提出了一种快速准确的方法，可以在典型的黑洞中计算这些扰动，从而产生单场模型，从而处理超出DE Sitter近似的短波傅立叶模式。模式的挤压和冻结将问题降低到一个维度，可以通过半分析技术和数值重要性采样来有效地解决随机形式的随机方程式新形式，称为“约束随机通货膨胀”。在示例案例中，与先前的研究相比，摄动分布在其非高斯尾巴的深处被深入解决。一路上，我评论动量限制在随机通货膨胀中的作用。
Stochastic inflation can resolve strong inflationary perturbations, which seed primordial black holes. I present a fast and accurate way to compute these perturbations in typical black hole producing single-field models, treating the short-wavelength Fourier modes beyond the de Sitter approximation. The squeezing and freezing of the modes reduces the problem to one dimension, and the resulting new form of the stochastic equations, dubbed `constrained stochastic inflation,' can be solved efficiently with semi-analytical techniques and numerical importance sampling. In an example case, the perturbation distribution is resolved in seconds deep into its non-Gaussian tail, a speed-up of factor $10^9$ compared to a previous study. Along the way, I comment on the role of the momentum constraint in stochastic inflation.
