论文标题
随机通货膨胀中的功率谱
Power spectrum in stochastic inflation
论文作者
论文摘要
我们计算随机通胀中曲率扰动的功率谱。这结合了先前已经研究过的通货膨胀表面的第一个交叉时间的分布与在通货膨胀期间给定量表越过哈勃半径时的田间值的分布，我们显示了如何计算。这允许随机性 - $Δn$形式主义与观测值进行具体接触。作为一种应用，我们研究了小尺度上的量子扩散（例如，在导致原始黑洞的模型中产生）如何影响在宇宙微波背景下观察到的大规模扰动。我们发现，即使那些尺度集良好分离，也可能是由于田间值和波数在通货膨胀结束附近带来的波数之间的经典关系而产生的。这表明，宇宙微波背景测量可以在整个通货膨胀电位上设置明确的约束，直到通货膨胀结束。
We compute the power spectrum of curvature perturbations in stochastic inflation. This combines the distribution of first crossing times through the end-of-inflation surface, which has been previously studied, with the distribution of the fields value at the time when a given scale crosses out the Hubble radius during inflation, which we show how to compute. This allows the stochastic-$δN$ formalism to make concrete contact with observations. As an application, we study how quantum diffusion at small scales (arising e.g. in models leading to primordial black holes) affects the large-scale perturbations observed in the cosmic microwave background. We find that even if those sets of scales are well separated, large effects can arise from the distortion of the classical relationship between field values and wavenumbers brought about by quantum diffusion near the end of inflation. This shows that cosmic microwave background measurements can set explicit constraints on the entire inflationary potential down to the end of inflation.
