论文标题
超疏水通货膨胀模型中标量光谱的分析近似
An analytical approximation of the scalar spectrum in the ultra-slow-roll inflationary models
论文作者
论文摘要
超流卷（USR）通货膨胀模型在小尺度上预测大振幅标量扰动，这可能导致原始黑洞产生和标量引起的重力波。在USR模型中的一般标量扰动中，只能使用数值方法获得，因为通常的慢滚近近似断裂。在这项工作中，我们提出了一种分析方法来估计标量频谱，这与数值结果一致。我们发现，USR通货膨胀模型在标量光谱和引力波的能量光谱中预测了一个峰值，并且我们从通货膨胀势方面得出了光谱指数的表达。反过来，可以从重力波能谱的负光谱指数重建USR状态附近的通货膨胀势。
The ultra-slow-roll (USR) inflationary models predict large-amplitude scalar perturbations at small scales which can lead to the primordial black hole production and scalar-induced gravitational waves. In general scalar perturbations in the USR models can only be obtained using numerical method because the usual slow-roll approximation breaks. In this work, we propose an analytical approach to estimate the scalar spectrum which is consistent with the numerical result. We find that the USR inflationary models predict a peak with power-law slopes in the scalar spectrum and energy spectrum of gravitational waves, and we derive the expression of the spectral indexes in terms of the inflationary potential. In turn, the inflationary potential near the USR regime can be reconstructed from the negative spectral index of the gravitational wave energy spectrum.
