How deep is the dip and how tall are the wiggles in inflationary power spectra?

IF 5.3 2区 物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS
Vadim Briaud, Alexandros Karam, Niko Koivunen, Eemeli Tomberg, Hardi Veermäe and Vincent Vennin
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Abstract

We study linear scalar perturbations in single-field models of inflation featuring a non-attractor phase. These models lead to a peak in the curvature power spectrum that may result in the formation of primordial black holes. We develop a transfer-matrix formalism, analogous to the S-matrix program in quantum-field theory, that maps perturbations throughout the transitory phase. At scales smaller than the peak, the power spectrum features damped oscillations, and the duration of the transition sets the scale at which power-law damping switches to exponential damping. At scales larger than the peak, we demonstrate that a dip appears in the power spectrum if and only if the inflaton's velocity does not flip sign. We show that the amplitude at the dip always scales as the inverse square-rooted amplitude of the peak, and comment on the physical consequences of this universal relationship. We also test the robustness of our results with a few toy models and interpret them with an intuitive mechanical analogy.
膨胀功率谱的下降有多深,波动有多高?
我们研究了具有非吸引子相的膨胀单场模型中的线性标量摄动。这些模型导致曲率功率谱的峰值,这可能导致原始黑洞的形成。我们发展了一种转移矩阵形式,类似于量子场论中的s矩阵程序,它映射了整个过渡阶段的扰动。在小于峰值的尺度上,功率谱表现为阻尼振荡,而过渡的持续时间设定了幂律阻尼转换为指数阻尼的尺度。在比峰值更大的尺度上,我们证明了当且仅当暴胀的速度没有反转符号时,功率谱中出现一个下降。我们证明了倾角的振幅总是以峰值的平方根振幅的倒数来衡量,并评论了这种普遍关系的物理后果。我们还用几个玩具模型测试了结果的稳健性,并用直观的机械类比来解释它们。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Journal of Cosmology and Astroparticle Physics
Journal of Cosmology and Astroparticle Physics 地学天文-天文与天体物理
CiteScore
10.20
自引率
23.40%
发文量
632
审稿时长
1 months
期刊介绍: Journal of Cosmology and Astroparticle Physics (JCAP) encompasses theoretical, observational and experimental areas as well as computation and simulation. The journal covers the latest developments in the theory of all fundamental interactions and their cosmological implications (e.g. M-theory and cosmology, brane cosmology). JCAP''s coverage also includes topics such as formation, dynamics and clustering of galaxies, pre-galactic star formation, x-ray astronomy, radio astronomy, gravitational lensing, active galactic nuclei, intergalactic and interstellar matter.
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