Superpotential method and the amplification of inflationary perturbations

IF 5 2区物理与天体物理 Q1 Physics and Astronomy Physical Review D Pub Date : 2024-11-06 DOI:10.1103/physrevd.110.104011

Alexander Yu. Kamenshchik, Ekaterina O. Pozdeeva, Augustin Tribolet, Alessandro Tronconi, Giovanni Venturi, Sergey Yu. Vernov

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Abstract

The superpotential method is a reconstruction technique which has proven useful to build exact cosmological solutions. We here employ the superpotential method in order to reconstruct the features necessary for the inflaton potential to drive inflation and lead to the amplification of the curvature perturbations. Such an amplification, at wavelengths shorter than those observed in the cosmic microwave background, is necessary in order to have a significant formation of primordial black holes after inflation ends. The technique is applied to the cases of a minimally coupled inflaton, to the nonminimal coupling case and to

𝑓 (𝑅)

theories of gravity. For such theories, a model dependent analysis of the features leading to the scalar spectrum enhancement is also presented.

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超势能法与通货膨胀扰动的放大

超势方法是一种重建技术，已被证明有助于建立精确的宇宙学解决方案。我们在这里使用超势垒方法来重建推动膨胀并导致曲率扰动放大的inflaton势所必需的特征。这种放大的波长比在宇宙微波背景中观测到的波长要短，是在暴胀结束后大量形成原始黑洞的必要条件。该技术适用于最小耦合的膨胀子、非最小耦合的膨胀子以及𝑓(𝑅)引力理论。对于这类理论，还提出了导致标量谱增强的模型依赖分析。

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来源期刊

Physical Review D 物理-天文与天体物理

CiteScore

9.20

自引率

36.00%

发文量

审稿时长

2 months

期刊介绍： Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics. PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including: Particle physics experiments, Electroweak interactions, Strong interactions, Lattice field theories, lattice QCD, Beyond the standard model physics, Phenomenological aspects of field theory, general methods, Gravity, cosmology, cosmic rays, Astrophysics and astroparticle physics, General relativity, Formal aspects of field theory, field theory in curved space, String theory, quantum gravity, gauge/gravity duality.