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Scale dependence of the power spectrum of the curvature perturbation determined using a numerical method in slow-roll inflation

2009/08/05 by Shiro Hirai, Hirai, Shiro, Tomoyuki Takami +1 · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · #Cosmology and Gravitation Theories #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #Geophysics and Gravity Measurements #Solar and Space Plasma Dynamics #astro-ph.CO

paper · pdf · doi:10.48550/arxiv.0908.0585

14 pages, 5 figures, 1 table

arxiv created 2009/08/05 · openalex publication_date 2009/08/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Taylor expansion method has been used to investigate the scale dependence of the power spectrum of the curvature perturbation. In the present study, an alternative numerical method is used to clarify the k dependence. Although there is thought to be no large difference between these two methods, some differences arise among various inflation models. For example, at k = 1 Mpc, there is a 1.4 % difference in the power spectrum, and with respect to the angular power spectrum, the difference of the value of χ2 nearly 10 occur in new inflation. However, in hybrid inflation, these differences do not occur. The time dependence of the inflationary and cosmological parameters is investigated, and differences among inflation models are clarified.

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