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

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

2009-08-05

arxiv.org/abs/0908.0585v1

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

14 pages, 5 figures, 1 table

Scientific paper

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 $\chi^2$ 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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