A new algorithm for calculating the curvature perturbations in stochastic inflation

被引：68

作者：

Fujita, Tomohiro ^{[1
,2
]}

Kawasaki, Masahiro ^{[1
,3
]}

Tada, Yuichiro ^{[1
,2
,4
]}

Takesako, Tomohiro ^{[3
]}

机构：

[1] Univ Tokyo, TODIAS, Kavli Inst Phys & Math Universe, Kashiwa, Chiba 2778583, Japan

[2] Univ Tokyo, Dept Phys, Bunkyo Ku, Tokyo 1130033, Japan

[3] Univ Tokyo, Inst Cosm Ray Res, Kashiwa, Chiba 2778582, Japan

[4] Univ Tokyo, Adv Leading Grad Course Photon Sci ALPS, Tokyo 1130033, Japan

来源：

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS | 2013年 / 12期

关键词：

inflation; physics of the early universe; cosmological perturbation theory; SCALAR FIELD; UNIVERSE; DYNAMICS; HORIZON; COSMOLOGY; FLATNESS; STATE;

D O I：

10.1088/1475-7516/2013/12/036

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We propose a new approach for calculating the curvature perturbations produced during inflation in the stochastic formalism. In our formalism, the fluctuations of the e-foldings are directly calculated without perturbatively expanding the inflaton field and they are connected to the curvature perturbations by the delta N formalism. The result automatically includes the contributions of the higher order perturbations because we solve the equation of motion non-perturbatively. In this paper, we analytically prove that our result (the power spectrum and the nonlinearity parameter) is consistent with the standard result in single field slow-roll inflation. We also describe the algorithm for numerical calculations of the curvature perturbations in more general inflation models.

引用

页数：15

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