Inflation宇宙における計量ゆらぎのgauge不変な取り扱い
スポンサーリンク
概要
- 論文の詳細を見る
The tiny anisotropies of cosmic microwave background (CMB) originate from geometrical inhomogeneity in the early universe, and such inhomogeneity is considered as a candidate for the origin of structure. In this paper, we strictly treat the geometrical perturbations, which are caused by the quantum fluctuation of scalar fields in the inflationary universe, and look into their evolution under the general relativity. General perturbations are not invariant under the gauge transformation. So in order to manage the freedom of gauge choice, we reconstruct the perturbed Einstein equations from the gauge-invariant quantities. The equation of motion for only metric perturbation is derived from the Einstein equations contained the matter and the geometrical quantity, and can be solved in the limit case. Here, in order to clarify a constraint from the matter to geometry, we calculate the second-order action of gravity and scalar field. Giving attention to this constraint and applying the accelerated-expansion of the universe, we find that the evolution of metric perturbation will "freeze-in" in the midst of inflation, and that its spectrum is determined by potential of scalar field. By comparing with the observation of the CMB anisotropy, in the case of m^2Φ^2 potential, it is concluded that the inflaton mass is ordered-10^<13> GeV, and in the case of λΦ^4 potential, the coupling constant is ordered-10^<-12>, which is very weak. Finally, as a future view, we briefly discuss hybrid inflation model in the context of supersymmetry which seems to play an elementary role in the early universe.
- 東海大学の論文
- 2003-03-30
著者
関連論文
- Inflation宇宙における密度ゆらぎと角パワースペクトラム
- Radiative Corrections in SUSY SO(10) GUT Based on Minimal Supergravity
- 30a-CD-2 ジョージャイ・ヤールスコグ質量行列, SU(5)×Z_と複合クォーク・レプトン(そのII)
- 30a-CD-1 ジョージャイ・ヤールスコグ質量行列, SU(5)×Z_と複合クォーク・レプトン(そのI)
- SU(5)×A_4 Model in Grand Unified Theories
- 2つのカレントを含む反応における和則について(Leptonをprobeとしたhadronの構造,研究会報告)
- Inflation宇宙における計量ゆらぎのgauge不変な取り扱い
- N=2 Landau-Ginzburg模型とトポロジカル・シグマ模型におけるミラー対称性