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arXiv 0901.0549astro-ph.COgr-qchep-phhep-th
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宇宙标准模型中的有效暴胀理论与CMB + LSS数据分析

The Effective Theory of Inflation in the Standard Model of the Universe and the CMB+LSS data analysis

D. Boyanovsky, C. Destri, H. J. de Vega, N. G. Sanchez

备注：
Review article, 134 pages, 41 figures. Int. J. Mod. Phys. A24, 3669-3864 (2009). A few last improvements
发表信息：
Int.J.Mod.Phys.A24:3669-3864,2009
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摘要：

暴胀是宇宙标准模型的一部分，由CMB和大尺度结构LSS数据集支持。本文分三章介绍了通货膨胀的新发展。(I)Ginsburg-Landau（GL）的有效暴胀理论：暴胀子势是一个具有普适形式的多项式，它明确了暴胀能量标度M、普朗克质量和暴胀e-折叠数N ~ 60。慢滚膨胀变成系统的1/N膨胀，暴胀子耦合自然小到（M/ M_{Pl}）^2的幂。谱指数（ns- 1）和张量/标量涨落比r为O（1/N），运行指数为O（1/N^2）。M ~ 0.7 10^{16} GeV完全由标量绝热涨落幅度决定。(II)：CMB+LSS数据的蒙特卡罗马尔可夫链（MCMC）分析（包括WMAP 5）与我们的分析理论结果产生：一个下界r（新通货膨胀）：r > 0.023（95%CL），r > 0.046（68%CL）;优选的暴胀势是双势阱，是场的偶函数，其最可几值为n_s ~ 0.964，r ~ 0.051。这一r值在CMB即将观测到的范围之内。慢卷暴胀一般在短的快卷阶段之前，这导致CMB四极的抑制。对WMAP+SDSS数据的MCMC分析表明，快速滚动很好地拟合了TT、TE和EE模式，再现了四极抑制，并将暴胀的总次数固定为N_{total} ~ 64。(III)量子环修正很小，且受（H / M_{Pl}）^2 ~ 10^{-9}的幂控制，验证了暴胀理论的有效性.我们展示了如何强大的是GL理论的通货膨胀在预测可观。

英文摘要：

Inflation is part of the Standard Model of the Universe supported by CMB and large scale structure LSS datasets. This review presents new developments of inflation in three main chapters. (I): The effective theory of inflation a la Ginsburg-Landau (GL): the inflaton potential is a polynomial with universal form making explicit the inflation energy scale M, the Planck mass and the inflation e-folds number N ~ 60. The slow-roll expansion becomes a systematic 1/N expansion and the inflaton couplings are naturally small as powers of (M/M_{Pl})^2. The spectral index (n_s - 1) and the ratio of tensor/scalar fluctuations r are O(1/N), the running index is O(1/N^2). M ~ 0.7 10^{16} GeV is completely determined by the scalar adiabatic fluctuations amplitude. (II): A Monte Carlo Markov Chains (MCMC) analysis of the CMB+LSS data (including WMAP5) with our analytic theoretical results yields: a lower bound for r (new inflation): r > 0.023 (95%CL), r > 0.046 (68%CL); the preferred inflation potential is a double well, even function of the field yielding as most probable values n_s ~ 0.964, r ~ 0.051. This value for r is within reach of forthcoming CMB observations. Slow-roll inflation is generically preceded by a short fast-roll stage which leads to a suppression of the CMB quadrupoles. MCMC analysis of the WMAP+SDSS data shows that fast-roll fits the TT, TE and EE modes well reproducing the quadrupole suppression and fixes the total number of efolds of inflation to be N_{total} ~ 64. (III) Quantum loop corrections are very small and controlled by powers of (H /M_{Pl})^2 ~ 10^{-9} which validates the effective theory of inflation. We show how powerful is the GL theory of inflation in predicting observables.

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