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arXiv 0903.0570hep-th
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膜世界宇宙中宇宙学扰动的演化

Evolution of cosmological perturbations in braneworld universes

Mathieu Remazeilles

摘要:

在这篇论文中,我们主要研究了具有任意膨胀历史的Randall-Sundrum膜世界中标量和张量宇宙学扰动的演化。我们采用四维的观点,其中膜上的局域自由度被视为一个开放量子系统耦合到由反德西特($AdS$)体引力子组成的大环境。由于宇宙的非均匀膨胀,膜自由度和体自由度在时间上向前传播时相互作用,导致有效耗散以及膜上观察者的四维观点的非定域性。利用“裸”延迟传播子在膜和延迟传播子在体,我们计算的有效传播子在膜上的“打扮”膜模式通过计算在所有的顺序在膜-体耦合的体反反应的影响。耗散和非局部性被编码到有效膜传播。我们发现各种物质扰动的耗散率膜以及引力子束缚态。其次,我们给出了$AdS$空间中引力子的协变延迟格林函数的显式计算。最后,我们研究了标准宇宙学中CMB透镜的重建问题。我们直接在实空间中构造了一个引力透镜伸缩场和剪切场的统计估计。这里开发的真实空间方法是有用的分析现实的CMB地图包含一个银河切割和可能的许多小切除,以排除点源,不能可靠地减去。

英文摘要:

In this thesis we mainly explore the evolution of both scalar and tensor cosmological perturbations in a Randall-Sundrum braneworld having an arbitrary expansion history. We adopt a four-dimensional perspective in which the localized degrees of freedom on the brane are regarded as an open quantum system coupled to the large environment composed of the Anti-de Sitter ($AdS$) bulk gravitons. Due to the non-uniform expansion of the universe, the brane degrees of freedom and the bulk degrees of freedom interact as they propagate forward in time, leading to an effective dissipation as well as a nonlocality from the four-dimensional point of view of an observer on the brane. Using both the "bare" retarded propagator on the brane and the retarded propagator in the bulk, we compute the effective propagator on the brane for the "dressed" brane modes by resumming the bulk backreaction effects at all order in the brane-bulk coupling. Dissipation and nonlocality are encoded into the effective brane propagator. We find the dissipation rates of various matter perturbations on the brane as well as of the graviton bound state. Next we present an explicit calculation of the covariant retarded Green function for the graviton in $AdS$ space. In the last part, we investigate the reconstruction of CMB lensing in standard cosmology. We construct a statistical estimator of the gravitational lensing dilatation and shear fields directly in real space. The real space method developed here is useful for analysing realistic CMB maps containing a galactic cut and possibly numerous small excisions to exclude point sources that cannot be reliably subtracted.

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