The Numerical Treatment of Inflationary Models
The Numerical Treatment of Inflationary Models
复制标题
通货膨胀模型的数值处理
DOI：
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发表时间：
2007
期刊：
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通讯作者：
C. Ringeval
中科院分区：
文献类型：
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作者：
C. Ringeval
CMB最近的测量达到的精度为我们提供了对宇宙微扰的原始功率谱形状的新见解。在膨胀宇宙学的背景下，这意味着CMB的数据现在对膨胀子势的形式很敏感。目前致力于推导暴涨原始功率谱或研究暴胀势重建问题的大多数方法，都依赖于可能不适用于奇异模型的近似分析处理。在本文中，我们数值求解背景和所有扰动量的暴涨演化，以准确提取原始功率谱。这种方法完全依赖于广义相对论和线性微扰理论。除了提供测试分析近似的工具之外，人们还可以考虑将非标准通胀模型视为涉及几个领域的模型，最终与重力非最小耦合。通过在单场模式下分析WMAP第三年的数据，说明了精确数值方法在处理CMB数据方面的有效性。为此，我们引入了一个新的与通货膨胀相关的参数来编码再热时代的基本性质。这个再加热参数具有显著的可观察效应，并提供了对通胀模型的自洽检验。作为应用实例，给出了与小场模型相关的再加热和势能参数的边际概率分布。评论：33页，12个数字。更正了印刷错误并添加了参考文献。将在第22届IAP学术讨论会上发表
The precision reached by the recent CMB measurements gives new insights into the shape of the primordial power spectra of the cosmological perturbations. In the context of inflationary cosmology, this implies that the CMB data are now sensitive to the form of the inflaton potential. Most of the current approaches devoted to the derivation of the inflationary primordial power spectra, or to the inflaton potential reconstruction problem, rely on approximate analytical treatments that may break down for exotic models. In this article, we numerically solve the inflationary evolution of both the background and all the perturbed quantities to extract the primordial power spectra exactly. Such a method solely relies on General Relativity and linear perturbation theory. More than providing a tool to test analytical approximations, one may consider, without complications, the treatment of non-standard inflationary models as those involving several fields, eventually non-minimally coupled to gravity. The usefulness of the exact numerical approach to deal with CMB data is illustrated by analysing the WMAP third year data in the context of single field models. For this purpose, we introduce a new inflationary related parameter encoding the basic properties of the reheating era. This reheating parameter has significant observable effects and provides a self-consistency test of inflationary models. As a working example, the marginalised probability distributions of the reheating and potential parameters associated with the small field models are presented. Comment: 33 pages, 12 figures. Misprints corrected and references added. To be published in the proceedings of 22nd IAP Colloquium