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Quantum tunneling in the early universe

早期宇宙中的量子隧道效应

基本信息

批准号：
05640342
负责人：
SASAKI Misao
金额：
$ 1.34万
依托单位：
Osaka University (1995)Kyoto University (1993-1994)
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1993
资助国家：
日本
起止时间：
1993 至 1995
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-05640342/
关键词：
multi-alimensional quantum tunneling Inflationary Universe vacuum phase transition large scale structure of the universe cosmic microwave background anisotropy 宇宙背景輻射の揺らぎ

项目摘要

Quantum tunneling in the early universe such as vacuum phase transition in the inflationary universe is deeply related to the large scale structure of the present universe. In this project, we systematically developed the method to analyze tunneling phenomena in the early universe, taking account of environments that are intrinsic to cosmology.In particular, in connection with the inflationary universe, we succeeded in obtaining the mode functions which describe the false vacuum in the de Sitter background. We then discovered that in order to correctly describe the quantum state inside a vacuum bubble, one must include a set of modes which are not normalizable in the usual sense (the so-called supercurvature modes on hyperbolic space). We have analyzed the effect of the bubble wall fluctuations which also give rise to supercurvature perturbations.Combining these results, we proposed a new inflationary model of the universe ; one-bubble open inflationary universe scenario. Taking account of the effect of the modes described above, as well as the usual continuous modes, on the quantum state inside a vacuum bubble, we investigated the predicted large angle anisotropies of the cosmic microwave background radiation due to these quantum fluctuations and gave constraints to theoretical models. We found our new scenario is a viable one that can successfully explain the large scale structure of the present universe.

早期宇宙中的量子隧穿，如暴胀宇宙中的真空相变，与现今宇宙的大尺度结构有着深刻的联系。在这个项目中，我们系统地发展了分析早期宇宙隧穿现象的方法，并考虑了宇宙学中固有的环境，特别是在暴胀宇宙中，我们成功地获得了描述de Sitter背景下的假真空的模函数。然后我们发现，为了正确描述真空泡内的量子态，必须包含一组在通常意义上不可归一化的模式（所谓的双曲空间上的超曲率模式）。我们分析了引起超曲率扰动的泡壁涨落效应，结合这些结果，提出了一个新的宇宙暴胀模型：单泡开放暴胀宇宙方案。考虑到上述模式以及通常的连续模式对真空泡内量子态的影响，我们研究了由这些量子涨落引起的宇宙微波背景辐射的预测大角度各向异性，并给出了理论模型的约束条件。我们发现我们的新方案是一个可行的方案，可以成功地解释目前宇宙的大尺度结构。