非最小耦合暴胀模型所致微波背景辐射失真及其量子涨落高阶效应

At present, the observations of anisotropies of cosmic microwave background (CMB) and inhomogeneities of large scale structure (LSS) provide strong evidence for cosmic inflation. And more data is anticipated from future observations of e.g. B-mode polarization, 21cm radiation and CMB distortions during the coming decades. On the other hand, inflation scenarios with non-minimally coupling have been widely studied, since they can be consistent well with current data. However, based on these models, there are few researches on forecasting the future observations of 21cm radiation and CMB distortions. In this project, we will study the effect on CMB distortions experiments caused by the non-minimally derivative coupling term, by calculating the level of CMB distortions, and comparing it with the sensitivities of the PIXIE and PRISM experiments. Besides, we intend to extend the dynamical field method to investigate the loop corrections of scalar fluctuations in non-minimally derivative coupled inflation, that may be observed within 21cm radiation at high z.

近年来，标量场动能项与引力非最小耦合的宇宙暴胀模型受到广泛的关注，它们能很好的与现有的微波背景辐射的各向异性和大尺度结构分布的非均匀性观测相符合。目前，对此类暴胀模型在未来的21cm辐射和微波背景辐射失真等实验中，所可能观测到的信号的研究却并不多见。故而在本项目中，我们将计算具有非最小耦合项的暴胀模型所导致的微波背景辐射失真的信号的强度，与已提案的PIXIE和PRISM实验项目的探测精度进行对比，确定非最小耦合相互作用对微波背景辐射失真实验观测的影响。此外，我们还将进一步发展场论方法，用于计算具有非最小耦合项的暴胀模型中标量量子涨落的高阶效应，而后讨论它对高红移区域的21cm辐射信号的影响。

近年来，标量场动能项与引力非最小耦合的宇宙暴胀模型受到广泛的关注，它们能很好的与现有的微波背景辐射的各向异性和大尺度结构分布的非均匀性等观测相符合。未来的微波背景辐射失真和21cm辐射等实验，有可能获得相应的观测信号，有助于确定这类模型的参数取值。在本项目中，我们更正了前人工作中对最小耦合暴胀导致微波背景辐射失真的错误结果，并计算了49种单场暴胀模型在非最小耦合的情况下导致的微波背景辐射失真效应。此外，我们还进一步发展场论方法，计算了具有非最小耦合项的标量场在de Sitter时空中的高阶量子涨落。

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