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arXiv 0710.5342hep-thgr-qc
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随机引力中的宇宙学密度涨落--形式主义和线性分析

Cosmological Density Fluctuations in Stochastic Gravity -- Formalism and Linear Analysis --

Yuko Urakawa, Kei-ichi Maeda

摘要:

本文基于随机引力理论研究暴胀子量子涨落产生的原初微扰。在对暴胀子场自由度积分的基础上,分析了树水平上曲率微扰的关联函数随时间的演化,并与规范不变线性微扰理论的预言进行了比较.我们发现,如果从视界穿越时间的e-折叠小于某个临界值($\sim |$慢滚参数$|^{-1}$),这是观察到的宇宙结构的尺度的情况下,我们的结果与规范不变的微扰理论相吻合。然而,在超视界尺度的限制下,我们发现曲率扰动的差异,这表明,我们应该包括纵向部分的引力场的量子化的标量场,即使在随机引力。

英文摘要:

We study primordial perturbations generated from quantum fluctuations of an inflaton based on the formalism of stochastic gravity. Integrating out the degree of freedom of the inflaton field, we analyze the time evolution of the correlation function of the curvature perturbation at tree level and compare it with the prediction made by the gauge-invariant linear perturbation theory. We find that our result coincides with that of the gauge-invariant perturbation theory if the e-folding from the horizon crossing time is smaller than some critical value ($\sim |$slow-roll parameter $|^{-1}$), which is the case for the scales of the observed cosmological structures. However, in the limit of the superhorizon scale, we find a discrepancy in the curvature perturbation, which suggests that we should include the longitudinal part of the gravitational field in the quantization of a scalar field even in stochastic gravity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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