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arXiv 2106.09275astro-ph.COgr-qchep-th
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具有反反应效应的超慢卷暴胀过程中原初扰动的功率谱

Power spectrum of primordial perturbations during ultra-slow-roll inflation with back reaction effects

Shu-Lin Cheng, Da-Shin Lee, Kin-Wang Ng

摘要:

我们发展了一种非微扰方法,通过Hartree分解研究了在空间平坦的FRW宇宙时空中量子涨落对单场暴胀模型的影响。除了背景场方程和带有量子场涨落修正的Friedmann方程外,还通过引入非零的$Δ_B$项导出了修正的Mukhanov-Sasaki方程.我们考虑宇宙经历慢卷(SR)-超慢卷(USR)-慢卷(SR)暴胀,特别是USR暴胀的存在触发了$Δ_B$的巨大增长,这反过来又对暴胀早期离开视界的模的曲率扰动产生了增强效应。然而,由哈勃参数给出的模式方程中的宇宙摩擦项可能会阻止助推效应。在这里,我们提出了两个代表性的模型来说明这两个相互竞争的条款。

英文摘要:

We develop a nonperturbative method through the Hartree factorization to examine the quantum fluctuation effects on the single-field inflationary models in a spatially flat FRW cosmological space-time. Apart from the background field equation as well as the Friedmann equation with the corrections of quantum field fluctuations, the modified Mukhanov-Sasaki equations for the mode functions of the quantum scalar field are also derived by introducing the nonzero $Δ_B$ term. We consider the Universe undergoing the slow roll (SR)-ultra slow roll (USR) -slow roll (SR) inflation where in particular the presence of the USR inflation triggers the huge growth of $Δ_B$ that in turn gives the boost effects to the curvature perturbations for the modes that leave horizon in the early times of the inflation. However, the cosmic friction term in the mode equation given by the Hubble parameter presumably prohibits the boost effects. Here we propose two representative models to illustrate these two competing terms.

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