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arXiv 1409.7399hep-thastro-ph.COgr-qc
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单场暴胀中的反作用和随机效应

Backreaction and Stochastic Effects in Single Field Inflation

Laurence Perreault Levasseur, Evan McDonough

摘要:

随机暴胀理论是分析宇宙学扰动的逆反应,对暴胀观测量进行精确预言的有力工具。我们证明了这一点与简单的$m^2ϕ^2$模型的通货膨胀,其中我们获得了一个有效场论的IR模式的暴胀,这仍然是通过一个经典的噪声耦合到UV模式。我们计算慢滚校正UV模式的演变(即量子波动),并跟踪这种效果从UV理论的IR理论,在那里它表现为一个校正的经典噪声。我们计算的随机校正原始扰动的谱指数,找到一个小的影响,并讨论模型中,这种影响可以变得很大。我们扩展我们的分析张量模式,并表明,随机方法允许我们恢复标准张量倾斜$n_T$,加上修正。

英文摘要:

The formalism of stochastic inflation is a powerful tool for analyzing the backreaction of cosmological perturbations, and making precise predictions for inflationary observables. We demonstrate this with the simple $m^2ϕ^2$ model of inflation, wherein we obtain an effective field theory for IR modes of the inflaton, which remains coupled to UV modes through a classical noise. We compute slow-roll corrections to the evolution of UV modes (i.e. quantum fluctuations), and track this effect from the UV theory to the IR theory, where it manifests as a correction to the classical noise. We compute the stochastic correction to the spectral index of primordial perturbations, finding a small effect, and discuss models in which this effect can become large. We extend our analysis to tensor modes, and demonstrate that the stochastic approach allows us to recover the standard tensor tilt $n_T$, plus corrections.

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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