论文标题

审查通货膨胀随机方法

Review on stochastic approach to inflation

论文作者

Cruces, Diego

论文摘要

我们对数学框架的最新框架进行了评论,称为随机通货膨胀,特别关注其推导,并为对读者的参考提供了对来自随机框架在不同通货膨胀场景中应用的结果感兴趣的读者,尤其是对原始黑洞形成感兴趣的读者。在随机形式主义的推导过程中,我们将特别强调两个方面:单独的宇宙方法与标量不均匀性的真实长波长极限与随机方程中出现的噪声的一般非马克维亚性质之间的差异。

We present a review on the state-of-the-art of the mathematical framework known as stochastic inflation, paying special attention to its derivation and giving references for the readers interested on results coming from the application of the stochastic framework to different inflationary scenarios, especially to those of interest for primordial black hole formation. During the derivation of the stochastic formalism, we will emphasise two aspects in particular: the difference between the separate universe approach and the true long wavelength limit of scalar inhomogeneities and the generically non-Markovian nature of the noises that appear in the stochastic equations.

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