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arXiv 1111.6646astro-ph.COhep-ph
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随机势下的多场暴胀:场维数、特征尺度和非高斯性

Multi-field inflation with random potentials: field dimension, feature scale and non-Gaussianity

Jonathan Frazer, Andrew R Liddle

摘要:

研究了随机产生的多场势中原初密度微扰的两点和三点关联函数的超视界演化。我们使用的运输方法来发展扰动,并给出完整的演化历史的观测。识别单独的宇宙假设是类似于光线的几何描述,我们给出了一个表达式的束的宽度,从而使我们能够监测到绝热极限的演变,以及提供一个有用的手段来理解的行为在$f_NL$。最后,查看我们的随机潜力作为一个玩具模型的通货膨胀的字符串景观,我们建立分布的可观察到的发展轨迹的大量实现的潜力和评论的前景测试这样的模型。我们发现的可观测量的分布是不敏感的领域的数量在2至6的范围内,但这些分布是高度敏感的潜在功能的规模。最敏感的功能的规模是光谱指数,在调查的功能尺度范围内的预测的分散度增加了一个数量级以上。最不敏感的是非高斯参数$f_NL$,这是一贯的小,我们没有发现的实现的例子,其非高斯性是能够观察到的任何计划的实验。

英文摘要:

We explore the super-horizon evolution of the two-point and three-point correlation functions of the primordial density perturbation in randomly-generated multi-field potentials. We use the Transport method to evolve perturbations and give full evolutionary histories for observables. Identifying the separate universe assumption as being analogous to a geometrical description of light rays, we give an expression for the width of the bundle, thereby allowing us to monitor evolution towards the adiabatic limit, as well as providing a useful means of understanding the behaviour in $f_NL$. Finally, viewing our random potential as a toy model of inflation in the string landscape, we build distributions for observables by evolving trajectories for a large number of realisations of the potential and comment on the prospects for testing such models. We find the distributions for observables to be insensitive to the number of fields over the range 2 to 6, but that these distributions are highly sensitive to the scale of features in the potential. Most sensitive to the scale of features is the spectral index, with more than an order of magnitude increase in the dispersion of predictions over the range of feature scales investigated. Least sensitive was the non-Gaussianity parameter $f_NL$, which was consistently small; we found no examples of realisations whose non-Gaussianity is capable of being observed by any planned experiment.

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