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arXiv 1604.05970astro-ph.COhep-th
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复杂暴胀物理的简单突现功率谱

Simple emergent power spectra from complex inflationary physics

Mafalda Dias, Jonathan Frazer, M. C. David Marsh

摘要:

利用非平衡随机矩阵理论构造了$N_f$与标量场相互作用的随机标量势系综,并利用它们研究了小场暴胀过程中观测量的产生.对于$N_f={\cal O}({\rm few})$,这些特征明显的标量势产生高度非线性的功率谱,与观测结果不一致。对于$N_f\gg 1$,扰动的超视界演化一般是实质性的,但功率谱大大简化,变得更具预测性,大多数实现都很好地近似于线性功率谱。这提供了一个原理性的证据,证明复杂的暴胀物理可以产生简单的涌现功率谱。我们解释了如何这些结果可以理解的随机矩阵理论的大$N_f$的普遍性。

英文摘要:

We construct ensembles of random scalar potentials for $N_f$ interacting scalar fields using non-equilibrium random matrix theory, and use these to study the generation of observables during small-field inflation. For $N_f={\cal O}({\rm few})$, these heavily featured scalar potentials give rise to power spectra that are highly non-linear, at odds with observations. For $N_f\gg 1$, the superhorizon evolution of the perturbations is generically substantial, yet the power spectra simplify considerably and become more predictive, with most realisations being well approximated by a linear power spectrum. This provides proof of principle that complex inflationary physics can give rise to simple emergent power spectra. We explain how these results can be understood in terms of large $N_f$ universality of random matrix theory.

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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