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arXiv 1002.1130astro-ph.COgr-qchep-th
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非正则标量场二阶宇宙学扰动中的模糊性

Ambiguities in second-order cosmological perturbations for non-canonical scalar fields

Corrado Appignani, Roberto Casadio, S. Shankaranarayanan

摘要:

在过去的几年里,人们意识到非正则标量场可以导致早期宇宙的加速膨胀。在这些场景中的原始光谱不仅显示出与CMB观测一致的近尺度不变性,而且还显示出大的原始非高斯性。二阶微扰理论是研究这种非高斯性的主要理论工具。然而,仍然不确定哪些量是二阶规范不变的,因此它们的物理理解仍然不清楚。作为理解二阶量的一种尝试,我们考虑一个一般的非正则标量场,最低限度地耦合到重力,在未扰动的FRW背景下,度量波动被忽略的先验。在这个简化的设置,我们表明,出现在物理相关的量,如扰动的有效速度的表达式的模糊性。此外,应力张量和能量密度显示出潜在的不稳定性,这是不存在的线性顺序。

英文摘要:

Over the last few years, it was realised that non-canonical scalar fields can lead to the accelerated expansion in the early universe. The primordial spectrum in these scenarios not only shows near scale-invariance consistent with CMB observations,but also large primordial non-Gaussianity. Second-order perturbation theory is the primary theoretical tool to investigate such non-Gaussianity. However, it is still uncertain which quantities are gauge-invariant at second-order and their physical understanding therefore remains unclear. As an attempt to understand second order quantities, we consider a general non-canonical scalar field, minimally coupled to gravity, on the unperturbed FRW background where metric fluctuations are neglected a priori. In this simplified set-up, we show that there arise ambiguities in the expressions of physically relevant quantities, such as the effective speeds of the perturbations. Further, the stress tensor and energy density display a potential instability which is not present at linear order.

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