论文标题
Quasi de Sitter的量子来源：独立量子宇宙学倾斜
The Quantum Origin of Quasi de Sitter: a Model Independent Quantum Cosmological Tilt
论文作者
论文摘要
通货膨胀宇宙学的最强大预测是，在实验上的曲率波动中存在红色倾斜度，这是$ 0.04 $的实验。倾斜是在准确的安置背景中求解量子波动的精确方程的，该方程由状态方程$ε\ equiv \ equiv \ equiv \ frac {（p+ρ）}ρ$，$ε$ small却不消失。实验数据在不同的定位源充气电位中选择。然而，与倾斜相关的尺度不变性的起源本质上是经典的，并且通过加重电位的缓慢卷来参数。在这里，我们提出了倾斜的纯量子机械和模型独立推导。该推导基于两个基本观察结果：首先，量规变量的相关器与{\ it量子渔民函数}有关，测量纯de安位量真空量对能量量表参数的量子依赖性；其次，该量子Fisher功能具有非消失的量度依赖性红色倾斜度，在物理感兴趣的能量尺度上，符合有效的准灵格预测和实验值。这是一个独立模型的结果，仅基于De Sitter Vacua家族的量子特征。
The most robust prediction of inflationary cosmology is the existence of a red tilt for the spectrum of curvature fluctuations that is experimentally of order $0.04$. The tilt is derived solving the exact equation for quantum fluctuations in a quasi de Sitter background defined by a equation of state $ε\equiv \frac{(p+ρ)}ρ$ with $ε$ small but non vanishing. The experimental data selects among the different quasi de Sitter inflaton potentials. The origin of the lack of scale invariance associated with the tilt is however classical in essence and parametrized by the slow roll of the inflaton potential. Here we present a purely quantum mechanical and model independent derivation of the tilt. This derivation is based on two basic observations: first, the correlator for gauge invariant variables is related to the {\it quantum Fisher function} measuring the quantum dependence of the family of pure de Sitter vacua on the energy scale parameter; second, this quantum Fisher function has a non vanishing scale dependent red tilt that, at the energy scales of physical interest, fits the effective quasi de Sitter prediction as well as the experimental value. This is a result that is model independent and only based on the quantum features of the family of de Sitter vacua.
