标题： 量子准德西特的起源：一个独立于模型的量子宇宙学倾斜 显示英文标题

标题： The Quantum Origin of Quasi de Sitter: a Model Independent Quantum Cosmological Tilt

摘要： 通胀宇宙学最稳健的预测是曲率涨落谱存在一个红色倾斜，其实验值约为$0.04$。这种倾斜是从准德西特背景下的量子涨动精确方程中得出的，该背景由状态方程定义 $\epsilon \equiv \frac{(p+\rho)}{\rho}$ 具有$\epsilon$ 小但非零的情况。实验数据在不同的准德西特暴胀子势能中进行了选择。然而，与倾斜相关的标度不变性的缺乏本质上是经典的，并且通过暴胀子势能的慢滚参数化。 在这里，我们提出了一种纯粹的量子力学和模型无关的倾斜推导方法。这一推导基于两个基本观察：首先，规范不变变量的相关函数与测量纯德西特真空能量尺度参数量子依赖性的{\it 量子费舍尔函数}有关；其次，这个量子费舍尔函数具有非零的标度依赖红色倾斜，在物理感兴趣的能标上，它既符合有效的准德西特预测，也符合实验值。 这是一个独立于模型的结果，仅基于德西特真空族的量子特性。 显示英文摘要

摘要： 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 $\epsilon \equiv \frac{(p+\rho)}{\rho}$ with $\epsilon$ 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.