论文标题
通货膨胀中量子波动引起的暗能量的空间相关性
Spatial correlations of dark energy from quantum fluctuations in inflation
论文作者
论文摘要
本文包含了一个简单模型的特性的详细研究，该模型试图解释源自通货膨胀中光观众标量场的量子波动。在[1]中，我们最近概述了Starobinsky的随机形式主义如何通过在该模型中通过其量子起源印在暗能量上的空间相关性，我们研究了它们在缓解哈勃张力方面的可能作用。在这里，我们提供了[1]中结果的更全面的推导，并与先前获得的近似结果相比，我们完善了一些估计。在主要结果中，我们分析了通过全场理论处理预测的非偶然相关因子及其与随机形式主义中计算的相关物的关系。我们发现，在随机理论预测显着的次堡相关因子的区域中，它与现场理论预测不同。但是，可以通过引入标量场的声音降低速度来恢复一致性。我们还讨论了直接基于概率分布的演变来研究随机形式主义中相关因子问题的替代方法。我们发现两种方法给出了该领域的2分函数的相同答案，但对于与密度相关器相关的4点函数却没有给出相同的答案，我们讨论了两种方法与Wick定理的行为。
This paper contains a detailed study of the properties of a simple model attempting to explain dark energy as originated from quantum fluctuations of a light spectator scalar field in inflation. In [1] we recently outlined how Starobinsky's stochastic formalism can be used to study the spatial correlations imprinted on dark energy by its quantum origin in this model and we studied their possible role in relieving the Hubble tension. Here we provide a more comprehensive derivation of the results in [1] and we refine some of our estimates, comparing to the approximate results obtained previously. Among the main results, we analyze the non-coincident correlators predicted by a full field theoretical treatment and their relation with those computed within the stochastic formalism. We find that in the region where stochastic theory predicts significant sub-Hubble correlators it is in disagreement with field theoretical predictions. However, agreement can be restored by introducing a reduced speed of sound for the scalar field. We also discuss an alternative approach to the problem of studying correlators within the stochastic formalism based directly on the evolution of probability distributions. We find that the two approaches give the same answer for 2-point functions of the field, but not for 4-point functions relevant to density correlators and we discuss the behaviour of the two methods with respect to Wick's theorem.
