论文标题
探测通货膨胀的初始状态：宇宙相关因子的分析结构
Probing the initial state of inflation: analytical structure of cosmological correlators
论文作者
论文摘要
我们研究了在期望者背景中内在相关函数的分析结构。这项研究的目的是通过磁场波动的相关函数的特征来探测通货膨胀的初始条件，并准确地理解In-In In-In相关器如何对初始状态下的粒子响应。我们强调的是，真空吸尘器的选择和对这些波动的相应粒子解释是灵活的，我们阐明了这种选择在计算水平及其图解解释水平上的作用。除了标准束戴维斯的真空处方外，我们还考虑了几种可能性，并在开始增加激发时追踪极结构的变化。从只有一个粒子到高度激发的状态和特殊情况，例如相干状态。我们说明 - 以连贯的状态为例 - 从缺乏双线性的物理极点结束戴维斯初始状态的微妙之处，鉴于最近的一些文献，这很有趣。具有有限数量激励数量的初始状态会困扰着相位空间中分离出的断开图，我们强调了它们对观察这些信号的影响，以及随着人们开始越来越多地激发越来越多的粒子，情况如何变化。我们还评论了各种初始条件对双光谱挤压极限的含义。这些新的极点结构是混合正和负频率模式的直接结果，这是弯曲空间的特征。特别是，我们详细了解了初始状态重复模式混合结构中的粒子如何。这项研究旨在阐明将量子和经典初始条件联系起来的缺失细节，并加深我们对通货膨胀中相关因子的理解。
We study the analytic structure of in-in correlation functions in a deSitter background. The aim of this study is to probe the initial conditions for inflation through the features of correlation functions of the field fluctuations, and understand precisely how an in-in correlator responds to particles in the initial state. We emphasize that the choice of vacuua and the corresponding particle interpretation for these fluctuations is flexible, and we clarify the role of this choice at the level of calculations and their diagrammatic interpretation. We consider several possibilities aside from the standard Bunch Davies vacuum prescription for the initial state, and trace the change in pole structure as one begins adding excitations; starting from just a single particle, to highly excited states and special cases such as a coherent state. We illustrate - with the example of coherent states - the subtleties in concluding a Bunch Davies initial state from the absence of physical poles in the bispectrum, which is interesting in light of some recent literature. Initial states with a finite number of excitations are plagued with disconnected diagrams isolated in phase space, and we highlight their implications on the observation of these signals, and how the situation changes as one begins to excite more and more particles. We also comment about the implications of various initial conditions on the squeezed limit of the bispectrum. These new pole structures are a direct consequence of mixing of positive and negative frequency modes which is a characteristic of curved spacetimes; in particular, we see in detail how particles in an initial state replicate mode mixing structures. This study aims to clarify the missing details that link quantum and classical initial conditions, and sharpen our understanding of in-in correlators in inflation.
