发表机构
National Observatory of Athens; Physics Department, National Technical University of Athens（雅典天文台; 雅典国立技术大学物理系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出一种单场机制，通过高斯-哈特里平均产生方差依赖的势能最小值，动态制备指数平台暴胀的初始条件，并推导出超过60个e-fold的充分条件及可观测信号。
AI 中文摘要
我们提出一种单场机制，该机制动态地准备了指数平台暴胀所需的初始条件。暴胀子被分解为一个粗粒化模式和一个高占据数、近似高斯分布的相对论性非零模式带。对势进行高斯-哈特里平均会产生一个精确依赖于方差的最小值，当激发方差较大时，该最小值将粗粒化场置于平台的高处。在平移不变的微正则测度下，可用的相空间体积指数地集中在该最小值附近，而阶数为1的均匀动能分数则指数地非典型。在膨胀过程中，制备模式像辐射一样红移，σ²∝a⁻²且ρ_χ∝a⁻⁴。尽管诱导的最小值迅速向真空移动，但作用于粗粒化模式上的力受一个指数小的因子约束，从而给出了其速度、位移和动能分数的解析上限。我们推导了后续慢滚e-fold数的一个充分条件，并展示了一个超过60个e-fold的基准例子。该机制还激发了相关的有限起始信号：具有衰减振荡的大尺度功率抑制以及方差卷积双谱。
英文摘要
We propose a single-field mechanism that dynamically prepares the initial conditions required for exponential plateau inflation. The inflaton is decomposed into a coarse-grained mode and a high-occupancy, approximately Gaussian band of relativistic nonzero modes. Gaussian--Hartree averaging of the potential produces an exact variance-dependent minimum, which places the coarse-grained field high on the plateau when the excitation variance is large. Under a translation-invariant microcanonical measure, the available phase-space volume is exponentially concentrated near this minimum, while an order-one homogeneous kinetic-energy fraction is exponentially atypical. During expansion, the preparation modes redshift as radiation, $σ^2\propto a^{-2}$ and $ρ_χ\propto a^{-4}$. Although the induced minimum rapidly moves toward the vacuum, the force acting on the coarse-grained mode is bounded by an exponentially small factor, yielding analytic upper limits on its velocity, displacement, and kinetic fraction. We derive a sufficient condition for the subsequent number of slow-roll e-folds and exhibit a benchmark with more than 60 e-folds. The mechanism also motivates correlated finite-onset signatures: large-scale power suppression with decaying oscillations and a variance-convolution bispectrum.
