膨胀预热中混沌台球的非高斯尖峰
Non-Gaussian Spikes from Chaotic Billiards in Inflation Preheating
摘要：
一类新的非高斯曲率涨落<$pr（\bx）\equiv δN（χ i）产生于非暴胀子场χ i的后暴胀预热行为.其台球般的混沌动力学在预热e折叠的数量N（χ i）中留下规则的对数间隔窄尖峰。我们在分离宇宙近似下对超对称激发的四次暴胀子和耦合势进行了高精度的晶格模拟，计算出N（χ i）作为（近似齐次）初始条件χ i的函数。χ i（\bx）的超视界模导致了π_{pr}的正向尖峰漂移，从而在通常的与符号无关的暴胀引起的微扰上增加了负的引力势涨落，这在大的宇宙结构和（极化的）温度CMB冷点中可观察到。
英文摘要：
A new class of non-Gaussian curvature fluctuations ζ_{pr} (\bx) \equiv δN(χ_i) arises from the post-inflation preheating behaviour of a non-inflaton field χ_i. Its billiard-like chaotic dynamics imprints regular log-spaced narrow spikes in the number of preheating e-folds N(χ_i). We perform highly accurate lattice simulations of SUSY-inspired quartic inflaton and coupling potentials in a separate-universe approximation to compute N(χ_i) as a function of the (nearly homogeneous) initial condition χ_i. The super-horizon modes of χ_i(\bx) result in positive spiky excursions in ζ_{pr} and hence negative gravitational potential fluctuations added to the usual sign-independent inflaton-induced perturbations, observably manifested in large cosmic structures and as (polarized) temperature CMB cold spots.
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