对数振荡模型的角关联函数
Angular Correlation Functions for Models with Logarithmic Oscillations
摘要：
对于原始关联函数（例如功率谱），存在几种理论动机，以包含作为同动动量k的对数函数的振荡。虽然这些特征通常在k空间中搜索，但另一种选择是使用角空间;也就是说，搜索观察的方向向量之间的相关性。我们开发的工具，有效地计算基于固定相位近似的角度相关性，并检查几个例子中的原始功率谱，双谱和三谱振荡。我们发现，振荡周期振荡基本上是无特征的，因此难以检测使用标准的相关器，虽然其他可能是可行的。
英文摘要：
There exist several theoretical motivations for primordial correlation functions (such as the power spectrum) to contain oscillations as a logarithmic function of comoving momentum k. While these features are commonly searched for in k-space, an alternative is to use angular space; that is, search for correlations between the directional vectors of observation. We develop tools to efficiently compute the angular correlations based on a stationary phase approximation and examine several example oscillations in the primordial power spectrum, bispectrum, and trispectrum. We find that logarithmically-periodic oscillations are essentially featureless and therefore difficult to detect using the standard correlator, though others might be feasible.
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