大尺度结构的角平均一致性关系
Angular averaged consistency relations of large-scale structures
摘要：
引力成团的宇宙学动力学满足一个关于宇宙学参数的近似不变性，这个近似不变性经常被用来简化分析计算。我们描述了这种近似的对称性如何产生的角度平均一致性关系的物质密度相关性。这使得人们可以写出$(\ell+n)$密度相关性，其中$\ell$大尺度线性波数在角度上积分，而$n$固定小尺度非线性波数，根据小尺度$n$点密度相关性和涉及大尺度波数处的线性功率谱的$\ell$前因子。这些关系对于等时统计并不消失，它们超越了已知的运动学一致性关系。它们可以用来探测原始的非高斯性、引力的修正、星系偏置方案的局限性，或者帮助设计引力集群的分析模型。
英文摘要：
The cosmological dynamics of gravitational clustering satisfies an approximate invariance with respect to the cosmological parameters that is often used to simplify analytical computations. We describe how this approximate symmetry gives rise to angular averaged consistency relations for the matter density correlations. This allows one to write the $(\ell+n)$ density correlation, with $\ell$ large-scale linear wave numbers that are integrated over angles, and $n$ fixed small-scale nonlinear wave numbers, in terms of the small-scale $n$-point density correlation and $\ell$ prefactors that involve the linear power spectra at the large-scale wave numbers. These relations, which do not vanish for equal-time statistics, go beyond the already known kinematic consistency relations. They could be used to detect primordial non-Gaussianities, modifications of gravity, limitations of galaxy biasing schemes, or to help designing analytical models of gravitational clustering.
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