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arXiv 1701.04049astro-ph.CO
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大尺度结构的一致性关系:积分Sachs-Wolfe效应和运动学Sunyaev-Zeldovich效应的应用

Consistency relations for large-scale structures: Applications for the integrated Sachs-Wolfe effect and the kinematic Sunyaev-Zeldovich effect

Luca Alberto Rizzo, David F. Mota, Patrick Valageas

摘要:

大尺度结构的一致性关系为压缩极限下宇宙场的互相关提供了精确的非微扰结果。它们只依赖于等价原理和高斯初始条件的假设,并且对于密度场与速度场、动量场或密度场的时间导数的互相关,它们在相同的时刻保持非零。我们将展示如何将这些关系应用到涉及集成的萨克斯-沃尔夫效应或运动学的Sunyaev-Zeldovich效应的观测探测。在压缩极限,这使我们能够表示的三点互相关,或bispectra,两个星系或物质密度场,或弱透镜收敛场,与次级宇宙微波背景(CMB)失真的线性和非线性功率谱的产品。特别是,我们发现,与集成的萨克斯-沃尔夫效应的互相关显示出特定的角度依赖性。这些结果可用于检验等效原理和原始高斯性,或检验大尺度结构的建模。

英文摘要:

Consistency relations of large-scale structures provide exact nonperturbative results for cross-correlations of cosmic fields in the squeezed limit. They only depend on the equivalence principle and the assumption of Gaussian initial conditions, and remain nonzero at equal times for cross-correlations of density fields with velocity or momentum fields, or with the time derivative of density fields. We show how to apply these relations to observational probes that involve the integrated Sachs-Wolfe effect or the kinematic Sunyaev-Zeldovich effect. In the squeezed limit, this allows us to express the three-point cross-correlations, or bispectra, of two galaxy or matter density fields, or weak lensing convergence fields, with the secondary Cosmic Microwave Background (CMB) distortion in terms of products of a linear and a nonlinear power spectrum. In particular, we find that cross-correlations with the integrated Sachs-Wolfe effect show a specific angular dependence. These results could be used to test the equivalence principle and the primordial Gaussianity, or to check the modeling of large-scale structures.

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