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Fourier phase analysis of SDSS galaxies

机译：SDSS星系的傅立叶相分析

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摘要

We present a first analysis of the clustering of SDSS galaxies using the distribution function of the sum of Fourier phases over three closed wavevectors. Since the Fourier phases are statistically independent of the Fourier amplitudes, the phase statistics plays a complementary role to the conventional two-point statistics of galaxy clustering. We find that the observed distribution functions of the phase sum are in good agreement with the lowest-order approximation from perturbation theory. From comparison of observations with mock catalogs constructed from N-body simulations, we find that the observed phase correlations for the galaxies within the range of the absolute magnitude, -22 < M-r < -18, agree well with those for A-dominated spatially flat cold dark matter predictions with sigma(8) = 0.9 evolved from the Gaussian initial condition. This agreement implies that the galaxy biasing is approximately linear in redshift space. Instead, assuming that the galaxy biasing is described by a quadratic deterministic function delta(g) = b(1)delta(m) + (b(2)/2)(delta(m)(2)- ) at scale larger than 30 h(-1) Mpc, we find that the resulting b(2)/b(1) is well fitted by b(2)/b(1) = 0.54( +/- 0.06) - 0.62( +/- 0.08) sigma(8) and is almost insensitive to the cosmology and luminosity in those ranges. Indeed, b(2)/b(1) is nearly zero when sigma(8) = 0.9.
机译：我们使用三个闭合波矢上的傅立叶相位总和的分布函数，对SDSS星系的聚类进行了首次分析。由于傅立叶相位在统计上独立于傅立叶振幅，因此相位统计与星系聚类的常规两点统计起着补充作用。我们发现，所观察到的相位和分布函数与微扰理论中的最低阶近似值非常吻合。通过将观测结果与由N体模拟构建的模拟目录进行比较，我们发现，在绝对量级-22 ）在大于30 h（-1）Mpc的范围内，我们发现生成的b（2）/ b（1）很好地拟合为b（2）/ b（1）= 0.54（+/-） 0.06）-0.62（+/- 0.08）sigma（8），并且在那些范围内对宇宙学和光度几乎不敏感。实际上，当sigma（8）= 0.9时，b（2）/ b（1）几乎为零。

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