用增长函数δ（a）检验LCDM：电流约束
Testing LCDM with the Growth Function δ(a): Current Constraints
摘要：
我们编制了一个由22个红移范围（0.15，3.8）的数据点组成的数据集，可以用来约束线性扰动增长率f= \frac{d\lnδ}{d\ln a}。这些数据点中的五个直接通过红移扭曲或随红移的功率谱变化来约束增长率f。其余的数据点通过由Ly-α在不同红移处推断的均方根质量涨落σ_8（z）间接地约束f。我们的分析检验了LCDM模型的一致性，并得到Wang-Steinhardt增长指数γ（定义自f=Ω_m^γ）的约束条件为γ=0.67^{+0.20}_{-0.17}。该结果在$1σ$处与LCDM预测的值γ={6/11}=0.55明显一致。我们还将我们的分析应用于LCDM的一个新的零检验，它类似于Chiba和Nakamura（arXiv：0708.3877）最近提出的一个零检验，但不涉及膨胀率$H(z)$的导数.这也导致了LCDM提供了一个很好的拟合当前线性增长数据的事实。
英文摘要：
We have compiled a dataset consisting of 22 datapoints at a redshift range (0.15,3.8) which can be used to constrain the linear perturbation growth rate f=\frac{d\lnδ}{d\ln a}. Five of these data-points constrain directly the growth rate f through either redshift distortions or change of the power spectrum with redshift. The rest of the datapoints constrain f indirectly through the rms mass fluctuation σ_8(z) inferred from Ly-αat various redshifts. Our analysis tests the consistency of the LCDM model and leads to a constraint of the Wang-Steinhardt growth index γ(defined from f=Ω_m^γ) as γ=0.67^{+0.20}_{-0.17}. This result is clearly consistent at $1σ$ with the value γ={6/11}=0.55 predicted by LCDM. A first order expansion of the index γin redshift space leads to similar results.We also apply our analysis on a new null test of LCDM which is similar to the one recently proposed by Chiba and Nakamura (arXiv:0708.3877) but does not involve derivatives of the expansion rate $H(z)$. This also leads to the fact that LCDM provides an excellent fit to the current linear growth data.
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