论文标题
部分可观测时空混沌系统的无模型预测
A weak lensing perspective on nonlinear structure formation with fuzzy dark matter
论文作者
论文摘要
我们从弱透镜的角度使用扰动方法研究了模糊暗物质（FDM）模型中的非线性结构形成。我们将欧拉摄动理论（PT）最多使用第四顺序来计算树级物质三谱以及一环的一环物质光谱和Biseptrum，并从一贯选择的初始条件中。此外，我们使用具有CDM和FDM初始条件的$ n $体型模拟预测非线性物质功率谱。在欧几里得般的弱透镜调查的背景下，我们继续在CDM和FDM中得出各自的镜头光谱，双光谱和三角谱。最后，我们计算可实现的累积信噪比，以及可将$χ^2 $ functionals估算，以将FDM与CDM与粒子质量区分开，$ M = 10^{ - 21} $ M = 10^{ - 21} $ M = 10^{ - 22}} $ EV和$ M = 10^{ - 23^{ - 23} { - 23} $ ev。我们发现，PT预测不能用于可靠地区分弱镜头调查中的三个模型。假设$ n $ body模拟高估了FDM模型中的晚期小规模功率，则可以使用未来的弱镜头调查来区分FDM和CDM案例，最高为$ M = 10^{ - 23} $ ev。但是，探测本地高$ z $宇宙的观察结果可能更适合限制FDM质量。
We investigate nonlinear structure formation in the fuzzy dark matter (FDM) model in comparison to cold dark matter (CDM) models from a weak lensing perspective using perturbative methods. We use Eulerian perturbation theory (PT) up to fourth order to compute the tree-level matter trispectrum and the one-loop matter spectrum and bispectrum from consistently chosen initial conditions. In addition, we predict the non-linear matter power spectra using $N$-body simulations with CDM and FDM initial conditions. We go on to derive the respective lensing spectra, bispectra and trispectra in CDM and FDM in the context of a Euclid-like weak lensing survey. Finally, we compute the attainable cumulative signal-to-noise ratios and an estimate of the attainable $χ^2$-functionals for distinguishing FDM from CDM at particle masses $m=10^{-21}$ eV, $m = 10^{-22}$ eV and $m = 10^{-23}$ eV. We find that PT predictions cannot be used to reliably distinguish the three models in a weak lensing survey. Assuming that $N$-body simulations overestimate the late-time small-scale power in the FDM model, future weak lensing survey might be used to distinguish between the FDM and CDM cases up to a mass of $m = 10^{-23}$ eV. However, observations probing the local high-$z$ universe are probably more suited to constrain the FDM mass.
