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arXiv 2011.04979astro-ph.CO
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动力学场论:平均场近似下的非线性宇宙功率谱

Kinetic field theory: Non-linear cosmic power spectra in the mean-field approximation

Matthias Bartelmann, Johannes Dombrowski, Sara Konrad, Elena Kozlikin, Robert Lilow, Carsten Littek, Christophe Pixius, Felix Fabis

摘要:

我们使用最近发展的动力学场论(KFT)的宇宙结构的形成,以显示如何在平均场近似的粒子相互作用的宇宙密度波动的非线性功率谱可以计算。我们的主要结果是一个简单的,封闭的和解析的,这个功率谱的近似表达式。该表达式具有表征非线性结构生长的两个参数,其可以在KFT本身内校准。使用这种自校准,非线性功率谱同意从数值模拟中获得的结果,通常$\lesssim10\,\%$内的波数$k\lesssim10\,h\,\mathrm{Mpc}^{-1}$在红移$z = 0$。调整这两个参数以优化与数值模拟的一致性,数值结果的相对差异缩小到通常的$\lesssim 5\,\%$。作为我们的平均场近似的推导的一部分,我们表明,暗物质粒子之间的有效相互作用势相对于泽尔多维奇轨迹是由非线性宇宙密度波动的唯一来源,是近似汤川,而不是牛顿形状。

英文摘要:

We use the recently developed Kinetic Field Theory (KFT) for cosmic structure formation to show how non-linear power spectra for cosmic density fluctuations can be calculated in a mean-field approximation to the particle interactions. Our main result is a simple, closed and analytic, approximate expression for this power spectrum. This expression has two parameters characterising non-linear structure growth which can be calibrated within KFT itself. Using this self-calibration, the non-linear power spectrum agrees with results obtained from numerical simulations to within typically $\lesssim10\,\%$ up to wave numbers $k\lesssim10\,h\,\mathrm{Mpc}^{-1}$ at redshift $z = 0$. Adjusting the two parameters to optimise agreement with numerical simulations, the relative difference to numerical results shrinks to typically $\lesssim 5\,\%$. As part of the derivation of our mean-field approximation, we show that the effective interaction potential between dark-matter particles relative to Zel'dovich trajectories is sourced by non-linear cosmic density fluctuations only, and is approximately of Yukawa rather than Newtonian shape.

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