论文标题
动力学田地理论：扰动理论超出一级
Kinetic Field Theory: Perturbation theory beyond first order
论文作者
论文摘要
我们介绍了动力场理论（KFT）在惯性Zel'Dovich轨迹中粒子相互作用的扰动处理的最新改善。已经开发了KFT，用于基于微观相位空间动力学的非线性宇宙结构形成的系统分析计算。我们通过得出扩展宇宙中颗粒的相位轨迹的更严格处理来改善对相互作用算子的现有处理。然后，我们通过计算相互作用运算符中二阶的延迟暗物质功率谱的校正来说明如何将这些结果应用于KFT扰动理论。我们发现对相互作用的改良处理W.R.T.与早期结果相比，惯性Zel'Dovich轨迹改善了KFT与中等尺度的模拟结果的一致性。此外，我们说明，与一阶结果相比，包括粒子相互作用到二阶的粒子相互作用会导致非线性功率谱的系统改进。
We present recent improvements in the perturbative treatment of particle interactions in Kinetic Field Theory (KFT) for inertial Zel'dovich trajectories. KFT has been developed for the systematic analytical calculation of non-linear cosmic structure formation on the basis of microscopic phase-space dynamics. We improve upon the existing treatment of the interaction operator by deriving a more rigorous treatment of phase-space trajectories of particles in an expanding universe. We then show how these results can be applied to KFT perturbation theory by calculating corrections to the late-time dark matter power spectrum at second order in the interaction operator. We find that the modified treatment of interactions w.r.t. inertial Zel'dovich trajectories improves the agreement of KFT with simulation results on intermediate scales compared to earlier results. Additionally, we illustrate that including particle interactions up to second order leads to a systematic improvement of the non-linear power spectrum compared to the first-order result.
