论文标题
动力场理论：高阶扰动理论
Kinetic Field Theory: Higher-Order Perturbation Theory
论文作者
论文摘要
我们详细说明了动力学田地理论（KFT）的形式主义，重点是可观察到的扰动确定。 KFT是一种基于经典力学的路径积分公式的统计非平衡经典场理论，它采用了在量子场理论背景下开发的强大技术来描述经典系统。与以前在KFT上的工作不同，我们在最后一步中对初始条件的概率分布进行集成。这显着提高了扰动治疗的清晰度，并允许对中间结果的物理解释。我们介绍了一般框架，但专注于交互$ n $ body Systems的应用程序。将结果专门为宇宙结构的形成，我们仅从微观，牛顿粒子动力学的所有尺度上重现了宇宙密度波动功率谱的线性生长。
We give a detailed exposition of the formalism of Kinetic Field Theory (KFT) with emphasis on the perturbative determination of observables. KFT is a statistical non-equilibrium classical field theory based on the path integral formulation of classical mechanics, employing the powerful techniques developed in the context of quantum field theory to describe classical systems. Unlike previous work on KFT, we perform the integration over the probability distribution of initial conditions in the very last step. This significantly improves the clarity of the perturbative treatment and allows for physical interpretation of intermediate results. We give an introduction to the general framework, but focus on the application to interacting $N$-body systems. Specializing the results to cosmic structure formation, we reproduce the linear growth of the cosmic density fluctuation power spectrum on all scales from microscopic, Newtonian particle dynamics alone.
