论文标题
动力学理论与Eulerian标准扰动理论的首次比较
A first comparison of Kinetic Field Theory with Eulerian Standard Perturbation Theory
论文作者
论文摘要
我们对宇宙大规模结构形成的新开发的基于粒子的动力场理论框架进行了详细比较与Eulerian标准扰动理论的既定形式主义。我们通过对各个运动方程和初始条件的实施方程进行比较分析来强调两种方法的定性差异。自由流程运动学的非交互制度给出了首次定量比较的自然起点。我们的结果表明，动力学理论包含对该制度中标准扰动理论的完整重新调整。我们进一步表明，动力场理论的确切自由流解决方案无法按照标准扰动理论的任何有限顺序恢复。因此，动力场理论应该为非线性结构形成的扰动治疗提供更好的起点。
We present a detailed comparison of the newly developed particle-based Kinetic Field Theory framework for cosmic large-scale structure formation with the established formalism of Eulerian Standard Perturbation Theory. We highlight the qualitative differences of both approaches by a comparative analysis of the respective equations of motion and implementation of initial conditions. A natural starting point for a first quantitative comparison is given by the non-interacting regime of free-streaming kinematics. Our results suggest that Kinetic Field Theory contains a complete resummation of Standard Perturbation Theory in this regime. We further show that the exact free-streaming solution of Kinetic Field Theory can not be recovered in any finite order of Standard Perturbation Theory. Kinetic Field Theory should therefore provide a better starting point for perturbative treatments of non-linear structure formation.
