A first comparison of Kinetic Field Theory with Eulerian Standard
  Perturbation Theory
  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.
