Resummed Kinetic Field Theory: general formalism and linear structure
  growth from Newtonian particle dynamics
  In earlier work, we have developed a nonequilibrium statistical field theory
description of cosmic structure formation, dubbed Kinetic Field Theory (KFT),
which is based on the Hamiltonian phase-space dynamics of classical particles
and thus remains valid beyond shell-crossing. Here, we present an exact
reformulation of the KFT framework that allows to resum an infinite subset of
terms appearing in the original perturbative expansion of KFT. We develop the
general formalism of this resummed KFT, including a diagrammatic language for
the resummed perturbation theory, and compute the lowest-order results for the
power spectra of the dark matter density contrast and momentum density. This
allows us to derive analytically how the linear growth of the largest
structures emerges from Newtonian particle dynamics alone, which, to our
knowledge, is the first time this has been achieved.
