Kinetic field theory: Higher-order perturbation theory

We give a detailed exposition of the formalism Kinetic Field Theory (KFT) with emphasis on perturbative determination observables. KFT is statistical non-equilibrium classical field theory based path integral formulation mechanics, employing powerful techniques developed in context quantum to describe systems. Unlike previous work KFT, we perform integration over probability distribution initial conditions very last step. This significantly improves clarity treatment and allows for physical interpretation intermediate results. an introduction general framework, but focus application interacting $N$-body Specializing results cosmic structure formation, reproduce linear growth density fluctuation power spectrum all scales from microscopic, Newtonian particle dynamics alone.