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Recently, Bartelmann et al. presented a 'Kinetic Field Theory' (KFT)formalism to tackle the difficulties of large scale structure formation. Inthis approach, the dynamics of a non-equilibrium ensemble of classicalparticles are examined based on methods of statistical field theory. So far,only contributions coming from dark matter were considered, which is assumed topose an accurate description of our universe on very large scales.Nevertheless, going to smaller scales, also baryonic contributions have to betaken into account. Building on the ideas of Viermann et al. we present aneffective particle model of hydrodynamics to describe baryonic matter in acosmological framework. Using this model, the baryonic density contrast powerspectrum is computed to lowest perturbative order within the resummed KFTframework of Lilow et al. We discuss the qualitative differences to the darkmatter case and perform a quantitative comparison to the baryonic spectrumobtained from Eulerian perturbation theory. A subsequent paper will resolve theproblem of coupling both theories describing dark and baryonic matter,respectively, to gain a full model of cosmic matter. Even though our focus ison cosmological systems only, we want to emphasize that all methods presentedhere are of a quite general fashion, making it applicable also to other fields.

Resummed Kinetic Field Theory: Using Mesoscopic Particle Hydrodynamics to Describe Baryonic Matter in a Cosmological Framework