Resummed Kinetic Field Theory: general formalism and linear structure growth from Newtonian particle dynamics

Abstract

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.

arXiv comment32 pages, 3 figures; changes in v2: improved motivation of the loop expansion scheme, improved discussion of the small-scale behaviour of the power spectrum, changed Figure 2, minor corrections in the remaining manuscript; content matches published version

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Cited by in corpus (16)

• Cosmic Structure Formation with Kinetic Field Theory
• Cosmological perturbations for two cold fluids in $\Lambda$CDM
• Cosmological Vlasov-Poisson equations for dark matter: Recent developments and connections to selected plasma problems
• Improving precision and accuracy in cosmology with model-independent spectrum and bispectrum
• A first comparison of Kinetic Field Theory with Eulerian Standard Perturbation Theory
• Kinetic Field Theory for Cosmic Structure Formation
• Resummed Kinetic Field Theory: Using Mesoscopic Particle Hydrodynamics to Describe Baryonic Matter in a Cosmological Framework
• Gravitational Turbulence: the Small-Scale Limit of the Cold-Dark-Matter Power Spectrum
• Kinetic Field Theory: Perturbation theory beyond first order
• Resummed Kinetic Field Theory: a model of coupled baryonic and dark matter
• A model-independent measurement of the expansion and growth rates from BOSS using the FreePower method
• Kinetic Field Theory: Higher-Order Perturbation Theory
• Cosmic structure from the path integral of classical mechanics and its comparison to standard perturbation theory
• Baryon-photon interactions in Resummed Kinetic Field Theory
• Phase-space perturbation theory for cosmic large-scale structure
• Free Cosmic Density Bispectrum on Small Scales