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 analy...

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Hauptverfasser: Kozlikin, Elena (VerfasserIn) , Lilow, Robert (VerfasserIn) , Fabis, Felix (VerfasserIn) , Bartelmann, Matthias (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 17 June 2021
In: Journal of cosmology and astroparticle physics
Year: 2021, Heft: 6, Pages: 1-32
ISSN:1475-7516
DOI:10.1088/1475-7516/2021/06/035
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1088/1475-7516/2021/06/035
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Verfasserangaben:Elena Kozlikin, Robert Lilow, Felix Fabis and Matthias Bartelmann

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520 |a 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 cannot 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. 
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