Kinetic field theory

• Verfasst von: Fabis, Felix [VerfasserIn]
• Verfasst von: Kozlikin, Elena [VerfasserIn]
• Verfasst von: Lilow, Robert [VerfasserIn]
• Verfasst von: Bartelmann, Matthias [VerfasserIn]
• Titel: Kinetic field theory
• Titelzusatz: exact free evolution of Gaussian phase-space correlations
• Verf.angabe: Felix Fabis, Elena Kozlikin, Robert Lilow and Matthias Bartelmann
• E-Jahr: 2018
• Jahr: 26 April 2018
• Umfang: 40 S.
• Fussnoten: Gesehen am 15.04.2020
• Titel Quelle: Enthalten in: Journal of statistical mechanics: theory and experiment
• Ort Quelle: Bristol : IOP Publ., 2004
• Jahr Quelle: 2018
• Band/Heft Quelle: (2018,4) Article: 043214, 40 Seiten
• ISSN Quelle: 1742-5468
• DOI: doi:10.1088/1742-5468/aab850
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1694540561

Abstract

In recent work we developed a description of cosmic large-scale structure formation in terms of non-equilibrium ensembles of classical particles, with time evolution obtained in the framework of a statistical field theory. In these works, the initial correlations between particles sampled from random Gaussian density and velocity fields have so far been treated perturbatively or restricted to pure momentum correlations. Here we treat the correlations between all phase-space coordinates exactly by adopting a diagrammatic language for the different forms of correlations, directly inspired by the Mayer cluster expansion. We will demonstrate that explicit expressions for phase-space density cumulants of arbitrary n-point order, which fully capture the non-linear coupling of free streaming kinematics due to initial correlations, can be obtained from a simple set of Feynman rules. These cumulants will be the foundation for future investigations of perturbation theory in particle interactions.