Kinetic field theory

• Verfasst von: Heisenberg, Lavinia [VerfasserIn]
• Verfasst von: Hemmatyar, Shayan [VerfasserIn]
• Verfasst von: Zentarra, Stefan [VerfasserIn]
• Titel: Kinetic field theory
• Titelzusatz: higher-order perturbation theory
• Verf.angabe: Lavinia Heisenberg and Shayan Hemmatyar, Institute for Theoretical Physics, Heidelberg University, Stefan Zentarra, Institute for Theoretical Physics, ETH Zurich
• E-Jahr: 2022
• Jahr: 12 September 2022
• Umfang: 35 S.
• Fussnoten: Gesehen am 25.09.2023
• Titel Quelle: Enthalten in: Physical review
• Ort Quelle: Ridge, NY : American Physical Society, 2016
• Jahr Quelle: 2022
• Band/Heft Quelle: 106(2022), 6, Artikel-ID 063513, Seite 1-35
• ISSN Quelle: 2470-0029
• DOI: doi:10.1103/PhysRevD.106.063513
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1860264077

Abstract

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