title: From Koopman-von Neumann to Cosmic Structure  Formation - Path Integral Approach to Classical  Many-Body Systems
creator: Daus, Tristan Raphael
subject: ddc-530
subject: 530 Physics
description: We develop a functional integral formalism for classical many-body systems based  on the Klimontovich equation, which governs the exact evolution of the N-particle  phase-space density without loss of microscopic information. Since no assumptions  are made on the exact form of the initial state, this formalism is well suited to  describe out-of-equilibrium systems. The formalism is discussed in detail and compared to alternative approaches. Analytical solutions to the tree-level equations for homogeneous systems are presented. Importantly, a first application to cosmic large  scale structure formation is given, and numerical results are discussed. We present  one-loop results for the density fluctuation power spectrum which agree well with  results from numerical simulations and conventional approaches.
date: 2025
type: Dissertation
type: info:eu-repo/semantics/doctoralThesis
type: NonPeerReviewed
format: application/pdf
identifier: https://archiv.ub.uni-heidelberg.de/volltextserver/37411/1/Dissertation_TristanDaus.pdf
identifier: DOI:10.11588/heidok.00037411
identifier: urn:nbn:de:bsz:16-heidok-374119
identifier:   Daus, Tristan Raphael  (2025) From Koopman-von Neumann to Cosmic Structure Formation - Path Integral Approach to Classical Many-Body Systems.  [Dissertation]     
relation: https://archiv.ub.uni-heidelberg.de/volltextserver/37411/
rights: info:eu-repo/semantics/openAccess
rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html
language: eng