TY  - GEN
ID  - heidok37411
CY  - Heidelberg
N2  - 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.
A1  - Daus, Tristan Raphael
Y1  - 2025///
UR  - https://archiv.ub.uni-heidelberg.de/volltextserver/37411/
TI  - From Koopman-von Neumann to Cosmic Structure
Formation - Path Integral Approach to Classical
Many-Body Systems
AV  - public
ER  -