Cosmic structure from the path integral of classical mechanics and its comparison to standard perturbation theory
We investigate cosmic structure formation in the framework of a path-integral formulation of an 𝑁-particle ensemble in phase space, dubbed resummed kinetic field theory (RKFT), up to one-loop perturbative order. In particular, we compute power spectra of the density contrast, the divergence and curl...
Guardado en:
| Autores principales: | , , |
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| Formato: | Article (Journal) |
| Lenguaje: | inglés |
| Publicado: |
9 February, 2026
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| In: |
Physical review
Year: 2026, Volumen: 113, Número: 4, Pages: 1-16 |
| ISSN: | 2470-0029 |
| DOI: | 10.1103/3mwp-26wz |
| Acceso en línea: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/3mwp-26wz Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/3mwp-26wz 
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| Notas de Autor: | Marvin Sipp, Hannes Heisler, and Matthias Bartelmann |
| Sumario: | We investigate cosmic structure formation in the framework of a path-integral formulation of an 𝑁-particle ensemble in phase space, dubbed resummed kinetic field theory (RKFT), up to one-loop perturbative order. In particular, we compute power spectra of the density contrast, the divergence and curl of the momentum density and arbitrary 𝑛-point cumulants of the stress tensor. In contrast to earlier works, we propose a different method of sampling initial conditions, with a Gaussian initial phase-space density. Doing so, we exactly reproduce the corresponding results from Eulerian standard perturbation theory (SPT) at one-loop order, showing that formerly found deviations can be fully attributed to inconsistencies in the previous sampling method. Since, in contrast to SPT, the full phase-space description does not assume a truncation of the Vlasov hierarchy, our findings suggest that nonperturbative techniques are required to accurately capture the physics of cosmic structure formation. |
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| Notas: | Gesehen am 29.04.2026 |
| Descripción Física: | Online Resource |
| ISSN: | 2470-0029 |
| DOI: | 10.1103/3mwp-26wz |