Cosmological perturbation theory for large scale structure in phase space

Nascimento, Caio; Loverde, Marilena

doi:10.1088/1475-7516/2025/06/002

Title: Cosmological perturbation theory for large scale structure in phase space

Journal Article · Wed Jun 04 00:00:00 UTC 2025 · Journal of Cosmology and Astroparticle Physics

DOI: https://doi.org/10.1088/1475-7516/2025/06/002 · OSTI ID:3011410

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University of Washington, Seattle, WA (United States)

We develop a framework for Large Scale Structure (LSS) perturbation theory, that solves the Vlasov-Poisson system of equations for the distribution function in full phase space. This approach relaxes the usual apriori assumption of negligible velocity dispersion underlying the Standard Perturbation Theory (SPT). We apply the new method to rederive the usual SPT kernels up to third order in the perturbative expansion. We also show that a counterterm, identical to the one introduced by standard Effective Field Theory (EFT) methods, naturally arises within our framework. We finish by making a precise connection to EFT techniques, which reveals the necessity of the EFTofLSS to self-consistently model the long-wavelength fluid, and illustrates the importance of having theoretical control over short distance fluctuations.

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Research Organization:: University of Washington, Seattle, WA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0011637; SC0023183

OSTI ID:: 3011410

Journal Information:: Journal of Cosmology and Astroparticle Physics, Journal Name: Journal of Cosmology and Astroparticle Physics Journal Issue: 06 Vol. 2025; ISSN 1475-7516

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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Equivalence principle and the baryon acoustic peak Baldauf, Tobias; Mirbabayi, Mehrdad; Simonović, Marko Physical Review D, Vol. 92, Issue 4 https://doi.org/10.1103/PhysRevD.92.043514	journal	August 2015
Dark matter dispersion tensor in perturbation theory Aviles, Alejandro Physical Review D, Vol. 93, Issue 6 https://doi.org/10.1103/PhysRevD.93.063517	journal	March 2016
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Field-level Neural Network Emulator for Cosmological N-body Simulations Jamieson, Drew; Li, Yin; de Oliveira, Renan Alves The Astrophysical Journal, Vol. 952, Issue 2 https://doi.org/10.3847/1538-4357/acdb6c	journal	July 2023

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