Constructing regularized cosmic propagators

2011/12/31 by Francis Bernardeau, M. Crocce, Martin Crocce +2 · 77 citations
Mathematics · Physics and Astronomy · #Algorithm #Applied mathematics #Astrophysics #Astrophysics and Cosmic Phenomena #Bispectrum #COSMIC cancer database #Computation #Computer science #Context (archaeology) #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #Gaussian #Matching (statistics) #Mathematical physics #Mathematics #Particle physics #Perturbation theory (quantum mechanics) #Physics #Point (geometry) #Propagator #Quantum mechanics #Statistical physics #Theoretical physics #Unobservable #astro-ph.CO #hep-th

paper · pdf · doi:10.1103/physrevd.85.123519

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 85(12) (American Physical Society) · 21 pages, 14 figures. v2: corrections in response to referee report

arxiv created 2012/05/22 · openalex publication_date 2012/06/12 · arxiv updated 2013/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present a new scheme for the general computation of cosmic propagators that allow to interpolate between standard perturbative results at low k and their expected large-k resummed behavior. This scheme is applicable to any multipoint propagator and allows the matching of perturbative low-k calculations to any number of loops to their large-k behavior, and can potentially be applied in case of nonstandard cosmological scenarios such as those with non-Gaussian initial conditions. The validity of our proposal is checked against previous prescriptions and measurements in numerical simulations showing a remarkably good agreement. Such a generic prescription for multipoint propagators provides the necessary building blocks for the computation of polyspectra in the context of the so-called \ensuremathΓ expansion introduced by F. Bernardeau, M. Crocce, and R. ScoccimarroPhys. Rev. D 78, 103521 (2008).. As a concrete application we present a consistent calculation of the matter bispectrum at one-loop order.

Citations

• Resumming cosmological perturbations via the Lagrangian picture: One-loop results in real space and in redshift space
• Flowing with time: a new approach to non-linear cosmological perturbations

Cited by

• Cosmic propagators at two-loop order
• Matter power spectrum and the challenge of percent accuracy
• On the renormalization of the effective field theory of large scale structures
• Matter bispectrum of large-scale structure: Three-dimensional comparison between theoretical models and numerical simulations
• The two and three-loop matter bispectrum in perturbation theories
• Large-scale structure perturbation theory without losing stream crossing

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• Cosmic structure from the path integral of classical mechanics and its comparison to standard perturbation theory
• Spectral Representation of Cosmological Correlators
• The one-loop bispectrum of galaxies in redshift space from the Effective Field Theory of Large-Scale Structure