Coarse-Grained Cosmological Perturbation Theory

Abstract

Semi-analytical methods, based on Eulerian perturbation theory, are a promising tool to follow the time evolution of cosmological perturbations at small redshifts and at mildly nonlinear scales. All these schemes are based on two approximations: the existence of a smoothing scale and the single-stream approximation, where velocity dispersion of the dark matter fluid, as well as higher moments of the particle distributions, are neglected. Despite being widely recognized, these two assumptions are, in principle, incompatible, since any finite smoothing scale gives rise to velocity dispersion and higher moments at larger scales. We describe a new approach to perturbation theory, where the Vlasov and fluid equations are derived in presence of a finite coarse-graining scale: this allows a clear separation between long and short distance modes and leads to a hybrid approach where the former are treated perturbatively and the effect of the latter is encoded in external source terms for velocity, velocity dispersion, and all the higher order moments, which can be computed from N-body simulations. We apply the coarse-grained perturbation theory to the computation of the power spectrum and the cross-spectrum between density and velocity dispersion, and compare the results with N-body simulations, finding good agreement.

31 pages, 5 figures. Discussion on the vorticity field modified

References in corpus (22)

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• The Bispectrum in the Effective Field Theory of Large Scale Structure
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• Time-Sliced Perturbation Theory for Large Scale Structure I: General Formalism
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• On the Velocity in the Effective Field Theory of Large Scale Structures
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• Effective Theory of Large-Scale Structure with Primordial Non-Gaussianity
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• Systematic Renormalization of the Effective Theory of Large Scale Structure
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• The recursion relation in Lagrangian perturbation theory
• Ward identities and consistency relations for the large scale structure with multiple species
• Large-Scale Structure Formation with Massive Neutrinos and Dynamical Dark Energy
• Nonlinear Power Spectrum from Resummed Perturbation Theory: a Leap Beyond the BAO Scale
• Constraints on modified gravity from the BOSS galaxy survey
• FFT-PT: Reducing the two-loop large-scale structure power spectrum to low-dimensional radial integrals
• Testing one-loop galaxy bias: Power spectrum
• Higher-order massive neutrino perturbations in large-scale structure
• Angular averaged consistency relations of large-scale structures
• Matter power spectrum from a Lagrangian-space regularization of perturbation theory
• Edgeworth streaming model for redshift space distortions
• Cosmic propagators at two-loop order
• Effective perfect fluids in cosmology
• Modified gravity and massive neutrinos: constraints from the full shape analysis of BOSS galaxies and forecasts for Stage IV surveys
• Kinematic consistency relations of large-scale structures
• Large-scale structure perturbation theory without losing stream crossing
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• Resummed Kinetic Field Theory: general formalism and linear structure growth from Newtonian particle dynamics
• Accuracy of analytical models of the large-scale matter distribution
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• Nonlinear effects of dark energy clustering beyond the acoustic scales
• Fisher matrix for the one-loop galaxy power spectrum: measuring expansion and growth rates without assuming a cosmological model
• Euclid preparation. Modelling spectroscopic clustering on mildly nonlinear scales in beyond-$\Lambda$CDM models
• Consistency Relations in Effective Field Theory
• Asymptotic expansions for the Large Scale Structure
• Modeling iterative reconstruction and displacement field in the large scale structure
• A first comparison of Kinetic Field Theory with Eulerian Standard Perturbation Theory
• Improving precision and accuracy in cosmology with model-independent spectrum and bispectrum
• Coarse-grained cosmological perturbation theory: stirring up the dust model
• On the galaxy 3-point correlation function in Modified Gravity
• Kinetic Field Theory for Cosmic Structure Formation
• BullFrog: Multi-step perturbation theory as a time integrator for cosmological simulations
• Renormalizing a Viscous Fluid Model for Large Scale Structure Formation
• Redshift-space equal-time angular-averaged consistency relations of the gravitational dynamics
• The dark matter bispectrum from effective viscosity and one-particle irreducible vertices
• Resummed Kinetic Field Theory: Using Mesoscopic Particle Hydrodynamics to Describe Baryonic Matter in a Cosmological Framework
• Efficient implementation of the Time Renormalization Group
• Dark matter vorticity and velocity dispersion from truncated Dyson$\unicode{x2013}$Schwinger equations
• The Schr$\ddot{o}$dinger-Poisson equations as the large-N limit of the Newtonian N-body system: applications to the large scale dark matter dynamics
• Non-Gaussian assembly bias from a semi-analytic galaxy formation model
• Resummed Kinetic Field Theory: a model of coupled baryonic and dark matter
• Cosmological perturbation theory for large scale structure in phase space
• Projection of the gravitational dynamics on a subspace of probability distributions: curl-free Gaussian ansatz
• Estimating power spectrum of discrete cosmic momentum field with fast Fourier transform
• The Large Scale Structure Bootstrap: perturbation theory and bias expansion from symmetries
• Lagrangian-space Gaussian ansatz for the matter redshift-space power spectrum and correlation function
• A semi-analytic estimate for the effective sound speed counterterm in the EFTofLSS
• Effective description of dark matter as a viscous fluid
• Baryon-photon interactions in Resummed Kinetic Field Theory
• The Hubble tension as an effect of the renormalization of fundamental constants and cosmological parameters
• Accelerated expansion in the effective field theory of a radiation dominated universe