Galilean invariance and the consistency relation for the nonlinear squeezed bispectrum of large scale structure

Abstract

We discuss the constraints imposed on the nonlinear evolution of the Large Scale Structure (LSS) of the universe by galilean invariance, the symmetry relevant on subhorizon scales. Using Ward identities associated to the invariance, we derive fully nonlinear consistency relations between statistical correlators of the density and velocity perturbations, such as the power spectrum and the bispectrum. These relations are valid up to O (f_{NL}^2) corrections. We then show that most of the semi-analytic methods proposed so far to resum the perturbative expansion of the LSS dynamics fail to fulfill the constraints imposed by galilean invariance, and are therefore susceptible to non-physical infrared effects. Finally, we identify and discuss a nonperturbative semi-analytical scheme which is manifestly galilean invariant at any order of its expansion.

29 pages, 7 figures

References in corpus (10)

• The Effective Field Theory of Cosmological Large Scale Structures
• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• Nonlinear Evolution of Baryon Acoustic Oscillations
• On the consistency relation of the 3-point function in single field inflation
• Flowing with Time: a New Approach to Nonlinear Cosmological Perturbations
• Conformal Symmetries of Adiabatic Modes in Cosmology
• Multi-Point Propagators in Cosmological Gravitational Instability
• Consistency condition for inflation from (broken) conformal symmetry
• Chasing the non-linear evolution of matter power spectrum with numerical resummation method: solution of closure equations
• Propagators in Lagrangian space

Cited by in corpus (123)

• Large-Scale Galaxy Bias
• The Effective Field Theorist's Approach to Gravitational Dynamics
• Equivalence Principle and the Baryon Acoustic Peak
• Non-linear perturbation theory extension of the Boltzmann code CLASS
• Renormalized Halo Bias
• The Lagrangian-space Effective Field Theory of Large Scale Structures
• Time-Sliced Perturbation Theory II: Baryon Acoustic Oscillations and Infrared Resummation
• Single-Field Consistency Relations of Large Scale Structure
• The Effective Field Theory of Large Scale Structures at Two Loops
• The Bispectrum in the Effective Field Theory of Large Scale Structure
• Infrared Resummation for Biased Tracers in Redshift Space
• Modeling Biased Tracers at the Field Level
• Time-Sliced Perturbation Theory for Large Scale Structure I: General Formalism
• Cosmological perturbation theory at three-loop order
• The 2-loop matter power spectrum and the IR-safe integrand
• On the Velocity in the Effective Field Theory of Large Scale Structures
• An EFT description of galaxy intrinsic alignments
• Large-Scale Structure and Gravitational Waves III: Tidal Effects
• Cosmology with the Galaxy Bispectrum Multipoles: Optimal Estimation and Application to BOSS Data
• On Separate Universes
• Structure formation with massive neutrinos: going beyond linear theory
• Systematic Renormalization of the Effective Theory of Large Scale Structure
• Slavnov-Taylor Identities for Primordial Perturbations
• The angle-averaged squeezed limit of nonlinear matter N-point functions
• Single-Field Consistency Relations of Large Scale Structure. Part II: Resummation and Redshift Space
• On the non-linear scale of cosmological perturbation theory
• Single-Field Consistency Relations of Large Scale Structure. Part III: Test of the Equivalence Principle
• The observed galaxy power spectrum in General Relativity
• Consequences of Symmetries and Consistency Relations in the Large-Scale Structure of the Universe for Non-local bias and Modified Gravity
• BMS in Cosmology
• Dark Energy and Modified Gravity in the Effective Field Theory of Large-Scale Structure
• Ward identities and consistency relations for the large scale structure with multiple species
• An analytic implementation of the IR-resummation for the BAO peak
• Responses in Large-Scale Structure
• Soft-Pion Theorems for Large Scale Structure
• Time-sliced perturbation theory with primordial non-Gaussianity and effects of large bulk flows on inflationary oscillating features
• Lagrangian or Eulerian; Real or Fourier? Not All Approaches to Large-Scale Structure Are Created Equal
• Primordial Gravitational Waves from Galaxy Intrinsic Alignments
• Conformal Fermi Coordinates
• IR-safe and UV-safe integrands in the EFTofLSS with exact time dependence
• Inflationary soft theorems revisited: A generalized consistency relation
• Non-linear Fields in Generalized Cosmologies
• Matter bispectrum of large-scale structure: Three-dimensional comparison between theoretical models and numerical simulations
• Lagrangian perturbation theory for modified gravity
• Testing one-loop galaxy bias: Power spectrum
• Non-Gaussianities due to Relativistic Corrections to the Observed Galaxy Bispectrum
• Angular averaged consistency relations of large-scale structures
• A Consistency Relation for the Observed Galaxy Bispectrum and the Local non-Gaussianity from Relativistic Corrections
• Is There Scale-Dependent Bias in Single-Field Inflation?
• Cosmological inference from the EFTofLSS: the eBOSS QSO full-shape analysis
• Biasing and the search for primordial non-Gaussianity beyond the local type
• Bispectrum Supersample Covariance
• Probing the inflationary particle content: extra spin-2 field
• Perturbative description of bias tracers using consistency relations of LSS
• Towards a self-consistent analysis of the anisotropic galaxy two- and three-point correlation functions on large scales: application to mock galaxy catalogues
• Kinematic consistency relations of large-scale structures
• Non-perturbative probability distribution function for cosmological counts in cells
• Moving around the cosmological parameter space: a nonlinear power spectrum reconstruction based on high-resolution cosmic responses
• Consistency relations for large-scale structure in modified gravity and the matter bispectrum
• Multiple Soft Limits of Cosmological Correlation Functions
• Principal Shapes and Squeezed Limits in the Effective Field Theory of Large Scale Structure
• Systematics of Adiabatic Modes: Flat Universes
• A coarse grained perturbation theory for the Large Scale Structure, with cosmology and time independence in the UV
• Soft limits in holographic cosmology
• Non-Trivial Checks of Novel Consistency Relations
• Equal-time Consistency Relations in the Large-Scale Structure of the Universe
• New constraints on cosmological modified gravity theories from anisotropic three-point correlation functions of BOSS DR12 galaxies
• Unveiling dark forces with measurements of the Large Scale Structure of the Universe
• On the Initial State and Consistency Relations
• Renormalization-group flow of the effective action of cosmological large-scale structures
• Modeling HI at the field level
• Response approach to the squeezed-limit bispectrum: application to the correlation of quasar and Lyman-$\alpha$ forest power spectrum
• Violation of the consistency relations for large-scale structure with dark energy
• Fisher Forecasts for Primordial non-Gaussianity from Persistent Homology
• Testing the equal-time angular-averaged consistency relation of the gravitational dynamics in N-body simulations
• Possible Signatures of Inflationary Particle Content: Spin-2 Fields
• Cosmological Vlasov-Poisson equations for dark matter: Recent developments and connections to selected plasma problems
• Relativistic cosmological large scale structures at one-loop
• Perturbation theory with dispersion and higher cumulants: non-linear regime
• A non-perturbative test of consistency relations and their violation
• Symmetries of Vector Perturbations during the de Sitter Epoch
• Squeezing $f_{\mathrm{NL}}$ out of the matter bispectrum with consistency relations
• Using Lagrangian perturbation theory for precision cosmology
• Galilean invariant resummation schemes of cosmological perturbations
• Neutrino masses from large-scale structures: future sensitivity and theory dependence
• Lagrangian space consistency relation for large scale structure
• On Soft Limits of Large-Scale Structure Correlation Functions
• Inflation and Conformal Invariance: The Perspective from Radial Quantization
• Perturbation theory of LSS in the $\Lambda$CDM Universe: exact time evolution and the two-loop power spectrum
• Phenomenology of BAO evolution from Lagrangian to Eulerian Space
• Primordial Stochastic Gravitational Wave Background Anisotropies: in-in Formalization and Applications
• Structure formation in an anisotropic universe: Eulerian perturbation theory
• Soft theorems for boosts and other time symmetries
• Consistency relations for large scale structures with primordial non-Gaussianities
• Non-zero density-velocity consistency relations for large scale structures
• Cosmological Perturbation Theory for streams of relativistic particles
• Testing the Origin of Cosmological Magnetic Fields through the Large-Scale Structure Consistency Relations
• Measuring Bias via the Consistency Relations of the Large Scale Structure
• First test of the consistency relation for the large-scale structure using the anisotropic three-point correlation function of BOSS DR12 galaxies (An explanatory video is available at https://youtu.be/Zi36ooLPhss.)
• On the galaxy 3-point correlation function in Modified Gravity
• Renormalizing a Viscous Fluid Model for Large Scale Structure Formation
• Model independent measurement of the growth rate from the consistency relations of the LSS
• Redshift-space equal-time angular-averaged consistency relations of the gravitational dynamics
• Consistency relations for large-scale structures: Applications for the integrated Sachs-Wolfe effect and the kinematic Sunyaev-Zeldovich effect
• Inflation in Flatland
• Covariant Decomposition of The Non-Linear Galaxy Number Counts and Their Monopole
• On Observables in a Dark Matter-Clustering Quintessence System
• Power spectrum response of large-scale structure in 1D and in 3D: tests of prescriptions for post-collapse dynamics
• Non-linear Cosmological Perturbations for Coupled Dark Energy
• Non-Gaussian assembly bias from a semi-analytic galaxy formation model
• Cosmic variance mitigation in measurements of the integrated Sachs-Wolfe effect
• Constraining $f_{NL}$ using the Large-Scale Modulation of Small-Scale Statistics
• The Compressed 3D Lyman-Alpha Forest Bispectrum
• Cosmological perturbation theory using generalized Einstein de Sitter cosmologies
• Cosmological functional renormalisation group, extended Galilean invariance and the sweeping effect
• Perturbation theory challenge for cosmological parameters estimation II.: Matter power spectrum in redshift space
• Baryonic effects in the Effective Field Theory of Large-Scale Structure and an analytic recipe for lensing in CMB-S4
• A Consistency Relation for the CMB B-mode Polarization in the Squeezed Limit
• The Large Scale Structure Bootstrap: perturbation theory and bias expansion from symmetries
• Non-Gaussianity in the Squeezed Three-Point Correlation from the Relativistic Effects
• Testing growth rate dependence in cosmological perturbation theory using scale-free models
• Gravitational redshift from large-scale structure: nonlinearities, antisymmetries, and the dipole
• Cosmology with the Redshift-Space Galaxy Bispectrum Monopole at One-Loop Order