Dominance of gauge artifact in the consistency relation for the primordial bispectrum

Abstract

The conventional cosmological perturbation theory has been performed under the assumption that we know the whole spatial region of the universe with infinite volume. This is, however, not the case in the actual observations because observable portion of the universe is limited. To give a theoretical prediction to the observable fluctuations, gauge-invariant observables should be composed of the information in our local observable universe with finite volume. From this point of view, we reexamine the primordial non-Gaussianity in single field models, focusing on the bispectrum in the squeezed limit. A conventional prediction states that the bispectrum in this limit is related to the power spectrum through the so-called consistency relation. However, it turns out that, if we adopt a genuine gauge invariant variable which is naturally composed purely of the information in our local universe, the leading term for the bispectrum in the squeezed limit predicted by the consistency relation vanishes.

12 pages; v2: accepted version in JCAP

References in corpus (11)

• Stochastic Inflationary Scalar Electrodynamics
• On the one loop corrections to inflation and the CMB anisotropies
• Semiclassical relations and IR effects in de Sitter and slow-roll space-times
• On the One Loop Corrections to Inflation II: The Consistency Relation
• Cosmology With Many Light Scalar Fields: Stochastic Inflation and Loop Corrections
• Primordial Non-Gaussianities of General Multiple Field Inflation
• On the Issue of the ζSeries Convergence and Loop Corrections in the Generation of Observable Primordial Non-Gaussianity in Slow-Roll Inflation. Part I: the Bispectrum
• IR divergence does not affect the gauge-invariant curvature perturbation
• The Zeta-Zeta Correlator Is Time Dependent
• Inflationary Infrared Divergences: Geometry of the Reheating Surface vs. delta N Formalism
• One-loop corrections to the power spectrum in general single-field inflation

Cited by in corpus (93)

• Large-Scale Galaxy Bias
• Cosmology with the Laser Interferometer Space Antenna
• Non-Gaussianity as a Particle Detector
• The Observed Squeezed Limit of Cosmological Three-Point Functions
• An Infinite Set of Ward Identities for Adiabatic Modes in Cosmology
• The (not so) squeezed limit of the primordial 3-point function
• Cosmological observables, IR growth of fluctuations, and scale-dependent anisotropies
• Parity breaking signatures from a Chern-Simons coupling during inflation: the case of non-Gaussian gravitational waves
• Primordial black holes as biased tracers
• Signatures of non-gaussianity in the isocurvature modes of primordial black hole dark matter
• On Loops in Inflation II: IR Effects in Single Clock Inflation
• Quantum Decoherence During Inflation from Gravitational Nonlinearities
• One-particle-irreducible consistency relations for cosmological perturbations
• Slavnov-Taylor Identities for Primordial Perturbations
• Perturbative Quantum Gravity Comes of Age
• Anisotropic imprint of long-wavelength tensor perturbations on cosmic structure
• Can we actually constrain $f_{\mathrm{NL}}$ using the scale-dependent bias effect? An illustration of the impact of galaxy bias uncertainties using the BOSS DR12 galaxy power spectrum
• Squeezed bispectrum and one-loop corrections in transient constant-roll inflation
• On the impact of galaxy bias uncertainties on primordial non-Gaussianity constraints
• A generalized non-Gaussian consistency relation for single field inflation
• Galaxy bias and primordial non-Gaussianity: insights from galaxy formation simulations with IllustrisTNG
• Predictions for local PNG bias in the galaxy power spectrum and bispectrum and the consequences for $f_{\mathrm{NL}}$ constraints
• Primordial Gravitational Waves from Galaxy Intrinsic Alignments
• Landscape tomography through primordial non-Gaussianity
• Inflationary flavor oscillations and the cosmic spectroscopy
• Inflationary soft theorems revisited: A generalized consistency relation
• Vacuum Fluctuations of a Scalar Field during Inflation: Quantum versus Stochastic Analysis
• Multimessenger Cosmology: correlating CMB and SGWB measurements
• Galaxy imaging surveys as spin-sensitive detector for cosmological colliders
• The Hunt for Primordial Interactions in the Large Scale Structures of the Universe
• Cancellation of quantum corrections on the soft curvature perturbations
• Tensor non-Gaussianity in chiral scalar-tensor theories of gravity
• Is There Scale-Dependent Bias in Single-Field Inflation?
• Issues Concerning Loop Corrections to the Primordial Power Spectra
• Assembly bias in the local PNG halo bias and its implication for $f_{\mathrm{NL}}$ constraints
• Consistency conditions and primordial black holes in single field inflation
• Graviton Loop Corrections to Vacuum Polarization in de Sitter in a General Covariant Gauge
• Fossilized Gravitational Wave Relic and Primordial Clocks
• Constraint of Void Bias on Primordial non-Gaussianity
• Squeezed Bispectrum in the $\delta N$ Formalism: Local Observer Effect in Field Space
• Can all the infrared secular growth really be understood as increase of classical statistical variance?
• Seeking Inflation Fossils in the Cosmic Microwave Background
• Intrinsic galaxy alignment from angular dependent primordial non-Gaussianity
• Constraints on holographic multi-field inflation and models based on the Hamilton-Jacobi formalism
• The observed galaxy bispectrum from single-field inflation in the squeezed limit
• Examining the consistency relations describing the three-point functions involving tensors
• Double Soft Limits of Cosmological Correlations
• Resilience of long modes in cosmological observables
• Vanishing of local non-Gaussianity in canonical single field inflation
• The squeezed limit of the bispectrum in multi-field inflation
• Responses of Halo Occupation Distributions: a new ingredient in the halo model & the impact on galaxy bias
• CMB Anisotropies from a Gradient Mode
• Revisiting non-Gaussianity in non-attractor inflation models in the light of the cosmological soft theorem
• A non-perturbative test of consistency relations and their violation
• The Separate Universe Approach to Soft Limits
• Strong restriction on inflationary vacua from the local gauge invariance II: Infrared regularity and absence of the secular growth in Euclidean vacuum
• Cosmic Variance of the Spectral Index from Mode Coupling
• Large gauge transformation, Soft theorem, and Infrared divergence in inflationary spacetime
• Squeezing $f_{\mathrm{NL}}$ out of the matter bispectrum with consistency relations
• QFT in the flat chart of de Sitter space
• The Quantum Corrected Mode Function and Power Spectrum for a Scalar Field during Inflation
• Pure Gravitational Back-Reaction Observables
• Lagrangian space consistency relation for large scale structure
• Quantum Effects of Mass on Scalar Field Correlations and Fluctuations during Inflation
• Halo assembly bias from a deep learning model of halo formation
• Anisotropic separate universe and Weinberg's adiabatic mode
• Probing parity-odd bispectra with anisotropies of GW $V$ modes
• Non-Gaussianities in a two-field generalization of Natural Inflation
• How Decoherence Affects the Probability of Slow-Roll Eternal Inflation
• Non-Gaussian CMB and LSS statistics beyond polyspectra
• Super cosmic variance from mode-coupling: A worked example
• Primordial tensor bispectra in $\mu$-CMB cross-correlations
• Correlated primordial spectra in effective theory of inflation
• Primordial Tensor Non-Gaussianity from Massive Gravity
• Unifying attractor and non-attractor models of inflation under a single soft theorem
• Consistency relations and conservation of $\zeta$ in holographic inflation
• Conservation of $\zeta$ with radiative corrections from heavy field
• Alternate Definitions of Loop Corrections to the Primordial Power Spectra
• Non-Gaussianity in two-field inflation beyond the slow-roll approximation
• Local observer effect on the cosmological soft theorem
• One-loop Graviton Corrections to Conformal Scalars on a de Sitter Background
• The Physical Content of Long Tensor Modes in Cosmology
• Testing an Ansatz for the Leading Secular Loop Corrections from Quantum Gravity during Inflation
• Large gauge transformations, local coordinates and cosmological observables
• The spatial gauge-dependence of single-field inflationary bispectra
• Non-Gaussian assembly bias from a semi-analytic galaxy formation model
• Influence of Unobservable Modes on Correlation Functions during Inflation
• Relativistic matter bispectrum of cosmic structures on the light cone
• Impact of transforming to Conformal Fermi Coordinates on Quasi-Single Field Non-Gaussianity
• Causality Implies Inflationary Back-Reaction
• Breaking the Single Clock Symmetry: measuring single-field inflation non-Gaussian features
• Non-linear effects in early Universe cosmology
• Non-Gaussianity in Cosmology: from Inflation to the CMB