Cancellation of quantum corrections on the soft curvature perturbations

Abstract

We study the cancellation of quantum corrections on the superhorizon curvature perturbations from subhorizon physics beyond the single-clock inflation from the viewpoint of the cosmological soft theorem. As an example, we focus on the transient ultra-slow-roll inflation scenario and compute the one-loop quantum corrections to the power spectrum of curvature perturbations taking into account nontrivial surface terms in the action. We find that Maldacena's consistency relation is satisfied and guarantees the cancellation of contributions from the short-scale modes. As a corollary, primordial black hole production in single-field inflation scenarios is not excluded by perturbativity breakdown even for the sharp transition case in contrast to some recent claims in the literature. We also comment on the relation between the tadpole diagram in the in-in formalism and the shift of the elapsed time in the stochastic-$\delta N$ formalism. We find our argument is not directly generalisable to the tensor perturbations.

arXiv comment23 pages, 8 figures; v2 matches the accepted version in JHEP

References in corpus (65)

• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Noncommutative Perturbative Dynamics
• The Effective Field Theory of Inflation
• A General Analytic Formula for the Spectral Index of the Density Perturbations produced during Inflation
• Equilibrium State of a Massless Self-Interacting Scalar Field in the De Sitter Background
• A general proof of the conservation of the curvature perturbation
• Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations
• The cosmological gravitational wave background from primordial density perturbations
• Single field consistency relation for the 3-point function
• The Effective Field Theory of Cosmological Large Scale Structures
• From the Big Bang Theory to the Theory of a Stationary Universe
• Super-Horizon Scale Dynamics of Multi-Scalar Inflation
• Relativistic second-order perturbations of the Einstein-de Sitter Universe
• Keldysh technique and non-linear sigma-model: basic principles and applications
• Horizon crossing and inflation with large η
• On Soft Limits of Inflationary Correlation Functions
• General Relativistic Dynamics of Irrotational Dust: Cosmological Implications
• Violation of non-Gaussianity consistency relation in a single field inflationary model
• On the consistency relation of the 3-point function in single field inflation
• Correlation Functions in Stochastic Inflation
• Conformal consistency relations for single-field inflation
• The Observed Squeezed Limit of Cosmological Three-Point Functions
• Conformal Symmetries of Adiabatic Modes in Cosmology
• The Inflationary Trispectrum for Models with Large Non-Gaussianities
• Primordial Black Holes and Local Non-Gaussianity in Canonical Inflation
• An Infinite Set of Ward Identities for Adiabatic Modes in Cosmology
• Improved Estimates of Cosmological Perturbations
• Schwinger-Keldysh Diagrammatics for Primordial Perturbations
• The (not so) squeezed limit of the primordial 3-point function
• Symmetries and Loops in Inflation
• Evolution of non-linear cosmological perturbations
• Conserved non-linear quantities in cosmology
• Dominance of gauge artifact in the consistency relation for the primordial bispectrum
• On Loops in Inflation III: Time Independence of zeta in Single Clock Inflation
• Curvature perturbation at the local extremum of the inflaton's potential
• Constraints from Conformal Symmetry on the Three Point Scalar Correlator in Inflation
• PBH formation in EFT of single field inflation with sharp transition
• Questions on calculation of primordial power spectrum with large spikes: the resonance model case
• Ward Identities for Scale and Special Conformal Transformations in Inflation
• A new algorithm for calculating the curvature perturbations in stochastic inflation
• The constancy of ζin single-clock Inflation at all loops
• Quantum loop effects on the power spectrum and constraints on primordial black holes
• One-particle-irreducible consistency relations for cosmological perturbations
• On Separate Universes
• Galileon inflation evades the no-go for PBH formation in the single-field framework
• A note on the role of the boundary terms for the non-Gaussianity in general k-inflation
• Influence on observation from IR divergence during inflation -- Single field inflation --
• Non-perturbative approach for curvature perturbations in stochastic-$\delta N$ formalism
• Power spectrum of primordial perturbations during ultra-slow-roll inflation with back reaction effects
• Squeezed bispectrum and one-loop corrections in transient constant-roll inflation
• Soft Theorems For Shift-Symmetric Cosmologies
• A generalized non-Gaussian consistency relation for single field inflation
• Power spectrum in stochastic inflation
• de Sitter limit of inflation and nonlinear perturbation theory
• Resonant Trispectrum and a Dozen More Primordial N-point functions
• Statistics of coarse-grained cosmological fields in stochastic inflation
• One-loop graviton corrections to the curvature perturbation from inflation
• Bispectrum in Single-Field Inflation Beyond Slow-Roll
• Influence on observation from IR divergence during inflation -- Multi field inflation --
• Is There Scale-Dependent Bias in Single-Field Inflation?
• Squeezed Bispectrum in the $\delta N$ Formalism: Local Observer Effect in Field Space
• Consistency Relations for Non-Gaussianity
• A relativistic signature in large-scale structure
• Scalar Bispectrum Beyond Slow-Roll in the Unified EFT of Inflation
• Observable Quantum Loop Effects in the Sky

Cited by in corpus (23)

• Note on the bispectrum and one-loop corrections in single-field inflation with primordial black hole formation
• Numerical 1-loop correction from a potential yielding ultra-slow-roll dynamics
• The separate-universe approach and sudden transitions during inflation
• Realisation of the ultra-slow roll phase in Galileon inflation and PBH overproduction
• Ultra-Slow-Roll Inflation on the Lattice I: Backreaction and Nonlinear Effects
• Loop contributions to the scalar power spectrum due to quartic order action in ultra slow roll inflation
• No time to derive: unraveling total time derivatives in in-in perturbation theory
• Absence of one-loop effects on large scales from small scales in non-slow-roll dynamics II: Quartic interactions and consistency relations
• Comparing sharp and smooth transitions of the second slow-roll parameter in single-field inflation
• Proving the absence of large one-loop corrections to the power spectrum of curvature perturbations in transient ultra-slow-roll inflation within the path-integral approach
• Primordial black hole compaction function from stochastic fluctuations in ultra-slow-roll inflation
• Obviating PBH overproduction for SIGWs generated by Pulsar Timing Arrays in loop corrected EFT of bounce
• Quantum loop corrections in the modified gravity model of Starobinsky inflation with primordial black hole production
• Absence of one-loop effects on large scales from small scales in non-slow-roll dynamics
• Conservation of superhorizon curvature perturbations at one loop: Backreaction in the in-in formalism and Renormalization
• Incorporating Backreaction in One-Loop Corrections in Ultra-Slow-Roll Inflation
• Role of the counterterms in the conservation of superhorizon curvature perturbations at one loop
• Ultra-Slow-Roll Inflation on the Lattice II: Nonperturbative Curvature Perturbation
• Non-Gaussianities and Primordial Black Holes
• Generating large primordial fluctuations in single-field inflation for PBH formation
• Dip and non-linearity in the curvature perturbation from inflation with a transient non-slow-roll stage
• Stochastic Inflation with Interacting Noises
• Effect of stochastic kicks on primordial black hole abundance and mass via the compaction function