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.

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

References in corpus (22)

• The Effective Field Theory of Inflation
• Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations
• The cosmological gravitational wave background from primordial density perturbations
• The Effective Field Theory of Cosmological Large Scale Structures
• On the consistency relation of the 3-point function in single field inflation
• Conformal Symmetries of Adiabatic Modes in Cosmology
• The Inflationary Trispectrum for Models with Large Non-Gaussianities
• 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
• Quantum loop effects on the power spectrum and constraints on primordial black holes
• 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
• 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
• Power spectrum in stochastic inflation
• Resonant Trispectrum and a Dozen More Primordial N-point functions
• de Sitter limit of inflation and nonlinear perturbation theory
• Statistics of coarse-grained cosmological fields in stochastic inflation
• Consistency Relations for Non-Gaussianity
• 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