REVIEW 6 cited by
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
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
We revisit one-loop corrections to the power spectrum of curvature perturbations $\zeta$ in an inflationary scenario containing a transient ultra-slow-roll (USR) period. In Ref.[1], it was argued that one-loop corrections to the power spectrum of $\zeta$ can be larger than the tree-level one within the parameter region generating the seeds of primordial black holes during the USR epoch, which implies the breakdown of perturbation theory. We prove that this is not the case by using a master formula for one-loop corrections to the power spectrum obtained in Ref.[2]. We derive the same formula within the path-integral formalism, which is simpler than the original derivation in [2]. To show the smallness of one-loop corrections, the consistency relations and the effective constancy of tree-level mode functions of $\zeta$ for super-Hubble modes play essential roles, with which the master formula gives a simple expression for one-loop corrections. For concreteness, we provide a reduced set of interactions including the leading-order one, while establishing the consistency relations in a self-consistent manner. We also show how the consistency relations of various operators hold explicitly, which plays a key role in proving the absence of large one-loop corrections.
Forward citations
Cited by 6 Pith papers
-
On Cosmological Correlators at One Loop
The one-loop triangle in-in correlator of massless scalars in flat space is evaluated in closed form in terms of dilogarithms, with Landau analysis revealing its physical singularities and a partial-energy factorisati...
-
Scale-Dependent Loop Corrections to the Inflationary Power Spectrum
One-loop gravitational corrections in inflationary models with scale-dependent features are renormalizable and vanish on large and small scales, preserving perturbativity of CMB-fit feature models.
-
How Dilatation Invariance Suppresses Loop Corrections to Curvature Perturbations on CMB Scales
Dilatation invariance forces the non-linear curvature perturbation on super-Hubble scales to depend only on the decaying/growing mode, suppressing loop corrections to the CMB power spectrum even with sharp transitions.
-
One-loop corrections to infrared GWs is forbidden by symmetries
In non-attractor single-field inflation, one-loop corrections to superhorizon gravitational waves cancel, and a Ward identity explains why.
-
Incorporating Backreaction in One-Loop Corrections in Ultra-Slow-Roll Inflation
Including the backreaction of quantum fluctuations on the background inflaton cancels the one-loop superhorizon corrections to the curvature power spectrum in ultra-slow-roll inflation.
-
Conservation of superhorizon curvature perturbations at one loop: Backreaction in the in-in formalism and Renormalization
Superhorizon curvature perturbations remain conserved at one-loop order in single-field inflation with a transient non-slow-roll period when backreaction and renormalization are included.
Discussion (0). Continue with ORCID to comment.