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Curvature perturbation at the local extremum of the inflaton's potential

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arxiv hep-ph/0104083 v2 pith:XWXVMO2W submitted 2001-04-09 hep-ph astro-phgr-qc

classification hep-phastro-phgr-qc
keywords perturbationcurvatureextremuminflatonpotentialcasecasescrosses
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The spectrum of curvature perturbation generated during inflation is studied in the case the inflation-driving scalar field (inflaton) $\phi$ crosses over its potential extremum. It is shown that the nondecaying mode of perturbation has a finite value and a proper formula is given. The result is also extended to more general cases where $\ddot{\phi}$ is non-negligible.

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Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. UV artefacts in ultra-slow-roll models of inflation

    astro-ph.CO 2026-06 unverdicted novelty 7.0 of 10

    Hubble-flow models of ultra-slow-roll inflation introduce spurious UV artefacts in the potential that Fourier filtering removes, restoring Wands duality.

  2. Primordial Black Holes from Vector-Induced Curvature Perturbations Sourced by Primordial Magnetic Fields

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    Vector modes from primordial magnetic fields remain constant in a kination epoch and source second-order curvature perturbations scaling as P_R(k) ∝ k^{-5}, sufficient for PBH dark matter abundance in a Ratra-type mag...

  3. How Dilatation Invariance Suppresses Loop Corrections to Curvature Perturbations on CMB Scales

    astro-ph.CO 2026-08 conditional novelty 5.0 of 10

    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.

  4. Cancellation of one-loop time dependence in superhorizon curvature perturbations from all scales

    astro-ph.CO 2026-06 unverdicted novelty 5.0 of 10

    One-loop time dependence in superhorizon curvature perturbations cancels when all-scale contributions and boundary terms are included consistently via the δN formalism.

  5. Ward Identity Constraints on Loop Corrections in Non-Attractor Inflation

    astro-ph.CO 2025-06 unverdicted novelty 5.0 of 10

    Ward identities derived from perturbation-theory symmetries enforce non-perturbative constraints on the infrared power spectrum and guarantee conservation of super-horizon modes in non-attractor inflation.

  6. Probing non-Gaussianity during reheating with SIGW in the LISA band

    astro-ph.CO 2026-04 unverdicted novelty 4.0 of 10

    Non-standard reheating imprints detectable features on SIGW spectra via non-Gaussianity, with dynamics that can suppress or boost the signal amplitude for LISA.

  7. From inflation to hot big bang -- a tutorial on cosmological perturbations

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