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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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Forward citations

Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 105 citations worldwide. Full citation record

  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

    gr-qc 2026-06 unverdicted novelty 7.0 of 10

    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. Conservation of superhorizon curvature perturbations at one loop: Backreaction in the in-in formalism and Renormalization

    astro-ph.CO 2025-02 conditional novelty 4.0 of 10

    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.

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

    hep-ph 2026-07 accept novelty 1.0 of 10

    A tutorial deriving cosmological perturbation equations from inflation through reheating, with explicit gauge-invariant computations and Python scripts.

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