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Inflationary perturbations from a potential with a step

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arxiv astro-ph/0102236 v2 pith:KHM3G46Y submitted 2001-02-13 astro-ph

Jennifer Adams , Bevan Cresswell , Richard Easther This is my paper
classification astro-ph
keywords stepperturbationspotentialdensityinflationaryinflatonoscillationsamplitude
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abstract

We use a numerical code to compute the density perturbations generated during an inflationary epoch which includes a spontaneous symmetry breaking phase transition. A sharp step in the inflaton potential generates $k$ dependent oscillations in the spectrum of primordial density perturbations. The amplitude and extent in wavenumber of these oscillations depends on both the magnitude and gradient of the step in the inflaton potential. We show that observations of the cosmic microwave background anisotropy place strong constraints on the step parameters.

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Cited by 12 Pith papers

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

  1. Inverse-Scattering Reconstruction of Inflation from Scalar and Tensor Primordial Spectra

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

    An inverse-scattering method reconstructs inflationary potentials from primordial power spectra using Jost functions derived from the Mukhanov-Sasaki equation.

  2. Inverse-k Primordial Oscillations from a Symbolic Regression Search

    astro-ph.CO 2026-07 conditional novelty 6.0 of 10

    Symbolic regression on Planck and Planck+ACT+SPT independently selects an inverse-k primordial oscillation cos(B/k)≈cos(4/k) that weakly outperforms linear and log templates.

  3. (The) Wiggles going non-linear

    astro-ph.CO 2026-05 unverdicted novelty 6.0 of 10

    N-body simulations calibrate a one-parameter damping model that predicts the non-linear matter power spectrum from wiggly primordial spectra to sub-percent accuracy when wiggle frequency is high enough.

  4. Primordial power spectrum reconstructions from BOSS + eBOSS

    astro-ph.CO 2026-05 conditional novelty 6.0 of 10

    Non-parametric knot-based reconstruction of the primordial power spectrum P_R(k) from BOSS+eBOSS data up to k=0.3 h/Mpc favors a quasi-scale-invariant power law and constrains n_s = 0.976 ± 0.021 with no evidence for ...

  5. Inflation, Open Universes, and Dark Energy

    astro-ph.CO 2026-07 conditional novelty 5.0 of 10

    A slightly open universe with Ω_k ≈ 3×10^{-3} pulls n_s down to ~0.969, reconciling plateau inflation models with combined CMB and DESI data.

  6. Searching for primordial features with radio surveys: synergy between the power spectrum and bispectrum

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

    Joint power spectrum and bispectrum analysis from future HI intensity mapping surveys improves constraints on primordial feature amplitudes by 30-40% and achieves percent-level precision on oscillation frequencies whe...

  7. Tightening constraints on primordial oscillations with latest ACT and SPT data

    astro-ph.CO 2025-07 conditional novelty 5.0 of 10

    Combining ACT DR6, SPT-3G D1, and Planck CMB data tightens the 95% upper limits on primordial oscillation amplitudes to about 0.029, with no significant signal.

  8. Signals from the early Universe: a comprehensive search for primordial features in Planck CMB datasets

    astro-ph.CO 2026-05 unverdicted novelty 4.0 of 10

    Systematic re-analysis of Planck PR3 and PR4 CMB datasets finds local fit improvements of up to Δχ² ≈ -15 for certain oscillatory templates but no global significance above 2.6σ after look-elsewhere correction and Bay...

  9. Beyond {\Lambda}CDM with the SKA Observatory -- II: Unveiling the Secrets of the Early Universe

    astro-ph.CO 2026-07 accept novelty 3.5 of 10

    Updated SKAO-AA4 forecasts show multi-tracer HI+galaxy analyses can reach σ(f_local_NL)≲1 and improve αs bounds by tens of percent when combined with future CMB, while foregrounds and GR light-cone effects remain the ...

  10. Noncanonical Approaches To Inflation

    gr-qc 2019-06 unverdicted novelty 3.0 of 10

    A review thesis covering Mukhanov parametrization, general scalar-tensor theories, and new slow-roll techniques for canonical and noncanonical inflation observables.

  11. Comment on: "Third-order corrections to the slow-roll expansion: Calculation and constraints with Planck, ACT, SPT, and BICEP/Keck [2025 PDU 47 101813]"

    astro-ph.CO 2026-03 accept novelty 2.0 of 10

    Several terms in the third-order slow-roll power spectra are incorrect because three-dimensional integrals were evaluated by integrating a truncated Taylor expansion instead of Taylor-expanding the integral.

  12. Scalar induced gravitational waves review

    gr-qc 2021-09 unverdicted novelty 2.0 of 10

    A review that unifies analytical expressions for scalar-induced gravitational waves and emphasizes calculations for non-radiation-dominated cosmologies.

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