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Consistently violating the non-Gaussian consistency relation

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arxiv 1502.03458 v3 pith:TJGNZEVX submitted 2015-02-11 astro-ph.CO gr-qchep-phhep-th

classification astro-ph.COgr-qchep-phhep-th
keywords relationbispectrumconsistencyevolutionlimitmodelsnon-attractornon-gaussian
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Non-attractor models of inflation are characterized by the super-horizon evolution of curvature perturbations, introducing a violation of the non-Gaussian consistency relation between the bispectrum's squeezed limit and the power spectrum's spectral index. In this work we show that the bispectrum's squeezed limit of non-attractor models continues to respect a relation dictated by the evolution of the background. We show how to derive this relation using only symmetry arguments, without ever needing to solve the equations of motion for the perturbations.

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Cited by 6 Pith papers

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

  1. Curvature Perturbations in the Effective Field Theory of Inflation

    gr-qc 2019-08 conditional novelty 7.0 of 10

    In single-field inflation, conservation of the comoving curvature perturbation implies conservation of the unitary and synchronous curvatures, but not the reverse, with observable consequences in ultra-slow-roll and a...

  2. Trispectrum in Extended USR Model with Transition to SR

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    In the two-phase USR-SR inflation model, g_NL = 25 h^3 / (3 (h-6)^3) and tau_NL = 9 h^4 / (h-6)^4, confirmed by both delta-N and in-in formalisms.

  3. Axion USR Inflation

    astro-ph.CO 2025-07 conditional novelty 6.0 of 10

    In axion inflation with an intermediate ultra-slow-roll phase, the instability parameter collapses at the start of USR, terminating gauge production and yielding a two-peak power spectrum with P_R ∝ k^m, m>4.

  4. Hamiltonians to all Orders in Perturbation Theory and Higher Loop Corrections in Single Field Inflation with PBHs Formation

    astro-ph.CO 2025-02 unverdicted novelty 6.0 of 10

    Derives all-order Hamiltonians via EFT of inflation for USR models and shows L-loop corrections to CMB-scale perturbations scale as (ΔN P_e L)^L, exiting perturbative control at L=4 for typical ΔN≈2.5.

  5. Testing inflation on all scales: a case study with $\alpha$-attractors

    astro-ph.CO 2024-12 conditional novelty 6.0 of 10

    A subset of hybrid alpha-attractor inflation models passes all large- and small-scale constraints and predicts scalar-induced gravitational waves detectable by LISA.

  6. Two-loop corrections in power spectrum in models of inflation with PBHs formation

    hep-ph 2024-11 conditional novelty 5.0 of 10

    The two-loop 'double scoop' diagram correction in USR inflation scales as the square of the one-loop correction, confirming that sharp transitions make the loop expansion unreliable.

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