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One consistency relation for all single-field inflationary models

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arxiv 2311.12777 v1 pith:AO6MLBF2 submitted 2023-11-21 astro-ph.CO hep-phhep-th

One consistency relation for all single-field inflationary models

classification astro-ph.CO hep-phhep-th
keywords consistencymodelsperturbationrelationsingle-fieldbackgroundbispectrumcurvature
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper, we present a non-Gaussianity consistency relation that enables the calculation of the squeezed limit bispectrum of the curvature perturbation in single-field inflationary models by carefully inspecting the background evolution and the linear perturbation theory. The consistency relation is more general than others in the literature since it does not require any specific symmetry, conservation of the curvature perturbation at large scales, attractor background evolution or canonical kinetic energy of the inflaton field. We demonstrate that all known examples of the squeezed limit bispectrum in single-field models of inflation can be reproduced within this framework.

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Cited by 2 Pith papers

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

  1. Trispectrum in Extended USR Model with Transition to SR

    astro-ph.CO 2025-09 conditional novelty 6.0

    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.

  2. 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

    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.