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On the consistency relation of the 3-point function in single field inflation
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The consistency relation for the 3-point function of the CMB is a very powerful observational signature which is believed to be true for every inflationary model in which there is only one dynamical degree of freedom. Its importance relies on the fact that deviations from it might be detected in next generation experiments, allowing us to rule out all single field inflationary models. After making more precise the already existing proof of the consistency relation, we use a recently developed effective field theory for inflationary perturbations to provide an alternative and very explicit proof valid at leading non trivial order in slow roll parameters.
Forward citations
Cited by 12 Pith papers
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Searching for Folded Primordial Non-Gaussianity with Galaxy Surveys
The galaxy bispectrum, not the power spectrum, is the main probe of folded primordial non-Gaussianity; narrow folded signals are washed out by Fourier-space binning.
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Non-linear structure formation damps oscillatory squeezed bispectra with cos(µ ln(q/k)) shape by k ~ 0.3 h/Mpc at z = 0, and iterative reconstruction recovers most of the signal.
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Effective Field Theory and In-In Correlators
Matching in-in correlators between a full theory and its effective theory requires extra boundary terms in flat space, but those terms fade away in de Sitter space.
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When inflationary perturbations refuse to classicalise: the role of non-Gaussianity in Wigner negativity
In ultra-slow-roll inflation, the Wigner function of the inflationary Goldstone field becomes negative and its negativity grows with the scale factor squared, so the perturbations do not automatically become classical.
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Finite parts of inflationary loops II: A streamlined UV in-in algorithm and distinguishable signatures
A new UV in-in algorithm for inflationary loops identifies renormalization difficulties and distinguishable finite corrections to the one-loop bispectrum in EFT inflation.
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Trispectrum in Extended USR Model with Transition to SR
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.
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Hamiltonians to all Orders in Perturbation Theory and Higher Loop Corrections in Single Field Inflation with PBHs Formation
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.
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Non-Perturbative Hamiltonian and Higher Loop Corrections in USR Inflation
In USR inflation with an idealized instantaneous sharp transition to slow-roll, higher loop corrections to curvature perturbations on CMB scales grow rapidly with loop order L and may exit perturbative control.
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Gravitational memory and Ward identities in the local detector frame
Gravitational memory in TT gauge is encoded in large residual diffeomorphisms that equal BMS transformations, and their Ward identities yield soft graviton theorems and flat-space consistency relations.
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Gravitational memory and soft theorems: The local perspective
Gravitational memory is shown to be a large residual coordinate transformation in TT gauge, yielding new flat-space soft theorems for equal-time correlators that mirror inflationary consistency relations.
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Origin of ultra-light fields during inflation and their suppressed non-Gaussianity
A scaling symmetry in a class of two-field inflation models naturally produces a massless isocurvature field whose self-interactions are suppressed, making primordial non-Gaussianity slow-roll suppressed but with a sq...
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EFT Perspective On de-Sitter S-Matrix
In a carefully chosen limit, the de Sitter scattering amplitude is written as an integral transform of the flat-space amplitude, and requiring energy conservation on exceptional de Sitter scalars reproduces DBI and Sp...
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