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Non-Gaussian tails without stochastic inflation
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abstract
We show, both analytically and numerically, that non-Gaussian tails in the probability density function of curvature perturbations arise in ultra-slow-roll inflation from the $\delta N$ formalism, without invoking stochastic inflation. Previously reported discrepancies between both approaches are a consequence of not correctly accounting for momentum perturbations. Once they are taken into account, both approaches agree to an excellent degree. The shape of the tail depends strongly on the phase space of inflation.
Forward citations
Cited by 6 Pith papers
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LISA can reconstruct the primordial curvature power spectrum from scalar-induced gravitational waves, with percent-level precision near the peak and Bayesian tests separating SIGWs from other sources.
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How Well Do We Know the Scalar-Induced Gravitational Waves?
Non-Gaussian curvature perturbations, related to Gaussian ones by a logarithmic mapping, can make the scalar-induced gravitational wave background much larger or smaller than the standard quadratic calculation predicts.
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It\^{o}, Stratonovich, and zoom-in schemes in stochastic inflation
An alternating drift-and-kick 'zoom-in' scheme for stochastic inflation is equivalent to the Itô interpretation, and the Itô-Stratonovich difference vanishes in the full non-Markovian setup.
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A consistency relation for induced gravitational wave anisotropies
Induced gravitational wave anisotropies in canonical single-field inflation are fully determined by the spectral tilts of the scalar and tensor power spectra.
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$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation
A reformulation of the δN formalism that counts e-folds forward and exploits the superhorizon correlation between field and velocity to express the curvature perturbation PDF as a one-dimensional change of variables.
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Stochastic inflation and non-perturbative power spectrum beyond slow roll
A numerical stochastic ΔN code reproduces the slow-roll power spectrum and shows that the time-independent non-perturbative spectrum fails at ultra-slow-roll transitions.
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