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The Inflationary Trispectrum for Models with Large Non-Gaussianities

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arxiv hep-th/0610235 v5 pith:EKEWFZNL submitted 2006-10-22 hep-th astro-phhep-ph

The Inflationary Trispectrum for Models with Large Non-Gaussianities

classification hep-th astro-phhep-ph
keywords modelsinflationinflationarytrispectrumclasscurvaturefieldfunction
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We compute the leading order contribution to the four-point function of the primordial curvature perturbation in a class of single field models where the inflationary Lagrangian is a general function of the inflaton and its first derivative. This class of models includes string motivated inflationary models such as DBI inflation. We find that the trispectrum for some range of parameters could potentially be observed in future experiments. Moreover, the trispectrum can distinguish DBI inflation from other inflation models with large non-Gaussianities which typically have a similar bispectrum. We also derive a set of consistency conditions for n-point functions of the primordial curvature perturbation in single field inflation, generalizing Maldacena's result for 3-point functions.

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Cited by 3 Pith papers

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  1. Multi-soft theorems for cosmological correlators: Background wave method for scalars & gravitons

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    Tree-level multi-soft theorems for scalar and graviton correlation functions are derived at leading soft order via background-wave coordinate rescaling, including tensor exchanges in scalars and scalar exchanges in tensors.

  2. Inflationary trispectrum of gauge fields from scalar and tensor exchanges

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    The inflationary trispectrum of gauge fields from scalar and tensor exchanges is derived analytically, yielding beta^zeta_nl = (b^zeta_nl)^2 in the counter-collinear limit and growing flattened-limit signals.

  3. Three Advanced Lectures on Inflation

    hep-th 2026-06 unverdicted

    Lecture notes providing an advanced introduction to primordial inflation theory and perturbation theory in slow-roll and quasi-de Sitter spacetimes.