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Non-Gaussianity from the inflationary trispectrum

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Seery, David, Lidsey, James E·2007·Journal of Cosmology and Astroparticle Physics
DOI 10.1088/1475-7516/2007/01/008
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Abstract

We present an estimate for the non-linear parameter τ NL , which measures the non-Gaussianity imprinted in the trispectrum of the comoving curvature perturbation, ζ. Our estimate is valid throughout the inflationary era, until the slow-roll approximation breaks down, and takes into account the evolution of perturbations on superhorizon scales. We find that the non-Gaussianity is always small if the field values at the end of inflation are negligible when compared to their values at horizon crossing. Under the same assumption, we show that in N-flation-type scenarios, where the potential is a sum of monomials, the non-Gaussianity measured by τ NL is independent of the couplings and initial conditions.

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  • In Example A, the potential is dominated by the quadratic potential of the χ field, corrected by -1/2 λ m^2 φ^2 χ^2, which might be important for preheating.

    “In this slow-roll limit, the exponential function can be expanded so that the potential is dominated by the quadratic potential of χ fi eld, 1 2 m 2 χ 2 , and corrected by the integration between χ and ϕ fi eld, -1 2 λm 2 ϕ 2 χ 2 , which might be important for preheating [38, 39].”

    From Conditions for large non-Gaussianity in two-field slow-roll inflation (2008) · cites this paper as [38]

    Section 5 discusses quadratic approximations to axion potentials, but does not describe Example A or a χ–ϕ interaction. Searches for the proposed interaction and preheating found no passage in our copy stating the claimed expansion or its significance for preheating. (LLM, conf=0.74)

    Experimental — accuracy not yet measured

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Cited by

Sorted by citations

Authors
Seery, D., & Lidsey, J. E.
Affiliations
Queen Mary University of London (GB)
ORCID
Seery, David
Venue
Journal of Cosmology and Astroparticle Physics
Publisher
IOP Publishing
Published
2007-01-10
Volume
2007
Issue
01
Pages
008-008
ISSN
  • 1475-7508 (ISSN-L)
  • 1475-7516
DOI
10.1088/1475-7516/2007/01/008
OpenAlex
W2018556588
Cited by
108
References
7
Citations by year
2024: 2 · 2023: 1 · 2022: 1 · 2021: 2 · 2018: 1 · 2017: 4 · 2016: 8 · 2015: 7 · 2014: 1 · 2013: 5 · 2012: 8
FWCI
12.38
Type
journal article
Language
en
Open access
Locations
  • Journal of Cosmology and Astroparticle Physics (publishedVersion)
  • arXiv (Cornell University) (acceptedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Galaxies: Formation, Evolution, Phenomena
Keywords
inflation (cosmology), trispectrum, non-Gaussianity, comoving curvature perturbation, superhorizon perturbations, slow-roll approximation, monomial potential, primordial power spectrum

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