Primordial non-Gaussianities in single-field inflation
Open accessAbstract
We calculate the three-point function for primordial scalar fluctuations in a single-field inflationary scenario where the scalar field Lagrangian is a completely general function of the field and its first derivative. We obtain an explicit expression for the three-point correlation function in a self-consistent approximation scheme where the expansion rate varies slowly, analogous to the slow-roll limit in standard, single-field inflation. The three-point function can be written in terms of the familiar slow-roll parameters and three new parameters which measure the non-trivial kinetic structure of the scalar field, the departure of the speed of sound from the speed of light, and the rate of change of the speed of sound.
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Inflationary models with higher derivative operators, such as ghost inflation or inflation based on the Dirac-Born-Infeld action, can produce higher non-Gaussianity, possibly detectable.
“On the other hand, inflationary models with higher derivative operators, such as ghost inflation or inflation based on the Dirac-Born-Infeld action, can produce higher non-Gaussianity [6, 7, 8, 9], possibly detectable.”
From Non-Gaussianities in two-field inflation (2006) · cites this paper as [8]
The paper explicitly calculated in this model the non-Gaussianity due to the three-point function for the field perturbations at Hubble exit, using the result of Seery and Lidsey [8], and showed that it is small, as previously argued by Lyth and Zaballa [37].
“However, we have explicitly calculated in this model the non-Gaussianity due to the three-point function for the field perturbations at Hubble exit, using the result of Seery and Lidsey [8], and shown that it is small, as previously argued by Lyth and Zaballa [37].”
From Non-Gaussianities in two-field inflation (2006) · cites this paper as [8]
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Sorted by citations
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Non-Gaussianities in two-field inflation
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- 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
- 2005-06-08
- Volume
- 2005
- Issue
- 06
- Pages
- 003-003
- ISSN
- 1475-7508 (ISSN-L)
- 1475-7516
- OpenAlex
- W1983380082
- Cited by
- 409
- References
- 1
- Citations by year
- 2026: 1 · 2025: 9 · 2024: 12 · 2023: 12 · 2022: 13 · 2021: 12 · 2020: 10 · 2019: 7 · 2018: 21 · 2017: 10 · 2016: 18 · 2015: 14 · 2014: 16 · 2013: 37 · 2012: 39
- FWCI
- 14.35
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Journal of Cosmology and Astroparticle Physics (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- 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 › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- primordial non-Gaussianity, single-field inflation, three-point functions, slow-roll approximation, self-consistent approximation, kinetic term, sound velocity, slow-roll parameters
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