Primordial non-Gaussianity in multi-scalar slow-roll inflation
Open accessAbstract
We analyse the non-Gaussianity for primordial curvature perturbations generated in a multi-scalar slow-roll inflation model including the model with non-separable potential by making use of δ N formalism. Many authors have investigated the possibility of large non-Gaussianity for the models with separable potential, and they have found that the non-linear parameter, f NL , is suppressed by the slow-roll parameters. We show that for the non-separable models f NL is given by the product of a factor which is suppressed by the slow-roll parameters and a possible enhancement factor which is given by exponentials of quantities of O(1).
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The condition to neglect quantum fluctuations is |χ̇|π/H^2 > √3/2.
“In order that we can neglect the effect of the quantum fluctuations, the condition we require on the background trajectory is | ˙ χ | π/H 2 > √ 3 / 2 [40].”
From Conditions for large non-Gaussianity in two-field slow-roll inflation (2008) · cites this paper as [40]
The background-equations section (p. 3) discusses neglecting the non-Gaussian contribution of initial field perturbations, not a condition for neglecting quantum fluctuations along a background trajectory. Searches for quantum fluctuations, χ̇, and √3/2 found no passage stating the claimed inequality; equations in our copy are not decoded. (LLM, conf=0.72)
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Cites
Non-Gaussianities in two-field inflation
Vernizzi, F., & Wands, D. (2006) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2006/05/019 · Cited by 274 · see citing works
Spectral running and non-Gaussianity from slow-roll inflation in generalized two-field models
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Cited by
Sorted by citations
Conditions for large non-Gaussianity in two-field slow-roll inflation
Byrnes, C. T., Choi, K.-Y., & Hall, L. M. H. (2008) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2008/10/008 · Cited by 143 · see citing works
- Authors
- Yokoyama, S., Suyama, T., & Tanaka, T.
- Affiliations
- Kyoto University (JP)
- Institute for Cosmic Ray Research (JP)
- Venue
- Journal of Cosmology and Astroparticle Physics
- Publisher
- IOP Publishing
- Published
- 2007-07-17
- Volume
- 2007
- Issue
- 07
- Pages
- 013-013
- ISSN
- 1475-7508 (ISSN-L)
- 1475-7516
- OpenAlex
- W2118496247
- Cited by
- 103
- References
- 2
- Citations by year
- 2026: 2 · 2025: 2 · 2024: 2 · 2022: 2 · 2021: 2 · 2020: 2 · 2018: 6 · 2017: 2 · 2016: 9 · 2015: 4 · 2014: 7 · 2013: 11 · 2012: 14
- FWCI
- 5.59
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Journal of Cosmology and Astroparticle Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Japan Society for the Promotion of Science
- 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
- primordial non-Gaussianity, slow-roll inflation, curvature perturbations, delta N formalism, inflationary perturbations
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