Non-Gaussianity in curvaton models with nearly quadratic potentials
Open accessAbstract
We consider curvaton models with potentials that depart slightly from the quadratic form. We show that although such a small departure does not significantly modify the Gaussian part of the curvature perturbation, it can have a pronounced effect on the level of non-Gaussianity. We find that unlike in the quadratic case, the limit of small non-Gaussianity, , is quite possible even with small curvaton energy density . Furthermore, non-Gaussianity does not imply any strict bounds on r , but the bounds depend on the assumptions about the higher order terms in the curvaton potential.
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With a product potential, local non-Gaussianity is given by [21].
“With a product potential, the local non-Gaussianity is given by [21]:”
From Conditions for large non-Gaussianity in two-field slow-roll inflation (2008) · cites this paper as [21]
Section 2 (p. 4) gives a non-linearity parameter for the curvaton model, and Section 3 (p. 5) specifies a nearly quadratic potential with a small correction. The copy does not establish that this expression applies to a product potential, so the potential specified in the citing sentence is unsupported. (LLM, conf=0.82)
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Cited by
Sorted by citations
Review of Local Non‐Gaussianity from Multifield Inflation
Byrnes, C. T., & Choi, K.-Y. (2010) · Advances in Astronomy · doi:10.1155/2010/724525 · Cited by 178 · see citing works
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
- Enqvist, K., & Nurmi, S.
- Affiliations
- University of Helsinki (FI)
- ORCID
- Enqvist, Kari
- Venue
- Journal of Cosmology and Astroparticle Physics
- Publisher
- IOP Publishing
- Published
- 2005-10-25
- Volume
- 2005
- Issue
- 10
- Pages
- 013-013
- ISSN
- 1475-7508 (ISSN-L)
- 1475-7516
- OpenAlex
- W1990800008
- Cited by
- 138
- References
- 0
- Citations by year
- 2025: 6 · 2024: 2 · 2023: 2 · 2022: 1 · 2021: 2 · 2017: 1 · 2016: 4 · 2015: 6 · 2014: 6 · 2013: 17 · 2012: 11
- FWCI
- 6.01
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Journal of Cosmology and Astroparticle Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- 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 › Dark Matter and Cosmic Phenomena
- Keywords
- curvaton, non-Gaussianity, curvature perturbations, primordial power spectrum, inflation (cosmology), tensor-to-scalar ratio
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