Primordial non-Gaussianity in multiscalar inflation
Open accessAbstract
We give a concise formula for the non-Gaussianity of the primordial curvature perturbation generated on superhorizon scales in the multiscalar inflation model without assuming slow-roll conditions. This is an extension of our previous work. Using this formula, we study the generation of non-Gaussianity for the double inflation models in which the slow-roll conditions are temporarily violated after horizon exit, and we show that the nonlinear parameter ${f}_{\mathrm{NL}}$ for such models is suppressed by the slow-roll parameters evaluated at the time of horizon exit.
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[41] has shown the first explicit example of an inflation model where higher-order terms cannot be neglected.
“These 'higher order' terms are usually neglected, but [41] has shown the first explicit example of an inflation model where they cannot be neglected.”
From Conditions for large non-Gaussianity in two-field slow-roll inflation (2008) · cites this paper as [41]
Section III describes an explicit double-inflation model in which slow-roll conditions are temporarily violated. But the paper does not call it the first such example or show that the unspecified higher-order terms cannot be neglected; its Summary instead says the final non-Gaussianity remains suppressed. (LLM, conf=0.78)
Experimental — accuracy not yet measuredCogollo et al. have calculated the effect of the loop correction to the primordial power spectrum and bispectrum.
“Very recently Cogollo et al. have calculated the effect of the loop correction to the primordial power spectrum and bispectrum [41].”
From Conditions for large non-Gaussianity in two-field slow-roll inflation (2008) · cites this paper as [41]
The Introduction and the section on the nonlinear parameter discuss primordial non-Gaussianity, the power spectrum, and the bispectrum, but do not identify a calculation by Cogollo et al. Searches for Cogollo and for loop corrections to the power spectrum and bispectrum found no passage addressing the attributed claim in our copy. (LLM, conf=0.72)
Experimental — accuracy not yet measuredFor the explicit values in Table I, the loop correction does not dominate.
“We have checked that for the explicit values given in the table the loop correction does not dominate (under the assumption that the same loop correction is dominant here as the one in [41]).”
From Conditions for large non-Gaussianity in two-field slow-roll inflation (2008) · cites this paper as [41]
The cited paper’s section on the approximate analytical expression for fNL gives example parameter values, but it does not identify them as Table I values or assess whether a loop correction dominates. Searches for Table I and loop-correction dominance found no passage addressing that check. (LLM, conf=0.76)
Experimental — accuracy not yet measuredIn the 2-field hybrid model with the same potential as Eqn. (67), an unstable straight trajectory, and α and β both negative, for certain initial values the loop correction is dominant and can generate an observable f_NL.
“They consider a 2-field hybrid model with the same potential as Eqn. (67) in the special case of an unstable straight trajectory along one of the axes, with α and β both negative. In this case, they find (for certain initial values) the loop correction is dominant and can generate an observable f NL .”
From Conditions for large non-Gaussianity in two-field slow-roll inflation (2008) · cites this paper as [41]
Section III studies a two-field double-inflation model with a quadratic potential, not the specified hybrid model. Searches for a hybrid potential, negative α and β, an unstable straight trajectory, and a dominant loop correction found no passage addressing those conditions. The paper’s small final f_NL result concerns its different model, so it does not contradict the claim about the hybrid model. (LLM, conf=0.78)
Experimental — accuracy not yet measured
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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
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- Authors
- Yokoyama, S., Suyama, T., & Tanaka, T.
- Affiliations
- Kyoto University (JP)
- Institute for Cosmic Ray Research (JP)
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2008-04-21
- Volume
- 77
- Issue
- 8
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2161628068
- Cited by
- 101
- References
- 2
- Citations by year
- 2026: 2 · 2025: 3 · 2024: 3 · 2022: 3 · 2021: 4 · 2020: 1 · 2018: 8 · 2017: 2 · 2016: 9 · 2015: 3 · 2014: 5 · 2013: 7 · 2012: 13
- FWCI
- 7.39
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Ministry of Education, Culture, Sports, Science and Technology
- Yukawa Institute for Theoretical Physics, Kyoto 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, curvature perturbations, superhorizon scales, double inflation, cosmic inflation
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