Quantitative bispectra from multifield inflation
Open accessAbstract
After simplifying and improving the non-Gaussian formalism we developed in previous work, we derive a quantitative expression for the three-point correlator (bispectrum) of the curvature perturbation in general multiple-field inflation models. Our result describes the evolution of non-Gaussianity on superhorizon scales caused by the nonlinear influence of isocurvature perturbations on the adiabatic perturbation during inflation. We then study a simple quadratic two-field potential and find that, when slow roll breaks down and the field trajectory changes direction in field space, the non-Gaussianity can become large. However, for the simple models studied to date, the magnitude of this non-Gaussianity decays away after the isocurvature mode is converted into the adiabatic mode.
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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 [39]
The numerical investigation (p. 5) describes a two-field quadratic potential, but does not identify a χ-field potential dominated by ½m²χ². Searches for the exponential expansion, the −½λm²φ²χ² interaction, and preheating found no passage addressing those parts of the claim. (LLM, conf=0.74)
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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
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Research works printed but not linked: 12
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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
Spectral running and non-Gaussianity from slow-roll inflation in generalized two-field models
Choi, K.-Y., Hall, L. M. H., & Bruck, C. V. D. (2007) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2007/02/029 · Cited by 98 · see citing works
- Authors
- Rigopoulos, G. I., Shellard, E. P. S., & van Tent, B. J. W.
- Affiliations
- Utrecht University (NL)
- University of Cambridge (GB)
- ORCID
- Rigopoulos, G. I.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2007-10-16
- Volume
- 76
- Issue
- 8
- Pages
- 085312
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W1970714248
- Cited by
- 102
- References
- 1
- Citations by year
- 2025: 3 · 2024: 5 · 2021: 3 · 2020: 1 · 2019: 3 · 2018: 1 · 2017: 3 · 2016: 7 · 2015: 4 · 2014: 6 · 2013: 7 · 2012: 12
- FWCI
- 6.19
- 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) (publishedVersion)
- HAL (publishedVersion)
- 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 › Black Holes and Theoretical Physics
- Keywords
- multi-field inflation, bispectrum, non-Gaussianity, curvature perturbations, isocurvature perturbations, adiabatic perturbations, superhorizon scales, two-field inflation, quadratic potential
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