Cited by 288Cosmology and Gravitation TheoriesNoncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical Physics

Non-Gaussianity in multifield inflation

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Bernardeau, Francis, Uzan, Jean-Philippe·2002·Physical Review D

Abstract

This article investigates the generation of non-Gaussianity during inflation. In the context of multifield inflation, we detail a mechanism that can create significant primordial non-Gaussianities in the adiabatic mode while preserving the scale invariance of the power spectrum. This mechanism is based on the generation of non-Gaussian isocurvature fluctuations which are then transferred to the adiabatic modes through a bend in the classical inflaton trajectory. Natural realizations involve quartic self-interaction terms for which a full computation can be performed. The expected statistical properties of the resulting metric fluctuations are shown to be the superposition of a Gaussian and a non-Gaussian contribution of the same variance. The relative weight of these two contributions is related to the total bending in field space. We explicit the non-Gaussian probability distribution function which appears to be described by a single new parameter. Only two new parameters therefore suffice in describing the non-Gaussianity.

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  • Non-adiabatic perturbations produced during multi-field inflation can generate detectable non-Gaussianity in the density field after inflation, in models such as the curvaton scenario or reheating.

    “Furthermore, non-adiabatic perturbations produced during multi-field inflation can certainly generate detectable non-Gaussianity in the density field after inflation, in models such as the curvaton scenario [10] (see also [11]) or reheating [12, 13, 14, 15].”

    From Non-Gaussianities in two-field inflation (2006) · cites this paper as [11]

    The Abstract and Conclusions support the central point: non-Gaussian isocurvature perturbations in multifield inflation can transfer to adiabatic perturbations and produce significant primordial non-Gaussianity. But Section III says the paper's transfer mechanism is effective only during inflation; it does not establish the curvaton or post-inflation reheating examples attached to this citation. (LLM, conf=0.88)

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Research works printed but not linked: 16

  1. A.R. Liddle and D.H. Lyth, Cosmological inflation and large-scale structure, Cambridge University Press (Cambrige, UK, 2000).
  2. M. Bucher, K. Moodley, and N. Turok, astro-ph/0007360. · arXiv
  3. P.J. E. Peebles, Astrophys. J. 483 L1; R. Scoccimarro, astro-ph/0002037. · arXiv
  4. L. Perivolaropoulos, hep-ph/9212228. · arXiv
  5. A. Gangui, J. Martin, and M. Sakellariadou, astro-ph/0205202. · arXiv
  6. I. Antoniadis, P.O. Mazur, and E. Motola, astro-ph/9705200. · arXiv
  7. N. Bartolo, S. Matarrese, and A. Riotto, hep-ph/0112261. · arXiv
  8. H.B. Sanvik and J. Magueijo, astro-ph/0010395. · arXiv
  9. M.G. Santos et al., astro-ph/0107588. · arXiv
  10. F. Bernardeau, S. Colombi, E. Gaztañaga, and R. Scoccimaro, astro-ph/0112551. · arXiv
  11. F. Bernardeau, Y. Mellier, and L. van Waerbeke, astro-ph/0201029. · arXiv
  12. F. Bernardeau, Y. Mellier, and L. van Waerbeke, astro-ph/0201032. · arXiv
  13. S. Hawking and G.F.R. Ellis, Large scales structure of spacetime, Cambridge University Press (1973).
  14. N.D. Birrell and P.C.W. Davies, Quantum fields in curved space, Cambridge University Press (1982).
  15. B.S. de Witt, in Relativity, groups and topology II, Proceedings of Les Houches summer school 1983, edited by B.S. de Witt and R. Stora, (North Holland, Amsterdam, 1984).
  16. A.J. Tolley and N. Turok, hep-th/0108119. · arXiv

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Authors
Bernardeau, F., & Uzan, J.-P.
Affiliations
Centre National de la Recherche Scientifique (FR)
Venue
Physical Review D
Published
2002-11-21
Volume
66
Issue
10
ISSN
  • 0556-2821 (ISSN-L)
  • 1089-4918
OpenAlex
W2242501075
Cited by
288
References
0
Citations by year
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FWCI
12.90
Type
journal article
Language
en
Open access
Locations
  • Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (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 › Black Holes and Theoretical Physics
Keywords
primordial non-Gaussianity, multi-field inflation, isocurvature fluctuations, adiabatic modes, scale-invariant spectrum, quartic self-interaction, metric fluctuations, non-Gaussian distributions

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