Inflationary Prediction for Primordial Non-Gaussianity
Open accessAbstract
We extend the deltaN formalism so that it gives all of the stochastic properties of the primordial curvature perturbation zeta if the initial field perturbations are Gaussian. The calculation requires only the knowledge of some family of unperturbed universes. A formula is given for the normalization f(NL) of the bispectrum of zeta, which is the main signal of non-Gaussianity. Examples of the use of the formula are given, and its relation to cosmological perturbation theory is explained.
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Similar cases with canonical kinetic terms were previously studied in [38], where they were shown not to generate significant non-Gaussianity.
“Similar cases with canonical kinetic terms were previously studied in [38], where it was shown that they do not generate significant non-Gaussianity.”
From Spectral running and non-Gaussianity from slow-roll inflation in generalized two-field models (2007) · cites this paper as [38]
The two-component inflation-model example (p. 3) finds non-Gaussianity too small to observe, supporting the claim for that case. But another two-component model (p. 4) can yield |f_NL| > 1 under specified conditions. The paper therefore does not support the unqualified statement that similar cases do not generate significant non-Gaussianity; the passages also do not identify the models by their kinetic terms. (LLM, conf=0.84)
Experimental — accuracy not yet measuredIn previous work [38], for theories with canonical kinetic terms and a sum potential, f_NL ≈ 1/N.
“In previous work, [38], for theories with canonical kinetic terms and a sum potential, f NL ≈ 1/N .”
From Spectral running and non-Gaussianity from slow-roll inflation in generalized two-field models (2007) · cites this paper as [38]
In “A two-component inflation model” (p. 3), the paper gives N ∝ |θc/θ| and f_NL ≃ |θ/θc|, implying f_NL ∝ 1/N for that particular model. It does not establish the claimed result generally for theories with canonical kinetic terms and a sum potential; its other two-component example (p. 4) instead discusses conditions yielding |f_NL| > 1. (LLM, conf=0.82)
Experimental — accuracy not yet measuredThe definition of N as the volume expansion rate of the t=const hypersurface holds also at second or higher order in cosmological perturbations.
“This definition is not restricted to linear theory but holds also at second or higher order in the cosmological perturbations [32, 33, 18, 21].”
From Non-Gaussianities in two-field inflation (2006) · cites this paper as [21]
When b(φ) = 0, the calculation of f(4)_NL simplifies and the result is identical to that found in [38].
“When b(ϕ) = 0, this calculation of f (4) NL simplifies, since B S = C S = G = H = 0, α u = α v = 1, (4.29) and the result is identical to that found in [38].”
From Spectral running and non-Gaussianity from slow-roll inflation in generalized two-field models (2007) · cites this paper as [38]
The bispectrum discussion (p. 2) says the paper calculates f_NL, but our copy does not decode the resulting formula. Searches for b(φ) and the named terms did not find the b(φ)=0 simplification, so the claimed identity between the two results cannot be checked from our copy. (LLM, conf=0.70)
Experimental — accuracy not yet measured
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Spectral running and non-Gaussianity from slow-roll inflation in generalized two-field models
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- Authors
- Lyth, D. H., & Rodríguez, Y.
- Affiliations
- Lancaster University (GB)
- Universidad Antonio Nariño (CO)
- ORCID
- Rodríguez, Yeinzon
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2005-09-16
- Volume
- 95
- Issue
- 12
- Pages
- 121302-121302
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1977668606
- Cited by
- 630
- References
- 0
- Citations by year
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- FWCI
- 21.50
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- PubMed (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 › Astronomy and Astrophysics › Galaxies: Formation, Evolution, Phenomena
- Keywords
- primordial non-Gaussianity, inflation (cosmology), curvature perturbations, bispectrum, cosmological perturbation theory
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