Non-Gaussianity from Broken Symmetries

Alberto Vallinotto; Antonio Riotto; Edward W. Kolb

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Non-Gaussianity from Broken Symmetries

Edward W. Kolb, Antonio Riotto, Alberto Vallinotto

Astrophysics · Submitted 7 Nov 2005

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We find that the corresponding nonlinearity parameter, $f_{NL}$, can be as large as 10^2.

how it is stated · asserted 0.74 read the record →

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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,535 input tokens.

What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.98 · compares with prior results 0.20 · mentions code or data availability 0.02.

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arXiv listing abstract v1. Results and the main claim are underlined; show every role.

Recently we studied inflation models in which the inflaton potential is characterized by an underlying approximate global symmetry. In the first work we pointed out that in such a model curvature perturbations are generated after the end of the slow-roll phase of inflation. In this work we develop further the observational implications of the model and compute the degree of non-Gaussianity predicted in the scenario. We find that the corresponding nonlinearity parameter, $f_{NL}$, can be as large as 10^2.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Recently we studied inflation models in which the inflaton potential is characterized by an underlying approximate global symmetry.	background 0.97	0.67	0.03	asserted 0.96
s1	In the first work we pointed out that in such a model curvature perturbations are generated after the end of the slow-roll phase of inflation.	background 0.75	0.83	0.05	asserted 1.00
s2	In this work we develop further the observational implications of the model and compute the degree of non-Gaussianity predicted in the scenario.	contribution 1.00	0.93	0.09	asserted 0.93
s3	We find that the corresponding nonlinearity parameter, $f_{NL}$, can be as large as 10^2.	result 1.00	0.96	0.83	asserted 0.74

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.70.

What was examined, and what was not

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arXiv listing abstract v1

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full text
figures and tables
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

Recently we studied inflation models in which the inflaton potential is characterized by an underlying approximate global symmetry. In the first work we pointed out that in such a model curvature perturbations are generated after the end of the slow-roll phase of inflation. In this work we develop further the observational implications of the model and compute the degree of non-Gaussianity predicted in the scenario. We find that the corresponding nonlinearity parameter, $f_{NL}$, can be as large as 10^2.

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References

Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Planck 2013 Results. XXIV. Constraints on primordial non-Gaussianity
astro-ph.CO 2013-03 accept novelty 6.0 of 10

Planck finds no primordial non-Gaussianity at the 5.8 level in the local shape, tightening the constraint by roughly a factor of three over WMAP and bounding the sound speed and curvaton decay fraction.
Cosmological perturbations
astro-ph 2008-09 accept novelty 3.0 of 10

A comprehensive review that organizes cosmological perturbation theory around gauge-invariant variables defined by physical coordinate choices, with explicit first- and second-order transformation rules and evolution ...
Local non-Gaussianity from inflation
astro-ph.CO 2010-04 accept novelty 2.0 of 10

Local primordial non-Gaussianity can be computed with the delta-N formalism and is predicted at potentially observable levels by curvaton, modulated reheating, and ekpyrotic models.
Multiple field inflation
astro-ph 2007-02 accept novelty 2.0 of 10

Multiple light fields during inflation can source the curvature perturbation after Hubble exit, leaving observable non-Gaussianity or isocurvature signatures that could distinguish multi-field from single-field inflation.

How the literature uses it

9 arXiv papers cite this in 11 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 7 sentences without a confident label

Compares with it 1 paper

Our result for $f_NL$ is not the same as the result in [ref] .

Constraints on generating the primordial curvature perturbation and non-Gaussianity from instant preheating · Non-Gaussianity · 0.81

Cites it as background 3 papers

Other phenomenological generation mechanisms of large local-type non-Gaussianity include Refs. [ref] .

Gravitino Dark Matter and Non-Gaussianity · Introduction · 0.97
Local non-Gaussianity is predicted to arise from standard single-field slow-roll inflation [ref] , although at a very tiny level, as well as from multi-field inflationary scenarios, like the curvaton [ref] or inhomogeneous (pre)reheating models [ref] ).

On the linear term correction for needlets/wavelets non-Gaussianity estimators · Introduction · 0.90
References to many inflationary non-Gaussianity papers can be found in sections [ref], [ref], and [ref], while we give a few more early ones here: [ref] .

Non-Gaussianity in Cosmology: from Inflation to the CMB · Introduction · 0.99

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