A Toy Model for Open Inflation

Andrei Linde

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A Toy Model for Open Inflation

Andrei Linde

High Energy Physics - Phenomenology · Submitted 27 Jul 1998

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

The authors' main claim We propose a simple one-field model where the CDL instanton does exist and the open inflation scenario can be realized.

how it is stated · asserted 0.93 read the record →

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The compiled record

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What the abstract itself states, as probabilities: claims first 0.18 · states limitation 0.09 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.88 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; show every role.

The open inflation scenario based on the theory of bubble formation in the models of a single scalar field suffered from a fatal defect. In all the versions of this scenario known so far, the Coleman-De Luccia instantons describing the creation of an open universe did not exist. We propose a simple one-field model where the CDL instanton does exist and the open inflation scenario can be realized.

background contribution method result interpretation main claim

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	The open inflation scenario based on the theory of bubble formation in the models of a single scalar field suffered from a fatal defect.	background 0.91	0.07	0.04	asserted 1.00
s1	In all the versions of this scenario known so far, the Coleman-De Luccia instantons describing the creation of an open universe did not exist.	background 0.61	0.08	0.04	asserted 1.00
s2	We propose a simple one-field model where the CDL instanton does exist and the open inflation scenario can be realized.	contribution 1.00	0.91	0.91	asserted 0.93

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.88.

What was examined, and what was not

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arXiv listing abstract v3

not examined

full text
figures and tables
references and citing sentences
relations to other papers

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P abstract

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S sections
T body sentences
C citations
R cross-paper relations

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

The open inflation scenario based on the theory of bubble formation in the models of a single scalar field suffered from a fatal defect. In all the versions of this scenario known so far, the Coleman-De Luccia instantons describing the creation of an open universe did not exist. We propose a simple one-field model where the CDL instanton does exist and the open inflation scenario can be realized.

Human review

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References

Forward citations

Cited by 8 Pith papers

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

Hypernatural inflation
hep-th 2018-03 conditional novelty 7.0 of 10

Natural inflation with the axion as the inflaton is realized in α-attractor supergravity, where hyperbolic field-space geometry makes the effective axion decay constant exponentially large.
Planck 2015 results. XIII. Cosmological parameters
astro-ph.CO 2015-02 accept novelty 6.0 of 10

Full-mission Planck temperature and polarization data are consistent with six-parameter flat Lambda-CDM, yielding H0 = 67.8 +/- 0.9, Omega_m = 0.308 +/- 0.012, ns = 0.968 +/- 0.006, and tau = 0.066 +/- 0.016.
Planck 2013 results. XVI. Cosmological parameters
astro-ph.CO 2013-03 conditional novelty 6.0 of 10

Planck's first CMB temperature and lensing spectra fit a flat six-parameter LambdaCDM model at high multipoles and yield H0 = 67.3 +/- 1.2 km/s/Mpc, Omega_m = 0.315 +/- 0.017, and no evidence for extra relativistic sp...
Inflation, Open Universes, and Dark Energy
astro-ph.CO 2026-07 conditional novelty 5.0 of 10

A slightly open universe with Ω_k ≈ 3×10^{-3} pulls n_s down to ~0.969, reconciling plateau inflation models with combined CMB and DESI data.
Wiggly Whipped Inflation
astro-ph.CO 2014-05 conditional novelty 5.0 of 10

Adding a smoothed step to the Whipped Inflation potential generates wiggles in the primordial power spectrum that improve fits to Planck low- and high-multipole temperature data while preserving BICEP2-scale tensors.

Show 3 more citing papers

Open inflation in the landscape
hep-th 2011-05 conditional novelty 5.0 of 10

In single-field open inflation, the slope of the potential right after bubble nucleation decides whether tensor CMB anisotropies remember the high tunneling energy scale or only the later, low-scale slow-roll Hubble rate.
Chaotic Inflation in Supergravity after Planck and BICEP2
hep-th 2014-05 conditional novelty 4.0 of 10

A cubic term added to the superpotential of quadratic chaotic inflation in supergravity produces a two-parameter family of potentials whose tilt and tensor ratio can be fitted to Planck 2013 and BICEP2 data.
Whipped inflation
astro-ph.CO 2014-04 conditional novelty 4.0 of 10

A two-stage inflaton potential with an initial fast-roll phase suppresses large-scale scalar power and raises the tensor-to-scalar ratio, improving the joint fit to Planck and BICEP2 data over a power-law spectrum.

How the literature uses it

12 arXiv papers cite this in 23 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 · 18 sentences without a confident label

Builds on it 1 paper

In this paper we revisit the toy models of open inflation presented in [ref] and [ref] , and investigate their ability to produce a suppression of the large-scale scalar spectrum whilst evading observational constraints on $Ω_K$.

Scalar suppression on large scales in open inflation · Introduction · 0.91

Cites it as background 4 papers

Up to now, only one explicit model of this type was proposed [ref] , but the inflaton potential of this model is quite complicated.

Open inflation in the landscape · Introduction · 0.83
Open inflation after CDL tunneling was discussed before in the context of single-field chaotic inflation in a quadratic potential [ref] .

A Toy Model For Single Field Open Inflation · Introduction · 0.84
Such models are described in [ref] for example.

Is Eternal Inflation Eternal? · 2. Brief Review: Eternal Inflation and Bubble Universes · 0.98

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