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Coleman-de Luccia instanton in dRGT massive gravity

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Ying-li Zhang, Ryo Saito, Dong-han Yeom, Misao Sasaki

High Energy Physics - Theory · Submitted 3 Dec 2013

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

The authors' main claim However, deviations of tunneling rate from GR arise when one goes beyond the thin-wall approximation and they change monotonically until the Hawking-Moss (HM) case.

how it is stated · asserted 1.00 read the record →

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arXiv ID1312.0709 (version 2)
Pith IDVFHBJMIC, Pith's permanent record of this paper and its review
CitationDong-han Yeom, Misao Sasaki, Ryo Saito, Ying-li Zhang. "Coleman-de Luccia instanton in dRGT massive gravity." arXiv:1312.0709 (2013). https://pith.science/paper/VFHBJMIC
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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-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,837 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.40 · human participants 0.01 · controlled comparison 0.68 · randomized assignment 0.01 · states quantitative result 0.46 · compares with prior results 0.96 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We study the Coleman-de Luccia (CDL) instanton characterizing the tunneling from a false vacuum to the true vacuum in a semi-classical way in dRGT (deRham-Gabadadze-Tolley) massive gravity theory, and evaluate the dependence of the tunneling rate on the model parameters. It is found that provided with the same physical Hubble parameters for the true vacuum $H_{\rm T}$ and the false vacuum $H_{\rm F}$ as in General Relativity (GR), the thin-wall approximation method implies the same tunneling rate as GR. However, deviations of tunneling rate from GR arise when one goes beyond the thin-wall approximation and they change monotonically until the Hawking-Moss (HM) case. Moreover, under the thin-wall approximation, the HM process may dominate over the CDL one if the value for the graviton mass is larger than the inverse of the radius of the bubble.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We study the Coleman-de Luccia (CDL) instanton characterizing the tunneling from a false vacuum to the true vacuum in a semi-classical way in dRGT (deRham-Gabadadze-Tolley) massive gravity theory, and evaluate the dependence of the tunneling rate on the model parameters. contribution 1.00 0.94 0.09 asserted 0.92
s1 It is found that provided with the same physical Hubble parameters for the true vacuum $H_{\rm T}$ and the false vacuum $H_{\rm F}$ as in General Relativity (GR), the thin-wall approximation method implies the same tunneling rate as GR. result 1.00 0.93 0.28 asserted 1.00
s2 However, deviations of tunneling rate from GR arise when one goes beyond the thin-wall approximation and they change monotonically until the Hawking-Moss (HM) case. result 1.00 0.89 0.31 asserted 1.00
s3 Moreover, under the thin-wall approximation, the HM process may dominate over the CDL one if the value for the graviton mass is larger than the inverse of the radius of the bubble. result 1.00 0.84 0.16 hedged possibility 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

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  • T body sentences
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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

We study the Coleman-de Luccia (CDL) instanton characterizing the tunneling from a false vacuum to the true vacuum in a semi-classical way in dRGT (deRham-Gabadadze-Tolley) massive gravity theory, and evaluate the dependence of the tunneling rate on the model parameters. It is found that provided with the same physical Hubble parameters for the true vacuum $H_{\rm T}$ and the false vacuum $H_{\rm F}$ as in General Relativity (GR), the thin-wall approximation method implies the same tunneling rate as GR. However, deviations of tunneling rate from GR arise when one goes beyond the thin-wall approximation and they change monotonically until the Hawking-Moss (HM) case. Moreover, under the thin-wall approximation, the HM process may dominate over the CDL one if the value for the graviton mass is larger than the inverse of the radius of the bubble.

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3 arXiv papers cite this in 3 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 · 1 sentence without a confident label

Cites it as background 2 papers
  • In the context of dRGT massive gravity, the Hawking-Moss (HM) [ref] and Coleman-De Luccia (CDL) [ref] instantons were studied in [ref] .

    Homogeneous Instantons in Bigravity · Introduction · 0.83

  • The numerical study of bounce solution can be found in the literature [ref] , but the systematic study for various types of potential have not been performed, as far as we know.

    Numerical Analysis of Coleman-de Luccia Tunneling · Coleman-de Luccia Tunneling · 0.88

What it cites · 38 sentences without a confident label

Cites as background 12 papers
  • The Hawking-Moss (HM) instanton in nonlinear massive gravity has been discussed in details in Ref. [ref] .

    Hawking-Moss instanton in nonlinear massive gravity · A brief summary of Hawking-Moss instanton in nonlinear massive gravity · 0.96

  • The dRGT massive gravity is composed of two metrics, namely a physical metric $g_μν$ and a fiducial metric $G_ab$, with the Stückelberg fields $ϕ^a$ [ref] .

    Generalization of the Fierz-Pauli Action · Setup of model · 0.95

  • The dRGT massive gravity is composed of two metrics, namely a physical metric $g_μν$ and a fiducial metric $G_ab$, with the Stückelberg fields $ϕ^a$ [ref] .

    Resummation of Massive Gravity · Setup of model · 0.95

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