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Oscillating instantons as homogeneous tunneling channels

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Bum-Hoon Lee, Wonwoo Lee, Dong-han Yeom

High Energy Physics - Theory · Submitted 29 Jun 2012

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

The authors' main claim Thus, for a general vacuum decay problem, we should not ignore the oscillating instanton channels.

how it is stated · asserted 0.79 read the record →

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arXiv ID1206.7040 (version 4)
Pith IDMRWIWRMC, Pith's permanent record of this paper and its review
CitationBum-Hoon Lee, Dong-han Yeom, Wonwoo Lee. "Oscillating instantons as homogeneous tunneling channels." arXiv:1206.7040 (2012). https://pith.science/paper/MRWIWRMC
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,315 input tokens, $0.0003 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.26 · human participants 0.01 · controlled comparison 0.34 · randomized assignment 0.01 · states quantitative result 0.11 · compares with prior results 0.95 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v4. Results and the main claim are underlined; .

In this paper, we study Einstein gravity with a minimally coupled scalar field accompanied with a potential, assuming an O(4) symmetric metric ansatz. We call an Euclidean instanton is to be an oscillating instanton, if there exists a point where the derivative of the scale factor and the scalar field vanish at the same time. Then we can prove that the oscillating instanton can be analytically continued, both as inhomogeneous and homogeneous tunneling channels. Here, we especially focus on the possibility of a homogeneous tunneling channel. For the existence of such an instanton, we have to assume three things: (1) there should be a local maximum and the curvature of the maximum should be sufficiently large, (2) there should be a local minimum and (3) the other side of the potential should have a sufficiently deeper vacuum. Then, we can show that there exists a number of oscillating instanton solutions and their probabilities are higher compared to the Hawking-Moss instantons. We also check the possibility when the oscillating instantons are comparable with the Coleman-DeLuccia channels. Thus, for a general vacuum decay problem, we should not ignore the oscillating instanton channels.

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 In this paper, we study Einstein gravity with a minimally coupled scalar field accompanied with a potential, assuming an O(4) symmetric metric ansatz. contribution 0.54 0.70 0.02 asserted 0.81
s1 We call an Euclidean instanton is to be an oscillating instanton, if there exists a point where the derivative of the scale factor and the scalar field vanish at the same time. method 0.47 0.48 0.03 asserted 1.00
s2 Then we can prove that the oscillating instanton can be analytically continued, both as inhomogeneous and homogeneous tunneling channels. result 0.95 0.91 0.28 asserted 1.00
s3 Here, we especially focus on the possibility of a homogeneous tunneling channel. contribution 0.89 0.78 0.04 asserted 0.67
s4 For the existence of such an instanton, we have to assume three things: (1) there should be a local maximum and the curvature of the maximum should be sufficiently large, (2) there should be a local minimum and (3) the other side of the potential should have a sufficiently deeper vacuum. method 0.68 0.48 0.05 asserted 0.93
s5 Then, we can show that there exists a number of oscillating instanton solutions and their probabilities are higher compared to the Hawking-Moss instantons. result 1.00 0.93 0.21 asserted 1.00
s6 We also check the possibility when the oscillating instantons are comparable with the Coleman-DeLuccia channels. contribution 0.81 0.86 0.04 hedged possibility 0.81
s7 Thus, for a general vacuum decay problem, we should not ignore the oscillating instanton channels. interpretation 0.98 0.50 0.83 asserted 0.79

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

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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

In this paper, we study Einstein gravity with a minimally coupled scalar field accompanied with a potential, assuming an O(4) symmetric metric ansatz. We call an Euclidean instanton is to be an oscillating instanton, if there exists a point where the derivative of the scale factor and the scalar field vanish at the same time. Then we can prove that the oscillating instanton can be analytically continued, both as inhomogeneous and homogeneous tunneling channels. Here, we especially focus on the possibility of a homogeneous tunneling channel. For the existence of such an instanton, we have to assume three things: (1) there should be a local maximum and the curvature of the maximum should be sufficiently large, (2) there should be a local minimum and (3) the other side of the potential should have a sufficiently deeper vacuum. Then, we can show that there exists a number of oscillating instanton solutions and their probabilities are higher compared to the Hawking-Moss instantons. We also check the possibility when the oscillating instantons are comparable with the Coleman-DeLuccia channels. Thus, for a general vacuum decay problem, we should not ignore the oscillating instanton channels.

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12 arXiv papers cite this in 13 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 · 10 sentences without a confident label

Uses its method or tool 1 paper
Cites it as background 2 papers
  • Despite significant progress, the prescription for evaluating the pre-exponential factor $A$ in the transition probability amplitude remains a topic of debate, particularly concerning the existence and implications of single or multiple negative modes [ref] .

    Nucleation of de Sitter from the anti de Sitter spacetime in scalar field models · Vacuum transition processes in presence of gravity · 0.91

  • The oscillating instantons as homogeneous tunneling channels have been also studied [ref] .

    Fubini instantons in curved space · Summary and Discussions · 0.93

What it cites · 30 sentences without a confident label

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