RECORD
On cosmological perturbations in FRW model with scalar field and false vacuum decay
General Relativity and Quantum Cosmology · Submitted 15 Jan 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In this representation, the existence of a negative mode justifying the false vacuum decay picture turns out to be manifest.
The compiled record
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.
Open the compiled record
The abstract, sentence by sentence
The unconstrained reduced action corresponding to the dynamics of scalar fluctuations about the Friedmann-Robertson-Walker (FRW) background is derived using Dirac's method of description of singular Lagrangian systems. The results are applied to so-called negative mode problem in description of tunneling transitions with gravity. With our special choice of physical variable, the kinetic term of the reduced action has a conventional signature for a wide class of models. In this representation, the existence of a negative mode justifying the false vacuum decay picture turns out to be manifest. We also explain how the present result becomes consistent with the previously proved ``no negative mode (supercritical supercurvature mode) theorem''.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The unconstrained reduced action corresponding to the dynamics of scalar fluctuations about the Friedmann-Robertson-Walker (FRW) background is derived using Dirac's method of description of singular Lagrangian systems. | method 0.68 | 0.94 | 0.08 | asserted 1.00 |
| s1 | The results are applied to so-called negative mode problem in description of tunneling transitions with gravity. | contribution 0.75 | 0.80 | 0.08 | asserted 0.99 |
| s2 | With our special choice of physical variable, the kinetic term of the reduced action has a conventional signature for a wide class of models. | result 0.68 | 0.93 | 0.11 | asserted 1.00 |
| s3 | In this representation, the existence of a negative mode justifying the false vacuum decay picture turns out to be manifest. | result 0.75 | 0.91 | 0.53 | asserted 1.00 |
| s4 | We also explain how the present result becomes consistent with the previously proved ``no negative mode (supercritical supercurvature mode) theorem''. | interpretation 0.83 | 0.76 | 0.15 | asserted 0.67 |
What was examined, and what was not
- arXiv listing abstract v3
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
The unconstrained reduced action corresponding to the dynamics of scalar fluctuations about the Friedmann-Robertson-Walker (FRW) background is derived using Dirac's method of description of singular Lagrangian systems. The results are applied to so-called negative mode problem in description of tunneling transitions with gravity. With our special choice of physical variable, the kinetic term of the reduced action has a conventional signature for a wide class of models. In this representation, the existence of a negative mode justifying the false vacuum decay picture turns out to be manifest. We also explain how the present result becomes consistent with the previously proved ``no negative mode (supercritical supercurvature mode) theorem''.
Human review
References
How the literature uses it
17 arXiv papers cite this in 34 sentences
Papers citing it · 18 sentences without a confident label
Contests it 1 paper
-
Thus, the gauge fixing condition in Ref. [ref] ($Π_Ψ=0$ and $A-Ψ=0$) is consistent, but the condition in Ref. [ref] ($Π_Ψ=0$ and $A=0$) is inconsistent.
Negative Mode Problem of False Vacuum Decay Revisited · Hamiltonian formulation · contest 0.81
Uses its method or tool 2 papers
-
Using a Hamiltonian approach following Dirac the quadratic action has the form [ref] S^(2)_H= π^2 ∫dηΦ[-d/dη (ρ^3(η)/Q_Hd/dη ) + ρ^3(η) U[φ(η),ρ(η)] ] Φ
Aspects of the negative mode problem in quantum tunneling with gravity · A short summary of the negative mode problem · 0.92
-
In order to derive the Hamiltonian in Eq. (17) in Ref. [ref] , we have to utilize four constraints; $Π_Ψ= 0$, $A-Ψ=0$, $Π_A = 0$, and $φ' Π_Φ- H Π_Ψ+ a^2 √(γ) [ (a^2 (∂V/∂φ) + 3φ' H )Φ- (6K/κ)Ψ] = 0$.
Negative Mode Problem of False Vacuum Decay Revisited · An example in which elimination works · 0.83
Compares with it 1 paper
-
By choosing $Φ̂= Φ+ (κφ'/6√(γ)a^2K)Π_Ψ$, we obtain the same result as KLT [ref] .
Negative Mode Problem of False Vacuum Decay Revisited · Summary and discussions · 0.99
Cites it as background 11 papers
-
The negative modes of the Coleman-de Luccia instanton that represents vacuum decay in de Sitter space have been studied by several authors [ref] , and there is now compelling evidence that the bounce solutions can have either one or infinitely many negative modes, depending on the potential.
Negative modes of Coleman-de Luccia and black hole bubbles · Introduction · 0.82
-
For a real saddle in a Euclidean path integral, one can probe this by investigating whether small real perturbations of the saddle increase or decrease the action.[ One should also take proper care of issues [ref] related to the so-called conformal factor problem which makes the action for Euclidean gravity unbounded below.
The double cone geometry is stable to brane nucleation · Brane nucleation on complex saddles · 0.87
-
Despite quite a few studies [ref] , there is no conclusive answer to this problem yet.
Negative Mode Problem of False Vacuum Decay Revisited · Introduction · 0.91
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.