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A Small Cosmological Constant from a Large Extra Dimension
High Energy Physics - Theory · Submitted 31 Jan 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We argue that the strong curvature region of our solutions may effectively cut off the size of the extra dimension, thereby giving rise to macroscopic 4D gravity without a cosmological constant.
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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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The abstract, sentence by sentence
We propose a new approach to the Cosmological Constant Problem which makes essential use of an extra dimension. A model is presented in which the Standard Model vacuum energy ``warps'' the higher-dimensional spacetime while preserving 4D flatness. We argue that the strong curvature region of our solutions may effectively cut off the size of the extra dimension, thereby giving rise to macroscopic 4D gravity without a cosmological constant. In our model, the higher-dimensional gravity dynamics is treated classically with carefully chosen couplings. Our treatment of the Standard Model is however fully quantum field-theoretic, and the 4D flatness of our solutions is robust against Standard Model quantum loops and changes to Standard Model couplings.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We propose a new approach to the Cosmological Constant Problem which makes essential use of an extra dimension. | contribution 1.00 | 0.86 | 0.12 | asserted 0.86 |
| s1 | A model is presented in which the Standard Model vacuum energy ``warps'' the higher-dimensional spacetime while preserving 4D flatness. | contribution 0.59 | 0.90 | 0.12 | asserted 1.00 |
| s2 | We argue that the strong curvature region of our solutions may effectively cut off the size of the extra dimension, thereby giving rise to macroscopic 4D gravity without a cosmological constant. | interpretation 0.82 | 0.76 | 0.77 | hedged possibility 1.00 |
| s3 | In our model, the higher-dimensional gravity dynamics is treated classically with carefully chosen couplings. | method 0.95 | 0.85 | 0.04 | asserted 1.00 |
| s4 | Our treatment of the Standard Model is however fully quantum field-theoretic, and the 4D flatness of our solutions is robust against Standard Model quantum loops and changes to Standard Model couplings. | result 0.48 | 0.89 | 0.10 | asserted 1.00 |
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The paper
Original abstract
We propose a new approach to the Cosmological Constant Problem which makes essential use of an extra dimension. A model is presented in which the Standard Model vacuum energy ``warps'' the higher-dimensional spacetime while preserving 4D flatness. We argue that the strong curvature region of our solutions may effectively cut off the size of the extra dimension, thereby giving rise to macroscopic 4D gravity without a cosmological constant. In our model, the higher-dimensional gravity dynamics is treated classically with carefully chosen couplings. Our treatment of the Standard Model is however fully quantum field-theoretic, and the 4D flatness of our solutions is robust against Standard Model quantum loops and changes to Standard Model couplings.
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References
How the literature uses it
54 arXiv papers cite this in 100 sentences
Papers citing it · 63 sentences without a confident label
Contests it 1 paper
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Warped models with singularities at a finite proper distance were first introduced[For an earlier analysis of models with exponential dilatonic brane potentials see Ref. [ref] .] to address the cosmological constant problem by self-tuning [ref] , although later it was shown that the cosmological constant fine-tuning could not be removed this way [ref] .
Studies on Generalized Warped Five-Dimensional Models · Solving the hierarchy problem · contest 0.73
Builds on it 2 papers
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We now review the logic of the self-tuning mechanism of the cosmological constant introduced in [ref] and extend it to the case of a bulk k-essence scalar.
Self-tuning of the cosmological constant in brane-worlds with $P(X,\phi)$ · Requirements for a self-tuning cosmological constant · 0.94
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These models can also be seen as a natural generalisation of RS [ref] and [ref] , which are contained in our set up.
Nontrival Cosmological Constant in Brane Worlds with Unorthodox Lagrangians · Introduction · 0.97
Compares with it 5 papers
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This is exactly the asymptotic behaviour of the solution found previously by Arkani-Hammed et al in [ref] .
Brane singularities with a scalar field bulk · Flat brane: Finite-distance singularity · 0.99
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This is exactly the asymptotic behavior of the solution found previously by Arkani-Hamed et al in [ref] .
Brane singularities and their avoidance · Collapse type I singularity: Flat brane · 0.93
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An important difference between the treatment in [ref] and here is that, while the choice of $f(ϕ)$ in [ref] is a physical assumption (since the bulk action there is fixed), here the choice of $f(ϕ)$ simply fixes the definition of $ϕ$ (since $P$ is a priori a general function of $X$ and $ϕ$).
Self-tuning of the cosmological constant in brane-worlds with $P(X,\phi)$ · Requirement from junction conditions · 0.91
Cites it as support 1 paper
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This setup is motivated not only by the stringent experimental constraints on the violation of the weak equivalence principle but also by the fact that such a universal coupling is unaffected by loop corrections from the brane fields [ref] .
Self-tuning of the cosmological constant in brane-worlds with $P(X,\phi)$ · Requirements for a self-tuning cosmological constant · 1.00
Cites it as background 27 papers
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In the original version [ref] the model consists of a flat three-brane embedded in a five dimensional bulk space that is filled with a scalar field minimally coupled to the bulk and conformally coupled to the fields on the brane.
The nature of cosmological singularities in isotropic universes and braneworlds · Introduction · 0.86
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Some time ago, an interesting idea to address the cosmological constant problem was proposed, based on the so-called self-tuning mechanism [ref] .
Brane singularities and their avoidance · Introduction · 0.97
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One of them is of course RS1 with GW mechanism, but there are more general models [For an earlier analysis of models with exponential (Liouville) dilatonic brane potentials see Ref. [ref] .] where the IR brane is replaced by a naked curvature singularity [ref] : these models are called soft-wall models [ref] .
Soft-Wall Stabilization · Introduction · 0.83
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