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Casimir effect in de Sitter and Anti-de Sitter braneworlds
High Energy Physics - Theory · Submitted 27 Sep 2002
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim It is demonstrated that both the dS and the AdS braneworlds may be stabilized by using the Casimir force only.
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The abstract, sentence by sentence
We discuss the bulk Casimir effect (effective potential) for a conformal or massive scalar when the bulk represents five-dimensional AdS or dS space with two or one four-dimensional dS brane, which may correspond to our universe. Using zeta-regularization, the interesting conclusion is reached, that for both bulks in the one-brane limit the effective potential corresponding to the massive or to the conformal scalar is zero. The radion potential in the presence of quantum corrections is found. It is demonstrated that both the dS and the AdS braneworlds may be stabilized by using the Casimir force only. A brief study indicates that bulk quantum effects are relevant for brane cosmology, because they do deform the de Sitter brane. They may also provide a natural mechanism yielding a decrease of the four-dimensional cosmological constant on the physical brane of the two-brane configuration.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We discuss the bulk Casimir effect (effective potential) for a conformal or massive scalar when the bulk represents five-dimensional AdS or dS space with two or one four-dimensional dS brane, which may correspond to our universe. | contribution 0.94 | 0.66 | 0.07 | hedged possibility 0.89 |
| s1 | Using zeta-regularization, the interesting conclusion is reached, that for both bulks in the one-brane limit the effective potential corresponding to the massive or to the conformal scalar is zero. | result 0.99 | 0.93 | 0.29 | asserted 0.98 |
| s2 | The radion potential in the presence of quantum corrections is found. | result 0.60 | 0.93 | 0.07 | asserted 1.00 |
| s3 | It is demonstrated that both the dS and the AdS braneworlds may be stabilized by using the Casimir force only. | result 0.99 | 0.88 | 0.50 | asserted 0.54 |
| s4 | A brief study indicates that bulk quantum effects are relevant for brane cosmology, because they do deform the de Sitter brane. | interpretation 0.58 | 0.84 | 0.11 | hedged possibility 0.90 |
| s5 | They may also provide a natural mechanism yielding a decrease of the four-dimensional cosmological constant on the physical brane of the two-brane configuration. | interpretation 0.70 | 0.80 | 0.14 | hedged possibility 1.00 |
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The paper
Original abstract
We discuss the bulk Casimir effect (effective potential) for a conformal or massive scalar when the bulk represents five-dimensional AdS or dS space with two or one four-dimensional dS brane, which may correspond to our universe. Using zeta-regularization, the interesting conclusion is reached, that for both bulks in the one-brane limit the effective potential corresponding to the massive or to the conformal scalar is zero. The radion potential in the presence of quantum corrections is found. It is demonstrated that both the dS and the AdS braneworlds may be stabilized by using the Casimir force only. A brief study indicates that bulk quantum effects are relevant for brane cosmology, because they do deform the de Sitter brane. They may also provide a natural mechanism yielding a decrease of the four-dimensional cosmological constant on the physical brane of the two-brane configuration.
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References
How the literature uses it
3 arXiv papers cite this in 3 sentences
Papers citing it · 1 sentence without a confident label
Cites it as background 2 papers
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Other ways of treating the influence from the Casimir effect in cosmology; the reader may consult, for instance, Refs. [ref] .
On Friedmann-Lema\^{\i}tre-Robertson-Walker cosmologies in non-standard gravity · Discussions · 0.99
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Other notable treatments of the problem include universe multiplication [ref] , dividing the action by the volume of the universe [ref] (see also Gabadadze:2014rwa), the fat graviton [ref] , self-tuning brane-world models [ref] , and the higher-dimensional bulk Casimir effect [ref] .
A Nonlocal Approach to the Cosmological Constant Problem · Introduction · 1.00
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