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Holographic RG and Cosmology in Theories with Quasi-Localized Gravity
High Energy Physics - Theory · Submitted 9 Mar 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Thus, there is a holographic duality between these theories.
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We study the long distance behaviour of brane theories with quasi-localized gravity. The 5D effective theory at large scales follows from a holographic renormalization group flow. As intuitively expected, the graviton is effectively four dimensional at intermediate scales and becomes five dimensional at large scales. However in the holographic effective theory the essentially 4D radion dominates at long distances and gives rise to scalar anti-gravity. The holographic description shows that at large distances the GRS model is equivalent to the model recently proposed by Dvali, Gabadadze and Porrati (DGP), where a tensionless brane is embedded into 5D Minkowski space, with an additional induced 4D Einstein-Hilbert term on the brane. In the holographic description the radion of the GRS model is automatically localized on the tensionless brane, and provides the ghost-like field necessary to cancel the extra graviton polarization of the DGP model. Thus, there is a holographic duality between these theories. This analysis provides physical insight into how the GRS model works at intermediate scales; in particular it sheds light on the size of the width of the graviton resonance, and also demonstrates how the holographic RG can be used as a practical tool for calculations.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the long distance behaviour of brane theories with quasi-localized gravity. | contribution 0.93 | 0.90 | 0.04 | asserted 0.81 |
| s1 | The 5D effective theory at large scales follows from a holographic renormalization group flow. | method 0.59 | 0.56 | 0.09 | asserted 1.00 |
| s2 | As intuitively expected, the graviton is effectively four dimensional at intermediate scales and becomes five dimensional at large scales. | result 0.89 | 0.50 | 0.08 | asserted 0.94 |
| s3 | However in the holographic effective theory the essentially 4D radion dominates at long distances and gives rise to scalar anti-gravity. | result 0.96 | 0.78 | 0.20 | asserted 1.00 |
| s4 | The holographic description shows that at large distances the GRS model is equivalent to the model recently proposed by Dvali, Gabadadze and Porrati (DGP), where a tensionless brane is embedded into 5D Minkowski space, with an additional induced 4D Einstein-Hilbert term on the brane. | result 0.96 | 0.76 | 0.31 | asserted 1.00 |
| s5 | In the holographic description the radion of the GRS model is automatically localized on the tensionless brane, and provides the ghost-like field necessary to cancel the extra graviton polarization of the DGP model. | result 0.74 | 0.75 | 0.19 | asserted 1.00 |
| s6 | Thus, there is a holographic duality between these theories. | result 0.60 | 0.77 | 0.40 | asserted 1.00 |
| s7 | This analysis provides physical insight into how the GRS model works at intermediate scales; in particular it sheds light on the size of the width of the graviton resonance, and also demonstrates how the holographic RG can be used as a practical tool for calculations. | interpretation 0.76 | 0.89 | 0.14 | asserted 1.00 |
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Original abstract
We study the long distance behaviour of brane theories with quasi-localized gravity. The 5D effective theory at large scales follows from a holographic renormalization group flow. As intuitively expected, the graviton is effectively four dimensional at intermediate scales and becomes five dimensional at large scales. However in the holographic effective theory the essentially 4D radion dominates at long distances and gives rise to scalar anti-gravity. The holographic description shows that at large distances the GRS model is equivalent to the model recently proposed by Dvali, Gabadadze and Porrati (DGP), where a tensionless brane is embedded into 5D Minkowski space, with an additional induced 4D Einstein-Hilbert term on the brane. In the holographic description the radion of the GRS model is automatically localized on the tensionless brane, and provides the ghost-like field necessary to cancel the extra graviton polarization of the DGP model. Thus, there is a holographic duality between these theories. This analysis provides physical insight into how the GRS model works at intermediate scales; in particular it sheds light on the size of the width of the graviton resonance, and also demonstrates how the holographic RG can be used as a practical tool for calculations.
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10 arXiv papers cite this in 13 sentences
Papers citing it · 3 sentences without a confident label
Contests it 1 paper
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But on the other hand, it suffers from problems such as violating the positivity of energy and containing ghost modes [ref] .
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Uses its method or tool 7 papers
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We study the energetics along the three branches of solutions, by computing the free energy using holographic renormalisation [ref] , and employing a simple scale-setting procedure to compare different backgrounds [ref] .
A light dilaton in a metastable vacuum · Introduction · 1.00
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Following Refs. [ref] , we find it convenient to define a scale $Λ$ as follows [ref] : [equation] with $ρ_o$ the end of space—other choices are admissible, but this choice makes contact with earlier studies, where it has been shown that it allows to compare the confining and DW classes of solutions.
Phase transitions and light scalars in bottom-up holography · Free energy · 0.89
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Along the lines of Ref. [ref] , we find it convenient to define a scale $Λ$ as follows [ref] : [equation] While this is not a unique choice, its simplicity and universality gives it a practical value for our applications.
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