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Bulk Fields in the Randall-Sundrum Compactification Scenario
High Energy Physics - Phenomenology · Submitted 4 Jul 1999
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In this letter we show that bulk fields with a five dimensional mass term of order M_Pl have, after integrating over the extra dimension, modes with four-dimensional masses that are exponentially suppressed as well.
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The abstract, sentence by sentence
Recently, Randall and Sundrum proposed a solution to the hierarchy problem where the background spacetime is five dimensional. There are two 3-branes, and the mass scale for fields that propagate on one of the 3-branes is exponentially suppressed relative to the fundamental scale of theory, which is taken to be the Planck mass, M_Pl. In this letter we show that bulk fields with a five dimensional mass term of order M_Pl have, after integrating over the extra dimension, modes with four-dimensional masses that are exponentially suppressed as well. This opens the possibility that in this scenario the Standard Model matter fields may correspond to degrees of freedom that are not confined to a 3-brane.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Recently, Randall and Sundrum proposed a solution to the hierarchy problem where the background spacetime is five dimensional. | background 1.00 | 0.03 | 0.02 | asserted 1.00 |
| s1 | There are two 3-branes, and the mass scale for fields that propagate on one of the 3-branes is exponentially suppressed relative to the fundamental scale of theory, which is taken to be the Planck mass, M_Pl. | background 1.00 | 0.06 | 0.04 | asserted 1.00 |
| s2 | In this letter we show that bulk fields with a five dimensional mass term of order M_Pl have, after integrating over the extra dimension, modes with four-dimensional masses that are exponentially suppressed as well. | result 0.88 | 0.95 | 0.89 | asserted 1.00 |
| s3 | This opens the possibility that in this scenario the Standard Model matter fields may correspond to degrees of freedom that are not confined to a 3-brane. | interpretation 1.00 | 0.18 | 0.28 | hedged possibility 1.00 |
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The paper
Original abstract
Recently, Randall and Sundrum proposed a solution to the hierarchy problem where the background spacetime is five dimensional. There are two 3-branes, and the mass scale for fields that propagate on one of the 3-branes is exponentially suppressed relative to the fundamental scale of theory, which is taken to be the Planck mass, M_Pl. In this letter we show that bulk fields with a five dimensional mass term of order M_Pl have, after integrating over the extra dimension, modes with four-dimensional masses that are exponentially suppressed as well. This opens the possibility that in this scenario the Standard Model matter fields may correspond to degrees of freedom that are not confined to a 3-brane.
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References
How the literature uses it
33 arXiv papers cite this in 42 sentences
Papers citing it · 30 sentences without a confident label
Builds on it 1 paper
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[ref] from $m_5D^2≥0$ to include the Breitenlohner-Freedman range $m_5D^2≥-4$.
Kaluza-Klein relics from warped reheating · Identifying the LMCS · 0.95
Uses its method or tool 2 papers
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As in [ref] , we adopt the method of Goldberger and Wise (GW), who introduced a bulk scalar field [ref] in 5D models to stabilize the extra dimension.
Modified Friedmann Equation and Inflation in Warped Codimension-two Braneworld · Friedmann equation with Goldberger-Wise scalar field · 0.95
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We now summarize how to find explicit equations for the nonflat wavefunctions in that solution set by following the notation and arguments from [ref] .
Massive Spin-2 Scattering Amplitudes in Extra-Dimensional Theories · Massive Bulk Fields and Wavefunctions · 0.95
Compares with it 1 paper
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The limit $ω→∞$ leads to the result found in [ref] for the massless case.
D-dimensional Randall-Sundrum models from Brans-Dicke theory and Kaluza-Klein modes · Spectroscopy of scalar Kaluza-Klein Modes · 0.96
Cites it as background 7 papers
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The KK decomposition and the associated eigen-modes for bosons and fermions in the RS1 geometry have been well studied in recent years [ref] .
Cosmological Constant as a Manifestation of the Hierarchy · Introduction · 1.00
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It developed out of the suggestion that the basic RS1 warped hierarchy mechanism could operate with most of the SM fields propagating in the 5D bulk spacetime [ref] , that flavor hierarchies from extra-dimensional wavefunction overlaps [ref] could arise attractively in the warped setting [ref] [ref] [ref] , and out of studies of the implications of the host of precision experimental tests [ref] .
SUSY Splits, But Then Returns · Non-SUSY Warped Models from the CFT View · 0.83
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In the RS model, the SM fields are assumed to be located on the TeV brane while only gravity propagates in the bulk [Phenomenology of bulk SM fields in the warped geometry model has been explored in [ref] .].
New $W$-Boson mass in the light of doubly warped braneworld model · Introduction · 0.93
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