High Energy Physics - Theory · arXiv:hep-th/0109194 v1 · submitted 25 Sep 2001
Localisation of massive fermions on the brane
The paper says
“The confinement life-time of the bound states is evaluated, and it is shown that existing constraints can be made compatible with the existence of massive fermions trapped on the brane for durations much longer than the age of the Universe.”
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The paper
Abstract
We construct an explicit model to describe fermions confined on a four dimensional brane embedded in a five dimensional anti-de Sitter spacetime. We extend previous works to accommodate massive bound states on the brane and exhibit the transverse structure of the fermionic fields. We estimate analytically and calculate numerically the fermion mass spectrum on the brane, which we show to be discrete. The confinement life-time of the bound states is evaluated, and it is shown that existing constraints can be made compatible with the existence of massive fermions trapped on the brane for durations much longer than the age of the Universe.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 0.96
What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.24 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.26 · compares with prior results 0.58 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v1). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| We construct an explicit model to describe fermions confined on a four dimensional brane embedded in a five dimensional anti-de Sitter spacetime. | contribution 0.95 | 0.95 | 0.10 | asserted 0.99 |
| We extend previous works to accommodate massive bound states on the brane and exhibit the transverse structure of the fermionic fields. | contribution 1.00 | 0.92 | 0.09 | asserted 1.00 |
| We estimate analytically and calculate numerically the fermion mass spectrum on the brane, which we show to be discrete. | result 0.64 | 0.96 | 0.19 | asserted 1.00 |
| The confinement life-time of the bound states is evaluated, and it is shown that existing constraints can be made compatible with the existence of massive fermions trapped on the brane for durations much longer than the age of the Universe. | result 0.90 | 0.92 | 0.53 | asserted 0.96 |
What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.94
What was examined, and what was not
Sources read
- arXiv listing abstract v1
Not examined
- full text
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- references and citing sentences
- relations to other papers
Levels run
- P abstract
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- S sections
- T body sentences
- C citations
- R cross-paper relations
How the labels were made
Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,609 input tokens, $0.0002 reported.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
Cited by 12 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Relic of the Kink Shape Mode in a Topological Thick Brane - some implications hep-th · Sep 2026
- Localization of Vector and Fermion Fields on a Thick Brane with a Lump-type Scalar Background gr-qc · Sep 2026
- The End of the Road for Bulk Fields in Warped Randall-Sundrum Braneworlds gr-qc · Jan 2026
- Domain wall brane in squared curvature gravity hep-th · Apr 2011
- Fermion localization and resonances on two-field thick branes hep-th · Jan 2009
- Fermion localization on thick branes hep-th · Jan 2006
- Fermions on Thick Branes in the Background of Sine-Gordon Kinks hep-th · Apr 2008
- Localization and Mass Spectrum of Matters on Weyl Thick Branes hep-th · Mar 2008
- Localization of Matters on Pure Geometrical Thick Branes hep-th · Aug 2007
- Matter localization and resonant deconfinement in a two-sheeted spacetime hep-th · Mar 2006
- Thick brane solutions gr-qc · Apr 2009
- Introduction to Extra Dimensions and Thick Braneworlds hep-th · Jul 2017
How the literature uses it
30 arXiv papers cite this in 49 sentences
Papers citing it · 29 sentences without a confident label
Contests it 1 paper
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However, for thick brane models, the localization mechanisms presented in Refs. [ref] are not consistent, in such way those mechanisms should be reviewed.
Consistency Conditions for Fields Localization on Braneworlds · Applications - Spinor field · contest 0.86
Compares with it 1 paper
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In reference [ref] , the “lifetime” can be made indefinitely large, but for this the fermion must be strongly coupled to the scalar field $f(y)$.
A Gravity-Consistent Confinement of Fermions in Braneworld · Conclusions · 0.85
Cites it as background 12 papers
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For these thick branes generated by a kink scalar, in order to localize the 5D Dirac field, we usually introduce the coupling term $ηϕ^2n-1ψψ$ ($n$ is a positive integer), and when the coupling constant $η>η_0$ ($η_0$ is some constant parameter decided by the branes), then the left or right chiral Dirac fermion zero mode can be localized on these branes [ref] .
Localization of 5D Elko Spinors on Minkowski Branes · Conclusion and discussion · 0.85
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For spin 1/2 fermions, they do not have normalizable zero modes in five and six dimensions [ref] .
Localization and Mass Spectrum of Matters on Weyl Thick Branes · Introduction · 0.84
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For example, in Refs. [ref] the localization of spin $1/2$ field is obtained for various braneworld scenarios by proposing a Yukawa-like coupling.
Consistency Conditions for Fields Localization on Braneworlds · Introduction · 0.81
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