Brane world: disappearing massive matter

P.G. Tinyakov; S.L. Dubovsky; V.A. Rubakov

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Brane world: disappearing massive matter

S.L. Dubovsky, V.A. Rubakov, P.G. Tinyakov

High Energy Physics - Theory · Submitted 6 Jun 2000

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We find that the discrete zero modes turn into quasi-localized states with finite 4-dimensional mass and finite width.

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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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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,419 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.25 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.14 · mentions code or data availability 0.01.

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arXiv listing abstract v1. Results and the main claim are underlined; show every role.

In a brane (domain wall) scenario with an infinite extra dimension and localized gravity, bulk fermions and scalars often have bound states with zero 4-dimensional mass. In this way massless matter residing on the brane may be obtained. We consider what happens when one tries to introduce small, but non-vanishing mass to these matter fields. We find that the discrete zero modes turn into quasi-localized states with finite 4-dimensional mass and finite width. The latter is due to tunneling of massive matter into extra dimension. We argue that this phenomenon is generic to fields that can have bulk modes. We also point out that in theories meant to describe massive scalars, the 4-dimensional scalar potential has, in fact, power-law behavior at large distances.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	In a brane (domain wall) scenario with an infinite extra dimension and localized gravity, bulk fermions and scalars often have bound states with zero 4-dimensional mass.	background 1.00	0.08	0.05	hedged possibility 0.52
s1	In this way massless matter residing on the brane may be obtained.	background 0.70	0.08	0.05	hedged possibility 0.99
s2	We consider what happens when one tries to introduce small, but non-vanishing mass to these matter fields.	contribution 0.82	0.36	0.03	unclear 0.60
s3	We find that the discrete zero modes turn into quasi-localized states with finite 4-dimensional mass and finite width.	result 1.00	0.95	0.60	asserted 1.00
s4	The latter is due to tunneling of massive matter into extra dimension.	interpretation 0.91	0.67	0.20	asserted 1.00
s5	We argue that this phenomenon is generic to fields that can have bulk modes.	interpretation 0.95	0.70	0.35	asserted 0.60
s6	We also point out that in theories meant to describe massive scalars, the 4-dimensional scalar potential has, in fact, power-law behavior at large distances.	result 0.97	0.77	0.11	asserted 0.91

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.78.

What was examined, and what was not

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arXiv listing abstract v1

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full text
figures and tables
references and citing sentences
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

In a brane (domain wall) scenario with an infinite extra dimension and localized gravity, bulk fermions and scalars often have bound states with zero 4-dimensional mass. In this way massless matter residing on the brane may be obtained. We consider what happens when one tries to introduce small, but non-vanishing mass to these matter fields. We find that the discrete zero modes turn into quasi-localized states with finite 4-dimensional mass and finite width. The latter is due to tunneling of massive matter into extra dimension. We argue that this phenomenon is generic to fields that can have bulk modes. We also point out that in theories meant to describe massive scalars, the 4-dimensional scalar potential has, in fact, power-law behavior at large distances.

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References

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Matter localization and resonant deconfinement in a two-sheeted spacetime
hep-th 2006-03 reject novelty 4.0 of 10

In a two-sheeted spacetime model, environmental interactions, chiefly gravity, localize fermions on one sheet, and resonant transfer to the other sheet becomes possible at a matching frequency.
Large and infinite extra dimensions
hep-ph 2001-04 accept novelty 3.0 of 10

A pedagogical survey of brane-world models in which extra dimensions are large or infinite, covering how matter is trapped on a brane and what observable signatures large, warped or infinite extra dimensions would produce.
TASI Lectures on Extra Dimensions and Branes
hep-ph 2004-04 accept novelty 1.0 of 10

A pedagogical survey of brane and extra-dimension model building, covering large flat dimensions, split fermions, gaugino mediation, orbifold symmetry breaking, and the Randall-Sundrum warped solution with its gravito...

How the literature uses it

21 arXiv papers cite this in 57 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 40 sentences without a confident label

Uses its method or tool 1 paper

To determine the propagator, we need to impose an additional boundary condition at large $z$, which we choose to be the radiative boundary condition following [ref] .

Vector Bosons in the Randall-Sundrum 2 and Lykken-Randall models and unparticles · Boundary Conditions · 0.98

Compares with it 3 papers

Its brane-to-brane propagator in Euclidean momentum-space is given by [ref] [equation] which is almost identical to the RS 2 transverse propagator for a bulk vector field.

Vector Bosons in the Randall-Sundrum 2 and Lykken-Randall models and unparticles · General Features of Vector and Scalar Position Space Green's Functions · 0.99
This effect is similar to that studied in Ref [ref] for massive scalar field.

Vector bosons escaping from the brane: $e^+e^- \to \gamma +$ nothing · Massive field · 0.85
The appearance of resonant modes in place of the discrete states of the global theory resembles the situation considered in [ref] .

Massive states as the relevant deformations of gravitating branes · An exactly solvable model · 1.00

Cites it as support 1 paper

Moreover, it is shown that the confinement of gauge bosons on the brane(s) violates gauge symmetries, and if gauge fields propagate to the bulk, so do the matter [ref] .

Making a Quantum Universe: Symmetry and Gravity · A Very Brief Summary of the Best Studied Quantum Gravity Models · 0.98

Cites it as background 11 papers

The question of localization of a 5D massive field was first studied in [ref] , where it was found that there is no localized mode irrespective how small the 5D mass is.

Continuity, Localization, and Cosmology in Warped Geometry · Introduction and Summary · 0.85
The bulk metric can be warped or not [ref] and these frameworks have also been extended for a non-compact fifth dimension [ref] .

Sub-GeV-scale signatures of hidden braneworlds up to the Planck scale in a $SO(3,1)$-broken bulk · Introduction · 0.83
In Ref. [ref] , it was found that fermions can escape into the bulk by tunnelling, and the rate depends on the parameters of the scalar potential.

Fermions on Thick Branes in the Background of Sine-Gordon Kinks · Introduction · 0.81

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