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Gravity localization on thick branes: a numerical approach

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D. Bazeia, A. R. Gomes, L. Losano

High Energy Physics - Theory · Submitted 27 Aug 2007

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

The authors' main claim We discuss both the occurrence of localization of gravity and the correction to the Newtonian potential given by the massive modes.

how it is stated · asserted 0.76 read the record →

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arXiv ID0708.3530 (version 2)
Pith ID4HOTGOU4, Pith's permanent record of this paper and its review
CitationA. R. Gomes, D. Bazeia, L. Losano. "Gravity localization on thick branes: a numerical approach." arXiv:0708.3530 (2007). https://pith.science/paper/4HOTGOU4
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,526 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.26 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.10 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We introduce a numerical procedure to investigate the spectrum of massive modes and its contribution for gravity localization on thick branes. After considering a model with an analytically known Schroedinger potential, we present the method and discuss its applicability. With this procedure we can study several models even when the Schroedinger potential is not known analytically. We discuss both the occurrence of localization of gravity and the correction to the Newtonian potential given by the massive modes.

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 We introduce a numerical procedure to investigate the spectrum of massive modes and its contribution for gravity localization on thick branes. contribution 0.85 0.90 0.15 asserted 0.97
s1 After considering a model with an analytically known Schroedinger potential, we present the method and discuss its applicability. method 0.92 0.86 0.05 asserted 0.95
s2 With this procedure we can study several models even when the Schroedinger potential is not known analytically. method 0.50 0.70 0.10 hedged possibility 0.52
s3 We discuss both the occurrence of localization of gravity and the correction to the Newtonian potential given by the massive modes. contribution 0.93 0.75 0.23 asserted 0.76

What kind of paper the classifier reports this is: method or tool 1.00 · evidence from simulation or computation 1.00.

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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

We introduce a numerical procedure to investigate the spectrum of massive modes and its contribution for gravity localization on thick branes. After considering a model with an analytically known Schroedinger potential, we present the method and discuss its applicability. With this procedure we can study several models even when the Schroedinger potential is not known analytically. We discuss both the occurrence of localization of gravity and the correction to the Newtonian potential given by the massive modes.

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References
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27 arXiv papers cite this in 45 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 · 18 sentences without a confident label

Uses its method or tool 2 papers
  • Also, with the help of redefinition [equation] as shown by Bazeia et al. [ref] , the equation for the metric fluctuations takes the form of a Schrödinger-like equation [equation] where the potential is given by [equation]

    Graviton resonances on deformed branes · Gravity localization and Resonances · 0.97

  • From the numerically known potential we can use the Numerov numeric method [ref] to solve the Schrödinger equations.

    Resonances on deformed thick branes · Fermionic massive modes · 1.00

Compares with it 3 papers
  • The gap is a consequence of the fact that the quantum analog potential of the Schrödinger-like equation, obtained after linearizing 5D gravity, asymptotes to a positive constant, unlike most part of related models, where the potential asymptotes to zero (see, for instance, [ref] – [ref] and [ref] ).

    Mass hierarchy, mass gap and corrections to Newton's law on thick branes with Poincare symmetry · Concluding Remarks · 0.89

  • ([ref]) and ([ref]) reduce to [equation] They are the same equations as those in Refs. [ref] , where the gravity is described by general relativity.

    Thick Brane Split Caused by Spacetime Torsion · $n=1/2$ · 0.88

  • This should be contrasted with toy models of thick brane worlds [ref] , where the superpotential can be engineered to produce the desired warp factor.

    Spin-2 spectrum of defect theories · Warp factors and a limiting geometry · 0.95

Cites it as background 14 papers
  • Some properties of the asymmetric scenarios have been discussed in [ref] .

    Breaking the $Z_2$ symmetry of the Randall-Sundrum scenario and the fate of the massive modes · Introduction · 0.99

  • Subsequent studies extended some further analysis to features of the finite thickness walls (see [ref] and references therein) as well as numerous other subsequent studies of special models, primarily employing numerical analyses of fixed thickness solutions (for recent studies see e.g., [ref] and references therein) [The study of possible string theory origin, within the gauged supergravity context, of such walls was initiated in [ref] .].

    Gravity Trapping on a Finite Thickness Domain Wall: An Analytic Study · Introduction · 0.89

  • The suggestion that our world might be a four-dimensional domain wall was proposed early in the 1980s [ref] , but it wasn't until the localization of gravity on either thin [ref] or thick [ref] domain wall was shown to be possible, that the braneworld models attracted renew attentions.

    Domain wall brane in squared curvature gravity · Introduction · 0.99

What it cites · 10 sentences without a confident label

Compares with 1 paper
  • If we compare with the presented numerical procedure, the asymptotic analysis [ref] has very good precision to estimate the power of the first correction to the Newtonian potential.

    Universal Aspects of Gravity Localized on Thick Branes · Models with analytic $V_sch$: asymptotic analysis · 0.98

Cites as background 1 paper

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