2000
DOI: 10.1016/s0550-3213(00)00271-6
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Universal aspects of gravity localized on thick branes

Abstract: We study gravity in backgrounds that are smooth generalizations of the Randall-Sundrum model, with and without scalar fields. These generalizations include three-branes in higher dimensional spaces which are not necessarily Anti-de Sitter far from the branes, intersecting brane configurations and configurations involving negative tension branes. We show that under certain mild assumptions there is a universal equation for the gravitational fluctuations. We study both the graviton ground state and the continuum… Show more

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Cited by 540 publications
(812 citation statements)
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“…Our investigations are based on several recent works on branes [1,2,3,4,5,6,7,8,9], and it follows the lines of our former work on brane structure [15].…”
Section: Further Commentsmentioning
confidence: 99%
See 1 more Smart Citation
“…Our investigations are based on several recent works on branes [1,2,3,4,5,6,7,8,9], and it follows the lines of our former work on brane structure [15].…”
Section: Further Commentsmentioning
confidence: 99%
“…We focus mainly on generation of thick branes, their stability and internal structure, and our investigations follow several recent works on the subject [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15].…”
Section: Introductionmentioning
confidence: 99%
“…is the effective action and φ(y) is a function of extra dimension y [6]. A field is said to be localized if the integral I is finite, i.e., the function φ(y) is square integrable.…”
Section: Jhep02(2018)018mentioning
confidence: 99%
“…The solution of these equations can be obtained through the superpotential method, according to [6,8,28], introducing the superpotencial W (φ) by φ = ∂W ∂φ . Therefore, choosing φ(y) = a tanh(by) the superpotencial W (φ) is given by…”
Section: The Thick Brane Casementioning
confidence: 99%
“…Hence, one would find that the effective RS brane tension T RS is a sum of an infinite number of higher curvature terms and T b : e.g. schematically,where the R's correspond to curvature quantities, the α i correspond to coefficients of the 2 For aspects of thick brane physics, see for example [21,6,22,23].4 derivative expansion, and M is the five-dimensional Planck scale. 3 Therefore, even if T RS = O(TeV), one may in principle have a T b that is much larger, depending upon the precise nature of α i and R. In that case, even without the "confining" effect of the orbifold fixed point, the brane would not "fatten" at a TeV scale.…”
mentioning
confidence: 99%