2001
DOI: 10.1016/s0550-3213(00)00645-3
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Probing extra dimensions using Nambu–Goldstone bosons

Abstract: We investigate a possibility that our four-dimensional world is a brane-like object embedded in a higher dimensional spacetime. In such a situation, the transverse coordinates of the brane become the Nambu-Goldstone bosons which appear as a result of spontaneous breaking of the translation symmetry. We determine the form of the effective action of the system, finding the explicit form of the vierbein induced on the brane in terms of the Nambu-Goldstone boson variables and the bulk vielbein. As was pointed out … Show more

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Cited by 69 publications
(94 citation statements)
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“…Thus only the z-component of δX M and J M is physical. Generically, the transverse deformations of branes can be viewed as Nambu-Goldstone bosons (branons) which result from spontaneous breaking of the translational symmetry [59]. In the brane-world models these are coupled to matter on the brane via the induced metric (for a recent discussion see [60,61]).…”
Section: Jhep01(2018)120mentioning
confidence: 99%
“…Thus only the z-component of δX M and J M is physical. Generically, the transverse deformations of branes can be viewed as Nambu-Goldstone bosons (branons) which result from spontaneous breaking of the translational symmetry [59]. In the brane-world models these are coupled to matter on the brane via the induced metric (for a recent discussion see [60,61]).…”
Section: Jhep01(2018)120mentioning
confidence: 99%
“…We will use the notation: 10) where the eigenfunctions Ψ µ(α) , with α ∈ {h,f }, satisfy the following orthogonality relation:…”
Section: Partner System and The Determination Of The Eigenfunctionsmentioning
confidence: 99%
“…Y m is considered as the Nambu-Goldstone mode associated with the spontaneous isometry breaking due to the presence of the brane in bulk [8][12] [24,25,26,27]. Before discussing muon (g-2), the relation between the brane fluctuations and the scaling property mentioned in section III should be noted.…”
Section: Application To Muon (G-2)mentioning
confidence: 99%