6D thick branes from interacting scalar fields

Dzhunushaliev, Vladimir; Folomeev, Vladimir; Singleton, Douglas; Aguilar-Rudametkin, Sergio

doi:10.1103/physrevd.77.044006

Cited by 57 publications

(60 citation statements)

References 51 publications

(107 reference statements)

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“…Recently, increasingly one has focussed on the study of thick brane scenarios based on gravity coupled to one or more scalars in higher-dimensional space-times [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. Moreover, domain walls have been used in high-energy physics to generate thick branes in models wherein scalar fields can couple with gravity in warped spacetime.…”

Section: Introductionmentioning

confidence: 99%

Configurational entropy in brane-world models

Correa

Rocha

2015

Eur. Phys. J. C

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In this work we investigate the entropic information on thick brane-world scenarios and its consequences. The brane-world entropic information is studied for the sineGordon model and hence the brane-world entropic information measure is shown to be an accurate way for providing the most suitable range for the bulk AdS curvature, in particular from the informational content of physical solutions. Besides, the brane-world configurational entropy is employed to demonstrate a high organisational degree in the structure of the configuration of the system, for large values of a parameter of the sine-Gordon model but the one related to the AdS curvature. The Gleiser and Stamatopoulos procedure is finally applied in order to achieve a precise correlation between the energy of the system and the brane-world configurational entropy.

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Section: Introductionmentioning

confidence: 99%

Configurational entropy in brane-world models

Correa

Rocha

2015

Eur. Phys. J. C

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“…The whole set of results obtained in works [22] for 5D and [23] for 6D cases, and also in this paper, allows us to speak about possibility in principle of localization of the scalar fields with the potential (3) on a brane in any dimensions. One has every reason to suppose that existence of similar regular solutions is possible for models with greater number of extra dimensions.…”

Section: Discussionmentioning

confidence: 99%

“…[22], for 6D one -in Ref. [23]. The obtained solutions indicate a possibility of localization of scalar fields of special type on a brane.…”

Section: Introductionmentioning

confidence: 97%

“…As it was shown in Refs. [22], [23], specifying some values of the self-coupling constants Λ 1 , Λ 2 , a problem of search of regular solutions for systems similar to (12)- (15) reduced to evaluation of eigenvalues of the parameters m 1 , m 2 . Only for these values of the parameters the regular solutions with finite energy exist.…”

Section: General Equationsmentioning

confidence: 99%

“…Just these conditions for the metric functions were used by us at consideration of the 5D [22] and 6D [23] cases and also the 7D and 8D problems in this paper. Apparently, the situation remains the same and for a case of an arbitrary number of the n extra spatial dimensions.…”

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confidence: 99%

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Thick brane in 7D and 8D spacetimes

et al. 2008

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Localization of matters on Anti-de Sitter thick branes

Liu

Guo

et al. 2010

J. High Energ. Phys.

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By presenting the mass-independent potentials of the Kaluza-Klein (KK) modes in the corresponding Schrödinger equations, we investigate the localization and mass spectra of various bulk matter fields on an AdS thick brane. For a spin 0 scalar Φ coupled with itself and the domain-wall-forming field φ via a coupling potential V = (λφ 2 −u 2 )Φ 2 +τ Φ 4 , the localization and spectrum are decided by a critical coupling constant λ 0 . When λ > λ 0 , the potential of the scalar KK modes in the corresponding Schrödinger equation tends to infinite when far away from the brane, which results in that there exist infinite discrete scalar bound KK states, and the massless modes could be trapped on the AdS brane by fine-tuning of parameters. When λ < λ 0 , the potential of the scalar KK modes tends to negative infinite when far away from the brane, hence there does not exist any scalar bound KK state. For a spin 1 vector, the situation is same like the scalar with a coupling constant λ > λ 0 , but the zero mode can not be localized on the brane. For a spin 1/2 fermion, we introduce the usual Yukawa coupling ηΨφΨ, and find that the localization of the fermion is decided by a critical coupling constant η 0 . For η > η 0 , the four-dimensional massless left chiral fermion and massive Dirac fermions consisted of the pairs of coupled left-hand and right-hand KK modes could be localized on the AdS brane, and the massive Dirac fermions have a set of discrete mass spectrum. While for the case 0 < η < η 0 , no four-dimensional Dirac fermion can be localized on the AdS brane.

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6D thick branes from interacting scalar fields

Cited by 57 publications

References 51 publications

Configurational entropy in brane-world models

Configurational entropy in brane-world models

Thick brane in 7D and 8D spacetimes

Localization of matters on Anti-de Sitter thick branes

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