Localization of abelian gauge fields on thick branes

Vaquera-Araujo, Carlos A.; Corradini, Olindo

doi:10.1140/epjc/s10052-014-3251-2

Cited by 58 publications

(52 citation statements)

References 39 publications

(75 reference statements)

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“…However, the scalar sector L (2) s newly include the mixing terms between A µ and θ which we would like to eliminate to diagonalize mass matrices. To this end, we need to modify the gauge fixing term (31) in the five dimensions as…”

Section: The Extra Dimensional Component a Amentioning

confidence: 99%

Localization of gauge bosons and the Higgs mechanism on topological solitons in higher dimensions

Eto

Kawaguchi

2019

J. High Energ. Phys.

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We provide complete and self-contained formulas about localization of massless/massive Abelian gauge fields on topological solitons in generic D dimensions via a field dependent gauge kinetic term. The localization takes place when a stabilizer (a scalar field) is condensed in the topological soliton. We show that the localized gauge bosons are massless when the stabilizer is neutral. On the other hand, they become massive for the charged stabilizer as a consequence of interplay between the localization mechanism and the Higgs mechanism. For concreteness, wegive two examples in six dimensions. The one is domain wall intersections and the other is an axially symmetric soliton background. arXiv:1907.04573v1 [hep-th]

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Section: The Extra Dimensional Component a Amentioning

confidence: 99%

Localization of gauge bosons and the Higgs mechanism on topological solitons in higher dimensions

Eto

Kawaguchi

2019

J. High Energ. Phys.

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“…After that, Chumbes, Holf da Silva and Hott proposed a coupling function between the vector field and the background scalar field [41]. Vaquera-Araujo and Corradini introduced a Yukawa-like coupling, namely, a Stueckelberg-like action, to realize the localization of the vector field [42].…”

Section: Introductionmentioning

confidence: 99%

Generalized geometrical coupling for vector field localization on thick brane in asymptotic anti–de Sitter spacetime

et al. 2020

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It is known that a five-dimensional free vector field AM cannot be localized on Randall-Sundrum (RS)-like thick branes, namely, the thick branes embedded in asymptotic Anti-de Sitter (AdS) spacetime. In order to localize a vector field on the RS-like thick brane, an extra coupling term should be introduced. In this paper, we generalize the geometrical coupling mechanism by adding two mass terms (αRg M N AM AN + βR M N AM AN ) into the action. We decompose the fundamental vector field AM into three parts: transverse vector partÂµ, scalar parts φ and A5. Then, we find that the transverse vector partÂµ decouples from the scalar parts. In order to eliminate the tachyonic modes ofÂµ, the two coupling parameters α and β should satisfy a relation. Combining the restricted condition, we can get a combination parameter as γ = 3 2 ± √ 1 + 12α. Only if γ > 1/2, the zero mode ofÂµ can be localized on the RS-like thick brane. We also investigate the resonant character of the vector partÂµ for the general RS-like thick brane with the warp factor A(z) = − ln(1 + k 2 z 2 )/2 by choosing the relative probability method. The result shows that, only for γ > 3, the massive resonant Kaluza-Klein modes can exist. The number of resonant Kaluza-Klein states increases with the combination parameter γ, and the lifetime of the first resonant state can be long enough as the age of our universe. This indicates that the vector resonances might be considered as one of the candidates of dark matter. Combining the conditions of experimental observations, the constrain shows that the parameter k has a lower limit with k 10 −17 eV, the combination parameter γ should be greater than 57, and accordingly, the mass of the first resonant state should satisfy m1 10 −15 eV.

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“…In the brane world theory, the zero modes can be regarded as particles living in four-dimensional space-time, while the massive KK modes might reveal the mysteries of extra dimensions. Thus, there has been many papers focus on these KK modes [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%

U(1) gauge vector field on a codimension-2 brane

Zhong

Liu

2019

J. High Energ. Phys.

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In this paper, we obtain a gauge invariant effective action for a bulk massless U (1) gauge vector field on a brane with codimension two by using a general Kaluza-Klein (KK) decomposition for the field. It suggests that there exist two types of scalar KK modes to keep the gauge invariance of the action for the massive vector KK modes. Both the vector and scalar KK modes can be massive. The masses of the vector KK modes m (n) contain two parts, m (n) 1 and m (n) 2 , due to the existence of the two extra dimensions. The masses of the two types of scalar KK modes m (n) φ and m (n) ϕ are related to the vector ones, i.e., m (n) φ = m (n) 1 and m (n) ϕ = m (n)2 . Moreover, we derive two Schrödinger-like equations for the vector KK modes, for which the effective potentials are just the functions of the warp factor.

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Localization of abelian gauge fields on thick branes

Cited by 58 publications

References 39 publications

Localization of gauge bosons and the Higgs mechanism on topological solitons in higher dimensions

Localization of gauge bosons and the Higgs mechanism on topological solitons in higher dimensions

Generalized geometrical coupling for vector field localization on thick brane in asymptotic anti–de Sitter spacetime

U(1) gauge vector field on a codimension-2 brane

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