Abstract
In this paper, we investigate the localization of the Kalb-Ramond field on symmetric and asymmetric thick branes, which are generated by a background scalar field. In order to localize the Kalb-Ramond field, we introduce a coupling with the background scalar field, and find that there exist some Kaluza-Klein resonant modes. For the case of symmetric brane, we seek the resonances by using the relative probability method and transfer matrix method, and obtain the same result for the two methods. For the asymmetric case, we use the transfer matrix method. We find that the number of resonances will decrease with the increase of the asymmetry.
Highlights
We consider an interesting brane model, i.e., the symmetric and asymmetric branes, which was investigated in Refs. [17, 36–38]
We find if we introduce the coupling with the background kink scalar, the KR field can be localized on the brane under some conditions
We investigate the localization of KR field on symmetric and asymmetric thick branes
Summary
We consider the thick brane generated by a single real scalar field φ in a five-dimensional space-time. The warp factor and the scalar field are both supposed to be functions of z only, i.e., φ = φ(z), A = A(z). This is a three-parameter (λ, s, a) family of asymmetric thick brane. In order to obtain the effective action for the four-dimensional KR fields: n d4x hμνλ(n)(x) hμ(nν)λ(x) + 3 m2n bνλ(n)(x) bν(nλ)(x). We can use the orthonormality conditions (2.17) to judge whether the KK modes of the KR field can be localized on the symmetric and asymmetric branes
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