Approximation of fermion resonances on a splitting domain wall

Farokhtabar, A.; Tofighi, A.

doi:10.1140/epjp/i2017-11649-7

Cited by 1 publication

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“…Many efforts have been paid in this area, and it is now well known that the localization problem could be addressed well in some thick braneworld models [42][43][44][55][56][57][58][59][60][61][62][63][64]. On the other hand, the investigation on the fermion resonances makes it possible to find the massive modes with finite lifetimes [63][64][65][66][67][68][69][70]. As we have mentioned, in principle, the constraints on the parameters could be obtained from the combination of the future particle physics experiments and gravitational experiments on the brane through the mass spectrum.…”

Section: Discussionmentioning

confidence: 99%

Constraints on generalized Eddington-inspired Born-Infeld branes

et al. 2019

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The Palatini f (|Ω|) gravity is a generalized theory of the Eddington-inspired Born-Infeld gravity,where Ω K N ≡ δ K N + bg KL RLN (Γ) is an auxiliary tensor constructed with the spacetime metric g and independent connection Γ. In this paper, we study f (|Ω|) theory with f (|Ω|) = |Ω| 1 2 +n in the thick brane scenario and give some constraints on the brane model. We finally found an analytic solution of the thick brane generated by a single scalar field. The behavior of the negative energy density denotes the localization of the thick brane at the origin of the extra dimension. In our braneworld, the warp factor is divergent at the boundary of the extra dimension while the brane system is asymptotically anti−de Sitter. It is shown that the tensor perturbation of the brane is stable and the massless graviton is localized on the thick brane. Therefore, the effective Einstein-Hilbert action on the brane can be rebuilt in the low-energy approximation. According to the recent test of the gravitational inverse-square law, we give some constraints on the f (|Ω|) brane.

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