Fermions on deformed thick branes

In this work, we study the localization of the vector gauge field in two fivedimensional braneworlds generated by scalar fields coupled to gravity. The sine-Gordon like potentials are employed to produce different thick brane setups. A zero mode localized is obtained, and we show the existence of reverberations with the wave solutions indicating a quasi-localized massive mode. More interesting results are achieved when we propose a double sineGordon potential to the scalar field. The resulting thick brane shows a more detailed topology with the presence of an internal structure composed by two kinks. The massive spectrum of the gauge field is revalued on this scenario revealing the existence of various resonant modes. Furthermore, we compute the corrections to Coulomb law coming from these massive KK vector modes in these thick scenarios, where is concluded that the dilaton parameter regulates these corrections.

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“…Let us work in the z variable and set the spin 1/2 fermion action in 5D as [11,[16][17][18][19]36, 37, 39, 52]…”

Section: Corrections To Coulomb Law In the Sine-gordon Branesmentioning

confidence: 99%

“…In order to analyse the influence of massive vector modes in the Coulomb law, we also perform the fermion field localization in the SG and the DSG branes. This method of massless spin 1/2 confinement is very often in 5D models [11,[16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Multiresonance modes in sine–Gordon brane models

et al. 2016

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“…In order to localize fermions on a thick brane of the RS-type, one usually needs to introduce some other interactions with background fields besides gravity. One simple interaction in a five-dimensional brane model is the Yukawa coupling between fermions and the background scalar fields [32,43,44,50,54,[61][62][63][64][65][66][67][68][69][70][71][72] when the scalar fields are odd functions of the extra dimension. With this coupling, the shapes of the effective potential of the left-or right-chiral fermion KK mode can be classified as three types: volcano-like [43,63,[65][66][67][68][69], finite square well-like [39,73], and harmonic potentiallike [44,70].…”

Section: Introductionmentioning

confidence: 99%

Resonance spectrum of a bulk fermion on branes

Zhang

Guo

et al. 2016

Phys. Rev. D

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It is known that there are two mechanisms for localizing a bulk fermion on a brane, one is the well-known Yukawa coupling and the other is the new coupling proposed in [Phys. Rev. D 89, 086001 (2014)]. In this paper, we investigate localization and resonance spectrum of a bulk fermion on the same branes with the two localization mechanisms. It is found that both the two mechanisms can result in a volcano-like effective potential of the fermion Kaluza-Klein modes. The left-chiral fermion zero mode can be localized on the brane and there exist some discrete massive fermion Kaluza-Klein modes that quasilocalized on the brane (also called fermion resonances). The number of the fermion resonances increases linearly with the coupling parameter.

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“…To detect the resonant modes we use a technique widely applied in the context of thick branes [14,16,26,27,[31][32][33][34][35][53][54][55] based on the calculation of the probability density of the wave function. We have normalized the wave functions in a box so that its borders are far from the turning points.…”

Section: Discussionmentioning

confidence: 99%

Kalb–Ramond field localization on the Bloch brane

2013

Self Cite

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This work deals with new results on the Kalb-Ramond (KR) field localization in braneworld models. We consider a five-dimensional warped spacetime with an embedded 4D thick brane which is generated by two real scalar fields coupled with gravity (the so called Bloch brane). We find a KR field zero mode localized with the inclusion of the dilaton coupling. Analyzing the massive spectrum, we detected a series of resonant modes that arise from the solutions of the Schrödinger-like equation for KR field. The effects of the brane thickness and of the dilaton coupling over the resonance structures are determined. Such analysis is extended to the resonance lifetimes of the massive modes, allowing a better understanding on the localization mechanism of the model.

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Fermions on deformed thick branes

Cited by 32 publications

References 42 publications

Multiresonance modes in sine–Gordon brane models

Multiresonance modes in sine–Gordon brane models

Resonance spectrum of a bulk fermion on branes

Kalb–Ramond field localization on the Bloch brane

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