Localization of Massive and Massless Fermions on Two-Field Branes

Farokhtabar, A.; Tofighi, A.

doi:10.1155/2017/3926286

Cited by 4 publications

(4 citation statements)

References 56 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In order to solve these multi-scalar brane system, one can simply decompose the superpotential W into a sum of superpotentials W i [44,45], i.e. W = n i=1 W i (φ i ), and rewrite the warp factor A as A = n i=1 A i (y) correspondingly, then the first order equations can be reduced to…”

Section: The Modelmentioning

confidence: 99%

“…Following their work, the authors constructed a double-wall braneworld and considering the localization of spin-1/2 fermions on this model in Ref. [45].…”

Section: Introductionmentioning

confidence: 99%

“…Via adopting a special decomposition of the superpotential function and warp factor, this method is robust and significantly simplifies the field equations. Following their work, the authors constructed a doublewall braneworld and considering the localization of spin-1/2 fermions on this model in [45].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Fermion localization and degenerate resonances on brane array

Xie¹,

Zhao²,

Yang³

et al. 2019

Class. Quantum Grav.

View full text Add to dashboard Cite

In this work, we consider the multi-wall braneworld arisen from multiscalar fields, and investigate the localization and resonances of spin-1/2 fermion on the multi-walls. We build two analytic multi-wall solutions with a polynomial superpotential and a modified sine-Gordon superpotential respectively. The massless fermion is the only bound state and localized between the two outermost sub-branes. The factors affecting the number of massive resonant fermions are analyzed. What interesting is that all the fermion resonant states are non-degenerate for the cases of single-and two-walls, however, doubly-degenerate fermion resonant states emerge for the cases of three-and four-walls. This novel phenomenon could be potentially interesting in phenomenology.

show abstract

Section: The Modelmentioning

confidence: 99%

“…Following their work, the authors constructed a double-wall braneworld and considering the localization of spin-1/2 fermions on this model in Ref. [45].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Fermion localization and degenerate resonances on brane array

Xie¹,

Zhao²,

Yang³

et al. 2019

Class. Quantum Grav.

View full text Add to dashboard Cite

show abstract

“…This model uses multi-component real scalar fields and the authors used the first-order framework to obtain the scalar fields solutions. Besides cosmology, the first-order framework with multi-component scalar fields was also used, for instance, in braneworld models [13][14][15][16]. The main goal of this paper is to extend the demonstration found in [9][10][11] to a system described by multi-component real scalar fields.…”

mentioning

confidence: 99%

Multi-component scalar fields and the complete factorization of its equations of motion

Granado¹

2019

EPL

View full text Add to dashboard Cite

In the paper D. Bazeia et al., EPL, 119, (2017) 61002, the authors demonstrate the equivalence between the second-order differential equation of motion and a family of first-order differential equations of Bogomolnyi type for the cases of single real and complex scalar field theories with noncanonical dynamics. The goal of this paper is to demonstrate that this equivalence is also valid for a more general classes of real scalar field models. We start the paper by demonstrating the equivalence in a single real scalar model. The first goal is to generalize the equivalence presented in papers by D. Bazeia et al. to a single real scalar field model without a specific form for its Lagrangian. The second goal is to use the setup presented in the first demonstration to show that this equivalence can be achieved also in a real multi-component scalar field model, again, without a specific form for its Lagrangian. The main goal of this paper is to show that this equivalence can be achieved in real scalar field scenarios that can be standard, or non-standard, with single, or multi-component, scalar fields.

show abstract

Evolution of fermion resonance in thick brane

Zhu,

Tan,

Zhang

et al. 2024

Commun. Theor. Phys.

View full text Add to dashboard Cite

In this work, we investigate numerical evolution of massive Kaluza-Klein (KK) modes of a Diracfield on a thick brane. We deduce the Dirac equation in five-dimensional spacetime, and obtain thetime-dependent evolution equation and Schr"odinger-like equation of the extra-dimensional component. We use the Dirac KK resonances as the initial data and study the corresponding dynamics.By monitoring the decay law of the left- and right-chiral KK resonances, we compute the corresponding lifetimes and find that there could exist long-lived KK modes on the brane. Especially,for the lightest KK resonance with a large coupling parameter and a large three momentum, it willhave an extremely long lifetime.

show abstract

Localization of Massive and Massless Fermions on Two-Field Branes

Cited by 4 publications

References 56 publications

Fermion localization and degenerate resonances on brane array

Fermion localization and degenerate resonances on brane array

Multi-component scalar fields and the complete factorization of its equations of motion

Evolution of fermion resonance in thick brane

Contact Info

Product

Resources

About