Fermion and graviton in Dirac–Born–Infeld braneworld models

Mazani, Esmaeil; Tofighi, A.; Sorkhi, Masoumeh Moazzen

doi:10.1140/epjc/s10052-020-7826-9

Cited by 6 publications

(4 citation statements)

References 53 publications

(94 reference statements)

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“…This means that the Cuscuton dynamics also plays a role in this case, contributing to change the geometry of the brane, an issue that may modify phenomenological aspects of particle physics in the F(R)+T scenario. This motivates other investigations, in particular, on the entrapment of fermions [48][49][50]. Moreover, it may also contribute to change the cosmological behavior under possible braneworld cosmology scenarios; see, e.g., Refs.…”

Section: Comments and Conclusionmentioning

confidence: 59%

Effects of Cuscuton dynamics on braneworld configurations in the scalar–tensor representation of $$f\left( R,T\right) $$ gravity

2022

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In this work we study braneworld configurations in the scalar–tensor representation of the $$f\left( R,T\right) $$ f R , T gravity theory in the presence of a Cuscuton term in the source field matter Lagrangian. We start by deriving the scalar–tensor representation of the theory and obtaining its respective equations of motion. We then introduce the standard metric for a flat braneworld model with one extra dimension for the general case of a $$f\left( R,T\right) $$ f R , T theory and study two different models for the source field. Given the complexity of the field equations, these solutions are obtained numerically. In these cases, the Cuscuton term effectively amplifies the effect, by increasing the height of the stability potential barrier and, consequently, the depth of the minimum of the graviton zero-mode on the brane. Finally, we study the particular cases of $$F(R)+T$$ F ( R ) + T and $$R+G\left( T\right) $$ R + G T , for which only the scalar fields $$\varphi $$ φ or $$\psi $$ ψ are present, respectively, and we prove that the presence of the scalar field $$\varphi $$ φ is essential in the development of internal structure on the brane.

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Section: Comments and Conclusionmentioning

confidence: 59%

Effects of Cuscuton dynamics on braneworld configurations in the scalar–tensor representation of $$f\left( R,T\right) $$ gravity

2022

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“…However, there are significant differences between them. For a spinor field, the left and right components of the zero mode can not been localized on brane at the same time [15,16,25,[30][31][32][33][34][35]. If we regard the zero mode particle as an electron, a contradiction would arise since it has been observed that electrons have both chiralities.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

“…This mechanism is called as localization. There are a lot of references for the thick brane models and localization of gravity and matter fields [7][8][9][10][11][12][13][14][15][16][17][18][19][20], see Refs. [21][22][23][24][25][26] for reviews.…”

Section: Introductionmentioning

confidence: 99%

Effective action of a self-interacting scalar field on brane

Cheng-Chen

Cui²,

Sui³

et al. 2023

Eur. Phys. J. C

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In extra dimensional theories, the four-dimensional field theory is reduced from a fundamental field theory in the bulk spacetime by integrating the extra dimensional part. In this paper we investigate the effective action of a self-interacting scalar field on a brane in the five-dimensional thick braneworld scenario. We consider two typical thick brane solutions and obtain the Pöschl–Teller and harmonic potentials of the Kaluza–Klein (KK) modes, respectively. The analytical mass spectra and wave functions along extra dimension of the KK modes are obtained. Further, the effective coupling constant between different KK particles, cross section, and decay rate for some processes of the KK particles are related to the fundamental coupling in five dimensions and the new physics energy scale. Some interesting properties of these interactions are found with these calculations. The KK particles with higher mode have longer lifetime, and they almost do not interact with ordinary matter on the brane if their mode numbers are large enough. Thus, these KK particles with higher modes might be a candidate of dark matter.

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“…This has been considered in several different contexts in Refs. [35][36][37][38][39][40][41][42][43][44][45][46][47][48] and in references therein. In particular, an interesting scenario arises for the construction of braneworld solutions in modified gravity with Lagrange multipliers [47,48].…”

Section: Introductionmentioning

confidence: 99%

Novel modified gravity braneworld configurations with a Lagrange multiplier

Bazeia,

Ferreira,

Lobo

et al. 2020

Preprint

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In this work we deal with thick brane solutions in the warped five-dimensional braneworld scenario with a single extra spatial dimension of infinite extent, for a class of modified theories of gravity with a Lagrange multiplier. We first present the action, describe the gravity and field equations, outline a strategy to find explicit solutions and explore the stability of the gravitational sector. Afterwards, we focus on specific models with a single scalar field, to discuss the interesting possibility of simulating models described by two scalar fields. In particular, we find specific symmetric and asymmetric brane configurations that engender asymptotic profiles with symmetric and asymmetric five-dimensional anti-de Sitter geometries. Thus, including the presence of a Lagrange multiplier unveils an alternative approach to induce an internal brane structure and traces out new avenues of research in braneworld scenarios.

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Fermion and graviton in Dirac–Born–Infeld braneworld models

Cited by 6 publications

References 53 publications

Effects of Cuscuton dynamics on braneworld configurations in the scalar–tensor representation of $$f\left( R,T\right) $$ gravity

Effects of Cuscuton dynamics on braneworld configurations in the scalar–tensor representation of $$f\left( R,T\right) $$ gravity

Effective action of a self-interacting scalar field on brane

Novel modified gravity braneworld configurations with a Lagrange multiplier

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