https://doi.org/10.1140/epjc/s10052-020-7826-9
Regular Article - Theoretical Physics
Fermion and graviton in Dirac–Born–Infeld braneworld models
1
Department of Physics, Faculty of Basic Sciences, University of Mazandaran, P.O. Box 47416-95447, Babolsar, Iran
2
Department of Physics, Kosar University of Bojnord, Bojnord, Iran
* e-mail: e.mazani@stu.umz.ac.ir
Received:
30
July
2019
Accepted:
11
March
2020
Published online:
24
March
2020
In this paper, we study the braneworld models with non-standard kinetic term of Dirac–Born–Infeld (DBI) type in two case which are (I) in usual gravity and (II) in f(T) gravity. In each of these cases, we examine gravity localization on branes and show that both models are stable and capable of gravity localizing in a similar manner to the standard case of braneworld models. In addition, we investigate the problem of fermion localization in both models and by considering the Yukawa coupling as a function of the warp factor, we show that the massless zero mode of fermion fields are localized on both types of the the branes. Meanwhile, the effect of parameters in both models is addressed on the zero mode and massive mode of graviton and fermion and the effective potentials. Finally, we study the gauge hierarchy problem in both models and we show that by choosing the appropriate parameters, both models are able to solve the gauge hierarchy problem between the Tev scale and the Planck scale.
© The Author(s), 2020