Abstract
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.
Highlights
The issue of localization of matter fields on different branes can be of great importance, since it reflects the fact that which brane structure is more acceptable from the phenomenological point of view
We call these models as DBI braneworld models. We examine these models in two separate categories, which are (I) DBI braneworld model in usual gravity and (II) DBI braneworld model in f (T ) gravity
We have studied the localization of graviton and fermion fields in two braneworld models with nonstandard kinetic terms, which we named as (I) DBI braneworld models in usual gravity and (II) DBI braneworld models in f (T ) gravity
Summary
The issue of localization of matter fields on different branes can be of great importance, since it reflects the fact that which brane structure is more acceptable from the phenomenological point of view. [31] is the introduction of a derivative fermion-scalar coupling in which the background scalar field can be an even or odd function of extra dimension Another method is the introduction of a coupling between the spinor field and the scalar curvature of space-time, which is used in Ref. The issue of the localization of different matter fields in braneworld models has been widely studied. We intend to study the DBI braneworld models in two cases, which are: (1) DBI braneworld models in usual gravity, (2) DBI braneworld models in f (T ) gravity In each of these cases, we examine the stability of the model and the graviton and fermion localization conditions.
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