Non-minimally coupled bulk scalar fields in sine–Gordon braneworld models

摘要

AbstractIn this paper, we investigate localization of bulk scalar fields in two types of five-dimensional braneworld models given by sine–Gordon potentials (SG). The sine–Gordon and Double sine–Gordon (DSG) branes are employed to produce different thick brane setups. In both scenarios, we include the bulk mass and non-minimally coupled terms in the global action and obtain some implications on the volcano-like potentials of the Kaluza–Klein modes associated to the corresponding Schr?dinger-like equations. Also, we find that minimally and non-minimally coupled massive bulk scalar fields can be localized on SG and DSG branes if their bulk mass obeys an upper bound. Furthermore, it is shown that at the critical value of the non-minimal coupling constant the bulk scalar field cannot be localized on the branes.Highlights?As this figure shows the potentialV(z)has a volcano shape and tends to zero whenz→±∞which means that there is no mass gap to separate the massless zero mode from the exited massive KK modes.?This means that whenξ=ξc, a tachyonic bound state can be expected on the SG brane at least in the regionms2/mml:mo>0.?For both cases of SG and DSG branes, it was shown that minimally coupled massless bulk scalar fields which have properties very like to the gravitons can be localized on the brane without any constraints on the models.]]>