Aplicação da q-Álgebra nos cenários de localização de gravidade e correspondência AdS/QCD.

Abstract

In this paper we discuss the aplication of the q-algebra in localized gravity scenarios and correspondence AdS=QCD. For the introduction of this algebra in these scenarios is the lack of a full understanding about the physical origin around the q-deformation, and we try gets it with your application by way of a warp factor, i.e, the parameter q. In this case we nd the shape of the spectrum modi ed by this kind of q-deformed algebra for a Schr odinger-like equation which came from the uctuations around the metric. We also nd forms of Newtonian limits to Karch and Randall case and in the original Randall and Sundrum model. In these two cases it was observed that this correction to the Newtonian potential is equivalent to a of correction for the cosmological constant of the bulk in the ve-dimensional Randall and Sundrum model. And for the Karch and Randall case the Newtonian potential is a correction for the cosmological constant of the brane, morover the AdS=QCD case involvid a study of a quantum harmonic oscillator-like equation. With this in mind we have introduced a gaussian warp factor in the Schr odinger-like equation, which came from the study of uctuations such an approch resulting in a modi ed spectrum for the oscillator, furthermore we conducted a study of holographic duality in this scenario, in order to observe how the q-deformation modi es the con nement between quarks.