Abstract
In the generalized Randall-Sundrum warped brane-world model the cosmological constant induced on the visible brane can be positive or negative. In this paper we investigate profiles of vacuum expectation value of the bulk scalar field under general Dirichlet and Neumann boundary conditions in the generalized warped brane-world model. We show that the VEV profiles generally depend on the value of the brane cosmological constant. We find that the VEV profiles of the bulk scalar field for a visible brane with negative cosmological constant and positive tension are quite distinct from those of Randall-Sundrum model. In addition we show that the VEV profiles for a visible brane with large positive cosmological constant are also different from those of the Randall-Sundrum model. We also verify that Goldberger and Wise mechanism can work under nonzero Dirichlet boundary conditions in the generalized Randall-Sundrum model.
Highlights
Extra dimension is an important subject in the realm of theoretical physics that provides many creative ways to solve some problems in physics such as hierarchy problem
In the Randall and Sundrum (RS) model the size of extra dimension, rc, is not determined by the dynamic of the model. For this scenario to be relevant, it is necessary to find a mechanism for generating a potential to stabilize the value of rc. This mechanism was proposed by Goldberger and Wise (GW) [4] so that the dynamic of a five-dimensional bulk scalar field in such model could stabilize the size of extra dimension
In this figure we have assumed the brane tension of visible brane to be positive (see (A.4) for details). we find that the pattern of localization is different from that of the RS case
Summary
Extra dimension is an important subject in the realm of theoretical physics that provides many creative ways to solve some problems in physics such as hierarchy problem. For this scenario to be relevant, it is necessary to find a mechanism for generating a potential to stabilize the value of rc This mechanism was proposed by Goldberger and Wise (GW) [4] so that the dynamic of a five-dimensional bulk scalar field in such model could stabilize the size of extra dimension. Haba et al [10] have analyzed profiles of vacuum expectation value (VEV) of the bulk scalar field under the general boundary conditions (BCs) on the RS warped compactification.
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