Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-02-15
JCAP 0603:012,2006
Physics
High Energy Physics
High Energy Physics - Theory
Scientific paper
10.1088/1475-7516/2006/03/012
We investigate the creation of a brane world with a bulk scalar field. We consider an exponential potential of a bulk scalar field: $V(\phi)\propto \exp(-2\beta \phi)$, where $\beta$ is the parameter of the theory. This model is based on a supersymmetric theory, and includes the Randall-Sundrum model ($\beta=0$) and the 5-dimensional effective model of the Ho\u{r}va-Witten theory ($\beta=1$). We show that for this potential a brane instanton is constructed only when the curvature of a brane vanishes, that is, the brane is flat. We construct an instanton with two branes and a singular instanton with a single brane. The Euclidean action of the singular instanton solution is finite if $\beta^2 >2/3$. We also calculate perturbations of the action around a singular instanton solution in order to show that the singular instanton is well-defined.
Aoyanagi Koh-suke
Maeda Kei--ichi
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