TY - JOUR

T1 - Creation of a brane world with a bulk scalar field

AU - Aoyanagi, Koh Suke

AU - Maeda, Kei Ichi

PY - 2006/3/22

Y1 - 2006/3/22

N2 - We investigate a creation of a brane world with a bulk scalar field. We consider an exponential potential of a bulk scalar field; V(φ) ∝ (-2βφ), where β is the parameter of the theory. This model is based on a supersymmetric theory, and includes Randall-Sundrum model (β = 0) and the 5-dimensional effective model of the Horva-Witten theory (β = 1). We show that for this potential a brane instanton is constructed only when a 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 β2 > 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.

AB - We investigate a creation of a brane world with a bulk scalar field. We consider an exponential potential of a bulk scalar field; V(φ) ∝ (-2βφ), where β is the parameter of the theory. This model is based on a supersymmetric theory, and includes Randall-Sundrum model (β = 0) and the 5-dimensional effective model of the Horva-Witten theory (β = 1). We show that for this potential a brane instanton is constructed only when a 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 β2 > 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.

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U2 - 10.1088/1742-6596/31/1/062

DO - 10.1088/1742-6596/31/1/062

M3 - Article

AN - SCOPUS:33645395058

VL - 31

SP - 219

EP - 220

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

ER -