Scalar field localization on a brane with cosmological constant

Details Scalar field localization on a brane with cosmological constant Scalar field localization on a brane with cosmological constant

2002-11-13

arxiv.org/abs/hep-th/0211112v2

Class.Quant.Grav. 20 (2003) 3717-3728

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 5 figures

Scientific paper

10.1088/0264-9381/20/16/312

We address the localization of a scalar field, whose bulk-mass M is considered in a wide range including the tachyonic region,on a three-brane. The brane with non-zero cosmological constant $\lambda$ is embedded in five dimensional bulk space. We find in this case that the trapped scalar could have mass $m$ which has an upper bound and expressed as $m^2=m_0^2+\alpha M^2\leq \beta |\lambda|$ with the calculable numbers $m_0^2, \alpha, \beta$. We point out that this result would be important to study the stability of the brane and cosmological problems based on the brane-world.

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