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Scalar field localization on a brane with cosmological constant

Kazuo Ghoroku·Masanobu Yahiro
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Abstract

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 $λ$ 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 $m^2=m_0^2+αM^2\leq β|λ|$ with the calculable numbers $m_0^2, α, β$. 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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Kazuo Ghoroku, Masanobu Yahiro. 2003-01-08. Scalar field localization on a brane with cosmological constant. https://doi.org/10.1088/0264-9381%2F20%2F16%2F312

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