Mass hierarchy and mass gap on thick branes with Poincare symmetry

Details Mass hierarchy and mass gap on thick branes with Poincare symmetry Mass hierarchy and mass gap on thick branes with Poincare symmetry

2007-12-19

arxiv.org/abs/0712.3098v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages in jhep format, no figures

Scientific paper

We consider a scalar thick brane configuration arising in a 5D theory of gravity coupled to a self-interacting scalar field in a regular Riemannian manifold. We take as a starting point a known classical solution of the corresponding field equations and elaborate on the physics of the transverse traceless modes of linear fluctuations of the classical background, which obey a Schroedinger-like equation. We further consider a special case in which this equation can be solved analytically for any massive mode, allowing us to study in closed form the massive spectrum of Kaluza-Klein (KK) excitations. We obtain two bound states - the massless 4D graviton free of tachyonic instabilities and a massive KK excitation - as well as a continuous spectrum of massive KK modes. Between the massless and the excited modes there is a mass gap defined by the inverse of the brane thickness, getting rid of the potentially dangerous multiplicity of arbitrarily light KK modes. It is shown that due to this lucky circumstance, the solution of the mass hierarchy problem is much simpler and transparent than in the (thin) Randall-Sundrum (RS) two-brane configuration. Corrections to Newton's law in the thin brane limit are finally quoted.

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