Wave function of the radion in the brane background with a massless scalar field and a self-tuning problem

Details Wave function of the radion in the brane background with a massless scalar field and a self-tuning problem Wave function of the radion in the brane background with a massless scalar field and a self-tuning problem

2001-10-11

arxiv.org/abs/hep-th/0110103v3

Phys.Rev.D66:106004,2002

Physics

High Energy Physics

High Energy Physics - Theory

Latex file of 18 pages including 1 eps figure

Scientific paper

10.1103/PhysRevD.66.106004

We consider flat solutions in the brane background with a massless scalar field appearing in 5D $H^2_{MNPQ}$. Since there exist bulk singularities or arises the divergent 4D Planck mass, we should introduce a compact extra dimension, the size of which is then fixed by brane tension(s) and a bulk cosmological constant. Inspecting scalar perturbations around the flat solutions, we find that the flat solutions are stable vacua from the positive mass spectrum of radion. We show that the massless radion mode is projected out by the boundary condition arising in cutting off the extra dimension. Thus, the fixed extra dimension is not alterable, which is not useful toward a self-tuning of the cosmological constant.

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