Abstract
We show that the vacuum polarization of quantum fields in an anti-de Sitter space can naturally give rise to a small but nonzero cosmological constant in a brane world living in it. To explain the extremely small ratio of mass density in the cosmological constant to the Planck mass density in our universe (≈10-123) as suggested by cosmological observations, all we need is a four-dimensional brane world (our universe) living in a five-dimensional anti-de Sitter space with a curvature radius r0~10-3 cm and a fundamental Planck energy M P ~109 GeV , and a scalar field with a mass [Formula: see text]. Probing gravity down to a scale ~10-3 cm, which is attainable in the near future, will provide a test of the model.
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