Abstract
The vacuum expectation value of the surface energy-momentum tensor of a charged scalar field on a flat brane in an anti-de Sitter space-time with a compact spatial dimension is studied. The existence of a constant gauge field is also assumed. Because of the nontrivial topology of the space, the latter leads to an Aharonov-Bohm type effect. A generalized zeta-function method is used for renormalizing the vacuum expectation value. The cosmological constant induced on the brane is a periodic function of the magnetic flux through the compact dimension and, depending on the parameters of the problem, can be either positive or negative.
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