Propagators and effective potentials in anti-de Sitter space

We calculate the propagator and one-loop effective potential for a scalar in an n-dimensional anti-de Sitter background. The computation is done by directly summing the modes appropriate to supersymmetric boundary conditions as well as by analytic continuation from the euclidean n-sphere. We show that the direct mode sum gives a physically reasonable potential which disagrees with the one obtained by analytic continuation from Sn.