  We obtain analytic results for the four-point amplitude, at one loop, of an
interacting scalar field theory in four-dimensional, Euclidean anti-de Sitter
space without exerting any conformal field theory knowledge. For the two-point
function, we provide analytic expressions up to two loops. In addition, we
argue that the critical exponents of correlation functions near the conformal
boundary of anti-de Sitter space provide the necessary data for the
renormalization conditions, thus replacing the usual on-shell condition.
