Gauge dependence in the AdS/CFT correspondence

We consider the AdS space formulation of the classical dynamics deriving from the Stuckelberg Lagrangian. The on-shell action is shown to be free of infrared singularities as the vector boson mass tends to zero. In this limit the model becomes Maxwell theory formulated in an arbitrary covariant gauge. Then we use the AdS/CFT correspondence to compute the two-point correlation functions on the boundary. It is shown that the gauge dependence concentrates on the contact terms while the nontrivial part of the conformal theory correlators turns out to be that already found by working in a completely fixed gauge.