  In this short review (to appear as a contribution to an edited volume) we
discuss perturbative and non-perturbative approaches to the quantization of the
Green-Schwarz string in AdS backgrounds with RR-fluxes, where the guiding
thread is the use of genuine field theory methods, the search for a good
regularization scheme associated to them and the generality of the analysis
carried out. We touch upon various computational setups, both analytical and
numerical, and on the role of their outcomes in understanding the detailed
structure of the AdS/CFT correspondence.
