Euclidean versus Minkowski short distance

In this paper we reexamine the possibility of extracting parton distribution functions from lattice simulations. We discuss the case of quasiparton distribution functions, the possibility of using the reduced Ioffe-time distributions and the more recent proposal of directly making reference to the computation of the current-current T-product. We show that in all cases the process of renormalization hindered by the lattice momenta limitation represents an obstruction to a direct Euclidean calculation of the parton distribution function.