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In this note we reexamine the possibility of extracting parton distributionfunctions from lattice simulations. We discuss the case of quasi-partondistribution functions, the possibility of using the reduced Ioffe-timedistributions and the more recent proposal of directly making reference to thecomputation of the current-current $T$-product. We show that in all cases theprocess of renormalization hindered by lattice momenta limitation represents anobstruction to a direct Euclidean calculation of the parton distributionfunction.

Euclidean versus Minkowski short distance