In this note we reexamine the possibility of extracting parton distribution functions from lattice simulations. We discuss the case of quasi-parton 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 lattice momenta limitation represents an obstruction to a direct Euclidean calculation of the parton distribution function.
@article{arxiv.1806.00808,
title = {Euclidean versus Minkowski short distance},
author = {Giancarlo Rossi and Massimo Testa},
journal= {arXiv preprint arXiv:1806.00808},
year = {2018}
}