  In recent years, the quasi parton distribution has been introduced for
extracting the parton distribution functions from lattice QCD simulations. The
quasi and standard distribution share the same perturbative collinear
singularity and the renormalized quasi distribution can be factorized into the
standard distribution with a perturbative matching factor. The quasi parton
distribution is known to have power-law UV divergences, which do not exist in
the standard distribution. We discuss in this talk the nonperturbative
renormalization scheme for the power divergence. We also demonstrate the
perturbative matching of the quasi quark distribution between continuum and
lattice at the one-loop.
