  A completely new strategy to calculate parton distribution functions on the
lattice has recently been proposed. In this method, lattice calculable
observables, called quasi distributions, are related to normal distributions.
The quasi distributions are known to contain power-law UV divergences arise
from a Wilson line in the non-local operator, while the normal distributions
only have logatithmic UV divergences. We propose possible method to subtract
the power divegence to make the matching of the quasi with the normal
distributions well-defined. We also demonstrate the matching of the quasi quark
distribution between continuum and lattice implementing the power divergence
subtraction. The matching calculations are carried out by one-loop
perturbation.
