  Due to a pion-pole contribution, the nucleon axial current matrix elements
can be visualized in position space as becoming delocalized as the chiral limit
is approached, with one-third of the current at distance of order the inverse
pion mass. However, this delocalization effect will not cause calculations of
the axial coupling in a finite system with standard boundary conditions
(periodic for boson fields, antiperiodic for fermions) to have large finite
volume effects. This is seen by calculating axial coupling using a nonstandard
current with axial quantum numbers. The matrix elements of this new current
lacks a pion pole and is not delocalized; however, its zero-momentum matrix
element is identical to that of the standard axial current both for infinite
and finite volumes.
