  Closed string theories on orbifolds contain both untwisted and twisted
states. The latter are normally assumed to live exactly at the orbifold fixed
points. We perform a calculation of a gauge field tadpole amplitude and show
that off-shell both the twisted and untwisted states give rise to non-trivial
momentum profiles over the orbifold C^3/Z_3. These profiles take the form of
Gaussian distributions integrated over the fundamental domain of the modular
parameter of the torus. The propagators of the internal coordinate fields on
the torus world sheet determine the width of the Gaussian profiles. These
propagators are determined up to a single normal ordering constant which must
be bounded below to allow the existence of the coordinate space representation
of these Gaussians. Apart from the expected massless states, massive and even
tachyonic string excitations contribute to the profiles in some anomalous U(1)
models. However, when a tadpole is integrated over the internal dimensions,
these tachyonic contributions cancel in a non-trivial manner.
