  Applying the background field method, we construct by explicit computation
the leading-order non-local quantum correction to the on-shell effective action
for $\phi^3$ theory in six dimensions. We then use the resulting action to
obtain the non-local correction to the energy-momentum tensor. At leading
order, we find that this non-local correction modifies the virial current when
the scalar field is minimally coupled to gravity. This is to be compared to the
classically Weyl invariant case, where it only corrects the traceless part of
the energy-momentum tensor.
