  One-loop explicit expressions are derived for the gluon Nielsen identity in
the formalism of the screened massive expansion for Yang-Mills theory. The
gauge-parameter-independence of the poles and residues is discussed in a strict
perturbative context and, more generally, in extended resummation schemes. No
exact formal proof was reached by the approximate resummation schemes, but some
evidence is gathered in favor of an exact invariance of the phase, consistently
with previous numerical studies.
