Nielsen identities in screened theories

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.

Automated summary

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