The Nielsen identities in screened theories

Abstract

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.

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Cited by in corpus (5)

• Dynamically massive linear covariant gauges: setup and first results
• Analytic continuation and physical content of the gluon propagator
• QCD phase diagram from the gluon propagator at finite temperature and density
• Screened massive expansion of Schwinger-Dyson equations
• One-loop analytic structure of the deep-infrared Landau-gauge gluon propagator at finite temperature