The Nielsen identities in screened theories
High Energy Physics - Theory
2022-11-08 v2 High Energy Physics - Lattice
High Energy Physics - Phenomenology
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.
Keywords
Cite
@article{arxiv.2208.03534,
title = {The Nielsen identities in screened theories},
author = {Fabio Siringo and Giorgio Comitini},
journal= {arXiv preprint arXiv:2208.03534},
year = {2022}
}