Dynamically massive linear covariant gauges: setup and first results
Abstract
We discuss the possibility to obtain a massive Landau gauge, based on the local composite operator (LCO) effective action framework combined with the Zimmerman reduction of couplings prescription. As a way to deal with the gauge ambiguity, we check that the ghost propagator remains positive, a necessary condition for gluon field configurations beyond the Gribov region to be negligible. We pay attention to the BRST invariance of the construction, allowing for a future generalization to a class of massive linear covariant gauges. As a litmus test, we compare our predictions to the lattice data for the two-point functions in Landau gauge introducing the "Dynamically Infrared-Safe" renormalization scheme, including the renormalization group optimization of both the gap equation and the two-point functions. We also discuss the relation to and differences with the Curci-Ferrari model, the usefulness of which in providing an effective perturbative description of non-perturbative Yang-Mills theories became clear during recent years.
Cite
@article{arxiv.2312.07608,
title = {Dynamically massive linear covariant gauges: setup and first results},
author = {Giorgio Comitini and Tim De Meerleer and David Dudal and Silvio Paolo Sorella},
journal= {arXiv preprint arXiv:2312.07608},
year = {2024}
}