A Ghost Story II: Ghosts, Gluons and the Gluon condensate beyond the IR of QCD

TL;DR

This paper explores the behavior of ghost and gluon propagators beyond the deep infrared in QCD, utilizing lattice simulations to extract the $ m ext{QCD}$ scale and examining the role of the gluon condensate in non-perturbative effects.

Contribution

It provides new insights into the non-perturbative regime of QCD by analyzing ghost and gluon propagators and extracting the $ m ext{QCD}$ scale using lattice data.

Findings

Computed the Taylor-scheme coupling from lattice simulations.

Estimated the $ m ext{QCD}$ scale parameter $ m ext{ extLambda}_{ m QCD}$.

Highlighted the significance of the dimension-two gluon condensate in non-perturbative QCD.

Abstract

Beyond the deep IR, the analysis of ghost and gluon propagators still keeps very interesting non-perturbative information. The Taylor-scheme coupling can be computed and applied to obtain the $\Lambda_{\rm QCD}$ parameter from Landau gauge lattice simulations. Furthermore, a dimension-two gluon condensate, that can be understood in the instanton liquid model, plays an important role in the game.