The IR sector of QCD: lattice versus Schwinger-Dyson equations

TL;DR

This paper compares lattice QCD and Schwinger-Dyson equations to understand the infrared behavior of QCD's Green's functions, focusing on the ghost sector, effective charge, and Kugo-Ojima function.

Contribution

It reviews recent advances in lattice data and Schwinger-Dyson truncations, highlighting their interplay in studying non-perturbative QCD dynamics.

Findings

Enhanced understanding of ghost propagator behavior

Insights into the non-perturbative effective charge of QCD

Implications for the Kugo-Ojima confinement criterion

Abstract

Important information about the infrared dynamics of QCD is encoded in the behavior of its (of-shell) Green's functions, most notably the gluon and the ghost propagators. Due to recent improvements in the quality of lattice data and the truncation schemes employed for the Schwinger-Dyson equations we have now reached a point where the interplay between these two non-perturbative tools can be most fruitful. In this talk several of the above points will be reviewed, with particular emphasis on the implications for the ghost sector, the non-perturbative effective charge of QCD, and the Kugo-Ojima function.