# Non-perturbative quark, gluon and meson correlators of unquenched QCD

## TL;DR

This paper provides non-perturbative, first-principle calculations of quark, gluon, and meson correlation functions in unquenched QCD, essential for understanding the QCD phase diagram and hadron spectrum.

## Contribution

It presents systematic solutions to the functional renormalisation group equations for various correlation functions in unquenched QCD, advancing quantitative first-principle studies.

## Key findings

- Quantitative results for gluon, ghost, quark, and meson propagators.
- Emphasizes the importance of correct vertex running in the semi-perturbative regime.
- Supports the description of confinement and chiral symmetry breaking without phenomenological input.

## Abstract

We present non-perturbative first-principle results for quark-, gluon- and meson $1$PI correlation functions of two-flavour Landau-gauge QCD in the vacuum. These correlation functions carry the full information about the theory. They are obtained by solving their Functional Renormalisation Group equations in a systematic vertex expansion, aiming at apparent convergence. This work represents a crucial prerequisite for quantitative first-principle studies of the QCD phase diagram and the hadron spectrum within this framework. In particular, we have computed the gluon, ghost, quark and scalar-pseudoscalar meson propagators, as well as gluon, ghost-gluon, quark-gluon, quark, quark-meson, and meson interactions. Our results stress the crucial importance of the quantitatively correct running of different vertices in the semi-perturbative regime for describing the phenomena and scales of confinement and spontaneous chiral symmetry breaking without phenomenological input.