Bridging a gap between continuum-QCD and ab initio predictions of hadron observables

TL;DR

This paper unites two main approaches in hadron physics by showing that the interaction predicted by gauge-sector analyses matches that needed for accurate bound-state predictions, bridging a significant gap in continuum-QCD.

Contribution

It demonstrates the consistency between top-down and bottom-up methods in predicting the quark interaction in QCD, uniting continuum-QCD with ab initio bound-state calculations.

Findings

The gauge-sector analysis predicts a running interaction matching that used in bound-state calculations.

This unification confirms the validity of nonperturbative Dyson-Schwinger equation truncations.

Bridges a longstanding gap between continuum-QCD and ab initio hadron property predictions.

Abstract

Within contemporary hadron physics there are two common methods for determining the momentum-dependence of the interaction between quarks: the top-down approach, which works toward an ab initio computation of the interaction via direct analysis of the gauge-sector gap equations; and the bottom-up scheme, which aims to infer the interaction by fitting data within a well-defined truncation of those equations in the matter sector that are relevant to bound-state properties. We unite these two approaches by demonstrating that the renormalisation-group-invariant running-interaction predicted by contemporary analyses of QCD's gauge sector coincides with that required in order to describe ground-state hadron observables using a nonperturbative truncation of QCD's Dyson-Schwinger equations in the matter sector. This bridges a gap that had lain between nonperturbative continuum-QCD and the ab initio prediction of bound-state properties.