Hadron phenomenology from first-principle QCD studies

TL;DR

This paper reviews a first-principles approach to deriving the kernel in Bethe-Salpeter equations for hadron properties, combining lattice and Dyson-Schwinger methods to achieve accurate, process-independent predictions.

Contribution

It introduces a universal, process-independent kernel derived from nonperturbative QCD techniques, bridging lattice and Dyson-Schwinger approaches for hadron phenomenology.

Findings

Universal kernel matches lattice and Dyson-Schwinger results

Renormalization-group invariant quark-gluon interaction strength obtained

Consistent predictions for hadron properties from different methods

Abstract

The form of the kernel that controls the dynamics of the Bethe-Salpeter equations is essential for obtaining quantitatively accurate predictions for the observable properties of hadrons. In the present work we briefly review the basic physical concepts and field-theoretic techniques employed in a first-principle derivation of a universal (process-independent) component of this kernel. This "top-down" approach combines nonperturbative ingredients obtained from lattice simulations and Dyson-Schwinger equations, and furnishes a renormalization-group invariant quark-gluon interaction strength, which is in excellent agreement with the corresponding quantity obtained from a systematic "bottom-up" treatment, where bound-state data are fitted within a well-defined truncation scheme.