Linking continuum and lattice quark mass functions via an effective charge

TL;DR

This paper demonstrates a strong agreement between continuum and lattice approaches in calculating the quark mass function, linking the effective charge to gluon and hadron mass emergence.

Contribution

It establishes a connection between Dyson-Schwinger equation truncations and lattice simulations, unifying continuum and lattice results for quark mass functions.

Findings

Excellent agreement between Dyson-Schwinger and lattice results

Effective charge based on a process-independent running coupling

Correlation between gluon and hadron mass emergence

Abstract

The quark mass function is computed both by solving the quark propagator Dyson-Schwinger equation and from lattice simulations implementing overlap and Domain-Wall fermion actions for valence and sea quarks, respectively. The results are confronted and seen to produce a very congruent picture, showing a remarkable agreement for the explored range of current-quark masses. The effective running-interaction is based on a process-independent charge rooted on a particular truncation of the Dyson-Schwinger equations in the gauge sector, establishing thus a link from there to the quark sector and inspiring a correlation between the emergence of gluon and hadron masses.