Linking continuum and lattice quark mass functions via an effective charge

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 examined and are 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 a link from there to the quark sector and inspiring a correlation between the emergence of gluon and hadron masses.

Automated summary

The quark mass function is calculated using both the quark propagator Dyson-Schwinger equation and lattice simulations with overlap and domain-wall fermion actions. The results from both methods show a consistent pattern within the explored range of current-quark masses. Furthermore, the effective running interaction, based on a process-independent charge derived from a specific truncation of the Dyson-Schwinger equations in the gauge sector, establishes a link between the emergence of gluon and hadron masses in the quark sector.