Interplay of dynamical and explicit chiral symmetry breaking effects on a quark
Abstract
The relative contributions of explicit and dynamical chiral symmetry breaking in QCD models of the quark-gap equation are studied in dependence of frequently employed ans\"atze for the dressed interaction and quark-gluon vertex. The explicit symmetry breaking contributions are defined by a constituent-quark sigma term whereas the combined effects of explicit and dynamical symmetry breaking are described by a Euclidean constituent-mass solution. We extend this study of the gap equation to a quark-gluon vertex beyond the Abelian approximation complemented with numerical gluon- and ghost-dressing functions from lattice QCD. We find that the ratio of the sigma term over the Euclidean mass is largely independent of nonperturbative interaction and vertex models for current-quark masses, , and equal contributions of explicit and dynamical chiral symmetry breaking occur at ~MeV. For massive solutions of the gap equation with lattice propagators this value decreases to about 200~MeV.
Keywords
Cite
@article{arxiv.1812.01096,
title = {Interplay of dynamical and explicit chiral symmetry breaking effects on a quark},
author = {Fernando E. Serna and Chen Chen and Bruno El-Bennich},
journal= {arXiv preprint arXiv:1812.01096},
year = {2019}
}