English

Interplay of dynamical and explicit chiral symmetry breaking effects on a quark

High Energy Physics - Phenomenology 2019-05-29 v2 Nuclear Theory

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, mu,d(μ)m(μ)mb(μ)m_{u,d}(\mu) \leq m(\mu) \leq m_b(\mu), and equal contributions of explicit and dynamical chiral symmetry breaking occur at m(μ)400m(\mu) \approx 400~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}
}