Chiral symmetry breaking with a non-enhanced ghost sector

TL;DR

This paper investigates chiral symmetry breaking using lattice-inspired gluon and ghost propagators, emphasizing the role of the quark-gluon vertex, and achieves realistic quark mass and phenomenological parameter estimates.

Contribution

It introduces a detailed analysis of the non-Abelian quark-gluon vertex dependence on ghost dressing functions in chiral symmetry breaking models.

Findings

Dynamical quark masses around 300 MeV obtained.

Computed pion decay constant and quark condensate consistent with phenomenology.

Highlights the importance of ghost sector in chiral symmetry breaking.

Abstract

We study chiral symmetry breaking using the quark gap equation supplemented with the infrared-finite gluon propagator and ghost dressing function obtained from large-volume lattice simulations. One of the most important ingredients of this analysis is the non-Abelian quark-gluon vertex, which displays a crucial dependence on the ghost dressing function and the quark-ghost scattering amplitude. The various theoretical ingredients necessary for this construction are reviewed in detail. As a result, we obtain a dynamical quark masses of the order of 300 MeV, which is used to compute phenomenological parameters such as the pion decay constant and the quark condensate.