Effect of the Quark-Gluon Vertex on Dynamical Chiral Symmetry Breaking

Abstract

In this work, we investigate how the details of the quark-gluon interaction vertex affect the quantitative description of chiral symmetry breaking through the gap equation for quarks. We start from two gluon propagator models widely used in literature and constructed in direct connection with our gradually improved understanding of infrared quantum chromodynamics coupled with its exact one-loop limit. The gap equation is then solved by employing a variety of vertex \emph{Ansätze}, which have been constructed in order to implement some of the key aspects of quantum chromodynamics, namely, multiplicative renormalizability of the quark propagator, gauge invariance, matching with perturbation theory in the weak coupling regime, independence from unphysical kinematic singularities as well as manifestly correct transformation properties under charge conjugation and parity operations. On general grounds, all truncation schemes exhibit the same qualitative and quantitative pattern of chiral symmetry breaking, ensuring the overall robustness of this approach and its potentially reliable description of the hadron spectrum and properties.

14 pages. Text matching the published version in Physical Review D

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• Quark-gluon vertex from Nf=2 lattice QCD
• Pion and Kaon box contribution to $a_{\mu }^{\text{HLbL}}$
• Pseudo-scalar mesons: light front wave functions, GPDs and PDFs
• Quark anomalous magnetic moment and its effects on the $\rho$ meson properties
• The impact of transverse Slavnov-Taylor identities on dynamical chiral symmetry breaking
• Radially excited pion: electromagnetic form factor and the box contribution to the muon's $g-2$
• Linking continuum and lattice quark mass functions via an effective charge
• $D^{\ast }D\pi$ and $B^{\ast }B\pi$ couplings from Dyson-Schwinger equations framework