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

• Main Authors: Sultan, M. Atif, Raya, Khépani, Akram, Faisal, Bashir, Adnan, Masud, Bilal
• Format: Journal Article
• Language: English
• Published: 13-10-2023
• Subjects: Physics - High Energy Physics - Phenomenology; Physics - Nuclear Theory
• DOI: 10.48550/arxiv.1810.01396

Phys. Rev. D 103, 054036 (2021) 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{Ans\"atze}, 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.