The gap equation in QCD and the origin of the light hadron’s masses
Whether a mass gap occurs in QCD, and therefore DCSB leading to constituent masses, depends on the DSE kernel. One crucial ingredient is the quark-gluon vertex whose structure is complex once dressed with gluons. We use QCD gauge identities and multiplicative renormalizability to derive the form factors of the vertex and combine them with lattice QCD gluon and ghost propagators. Solving numerically the DSE shows that the induced DCSB is very large and produces a realistic constituent-quark mass.