QCD modeling of hadron physics

We review recent developments in the understanding of meson properties as solutions of the Bethe–Salpeter equation in rainbow-ladder truncation. Included are recent results for the pseudoscalar and vector meson masses and leptonic decay constants, ranging from pions up to bound states; extrapolation to states is explored. We also present a new and improved calculation of Fπ(Q2) and an analysis of the πγγ transition form factor for both π(140) and π(1330). Lattice-QCD results for propagators and the quark-gluon vertex are analysed, and the effects of quark-gluon vertex dressing and the three-gluon coupling upon meson masses are considered.