2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/213399We define and evaluate on the lattice the amputated 3-gluon vertex function in momentum space. We give numerical results for $16^3 \times 40$ and $24^3 \times 40$ quenched lattices at $β=6.0$. A good numerical signal is obtained, at the price of enforcing the gauge-fixing condition with high accuracy. By comparing results from two different lattice volumes, we try to investigate the crucial issue of finite volume effects. We also outline a method for the lattice evaluation of the QCD running coupling constant as defined from the 3-gluon vertex, while being aware that a realistic calculation will require larger $β$ values and very high statistics.11 pages, PostScript paper + 8 pictures wrapped in a Unix shell archive, Edinburgh U. 94/543High Energy Physics - Latticetext