Abstract
We define and evaluate on the lattice the amputated three-gluon vertex function in momentum space. We give numerical results for ${16}^{3}$\ifmmode\times\else\texttimes\fi{}40 and ${24}^{3}$\ifmmode\times\else\texttimes\fi{}40 quenched lattices at \ensuremath{\beta}=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 as defined from the three-gluon vertex, while being aware that a realistic calculation will require larger \ensuremath{\beta} values and very high statistics.
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