  A lattice QCD calculation for the four gluon one-particle irreducible Green
function in the Landau gauge is discussed. Results for some of the associated
form factors are reported for kinematical configurations with a single momentum
scale. Our results show that the computation of this Green function requires
large statistical ensembles with 10K or larger number of gauge configurations.
The simulations considered herein have a clear Monte Carlo signal for momenta
up to $\sim 1$ GeV. The form factors show an hierarchy, with the form factor
associated with the tree level Feynman rule being dominant and essentially
constant for the range of momenta accessed. The remaining form factors seem to
increase as the momentum decreases, suggesting that a possible $\log$
divergence may occur. The computed form factors are, at least, in qualitative
agreement with the results obtained with continuum approaches to this vertex,
when available.
