CONCLUSIONS

We have evaluated the gluon propagator on three different lattices. The tensor structure has been analysed and shown to agree with the continuum Landau gauge form. By studying the anisotropies in the data, we have been able to conclude that finite volume effects are under control on the largest of our lattices.

A clear turnover in the behaviour of q²D(q²) has been observed at q $\sim$ 1GeV, indicating that the gluon propagator diverges less rapidly than 1/q² in the infrared, and may be infrared finite. An analysis of scaling and the functional behaviour of these results is presented in [8].