Computation of the Kugo-Ojima function from lattice simulations

In addition to its connection with a standard confinement criterion, the Kugo-Ojima function constitutes an indispensable component in a multitude of applications in the gauge sector of QCD. In the present work we report on preliminary results of an ongoing large-volume lattice simulation of this special function. In particular, the volume-dependence of the data is studied in detail, and a comparison with results obtained from Schwinger-Dyson equations is carried out.