  We revisit the cellular dynamical mean-field theory (CDMFT) for the single
band Hubbard model on the square lattice at half filling, reaching real-space
cluster sizes of up to 9 x 9 sites. Using benchmarks against direct lattice
diagrammatic Monte Carlo at high temperature, we show that the self-energy
obtained from a cluster center focused extrapolation converges faster with the
cluster size than the periodization schemes previously introduced in the
literature. The same benchmark also shows that the cluster spin susceptibility
can be extrapolated to the exact result at large cluster size, even though its
spatial extension is larger than the cluster size.
