This study is an initial attempt to perform accurate studies of QCD gluon update dynamics on lattices with large spatial lattice spacing and small temporal lattice spacing.
This work is at an early stage of development. We have found clear evidence that the spatial and temporal link variables have different autocorrelation behavior, and that this difference becomes more extreme as the anisotropy is increased. We hope to look for an optimal update scheme for anisotropic simulations. This will be accomplished by exploiting the freedom we have on such lattices to vary pseudo-heatbath and overrelaxation updates on the spatial and temporal links independently. Since the action has explicitly broken Euclidean symmetry, we can expect that an optimal update scheme will involve different update methods for spatial and temporal links. We anticipate the optimal update method will involve overrelaxation of the spatial links (which have been shown here to have the longest autocorrelation times) with heatbath updates of temporal links to ensure the overall update is ergodic.