Topological visualisation techniques to enhance understanding of lattice QCD simulations

Ensemble results We present results carried out on 12.24 ensembles [5] at zero and ve cooling iterations in Fig. 5. The asymmetry in the Polyakov line distribution at high mu (μ > 0.9), consistent with decon nement, is observed to vanish after just a few cooling sweeps, suggesting that the signal may be due to lattice artefacts that seems to disappear as the data is cooled. This prompted us to question what was happening to objects in the Polyakov eld under cooling; the topological methods mentioned above, in particular the Reeb graph, allow us to examine individual objects. Initially we performed a sweep through the isovalue range, counting the number of distinct objects at each value. The e ect of high values of chemical potential can again be seen in this graph at zero cools but not at ve. We also show a sample of persistence measures that can be applied to objects through the use of topology to estimate the importance of each object within a con guration. Also shown in Fig. 4 is an on-going study into the e ect chemical potential has on Topological Charge Density using an approximation of the Reeb space called the Joint Contour Net [4]. This allows us to understand the topological relationship between multiple time-slices by de ning each as separate eld variables. 10 10 10 10 degree 1