  Lattice Quantum Chromodynamics (QCD) is an approach used by theoretical
physicists to model the strong nuclear force. This works at the sub-nuclear
scale to bind quarks together into hadrons including the proton and neutron.
One of the long term goals in lattice QCD is to produce a phase diagram of QCD
matter as thermodynamic control parameters temperature and baryon chemical
potential are varied. The ability to predict critical points in the phase
diagram, known as phase transitions, is one of the on-going challenges faced by
domain scientists. In this work we consider how multivariate topological
visualisation techniques can be applied to simulation data to help domain
scientists predict the location of phase transitions. In the process it is
intended that applying these techniques to lattice QCD will strengthen the
interpretation of output from multivariate topological algorithms, including
the joint contour net. Lattice QCD presents an interesting opportunity for
using these techniques as it offers a rich array of interacting scalar fields
for analysis; however, it also presents unique challenges due to its reliance
on quantum mechanics to interpret the data.
