Topological Visualisation techniques for the understanding of Lattice Quantum Chromodynamics (LQCD) simulations

TL;DR

This paper explores how topological visualization techniques like Reeb graphs and contour trees can be applied to complex Lattice Quantum Chromodynamics data to enhance physicists' understanding of the data's structure.

Contribution

It demonstrates the application of topological visualization methods to QCD simulation data, addressing challenges posed by the data's complex structure.

Findings

Topological techniques reveal critical features in QCD data.

Visualization aids physicists in understanding complex quantum structures.

Application of topology improves data segmentation in QCD simulations.

Abstract

The use of topology for visualisation applications has become increasingly popular due to its ability to summarise data at a high level. Criticalities in scalar field data are used by visualisation methods such as the Reeb graph and contour trees to present topological structure in simple graph based formats. These techniques can be used to segment the input field, recognising the boundaries between multiple objects, allowing whole contour meshes to be seeded as separate objects. In this paper we demonstrate the use of topology based techniques when applied to theoretical physics data generated from Quantum Chromodynamics simulations, which due to its structure complicates their use. We also discuss how the output of algorithms involved in topological visualisation can be used by physicists to further their understanding of Quantum Chromodynamics.