The centre vortex structure of the $SU(3)$ gauge field vacuum is explored through the use of novel visualisation techniques. The lattice is partitioned into 3D time slices, and vortices are identified by locating plaquettes with non-trivial centre phases. Vortices are illustrated by rendering vortex lines that pierce these non-trivial plaquettes. Non-trivial plaquettes with one dimension in the suppressed time direction are rendered by identifying the visible spatial link. These visualisations highlight the frequent presence of singular points and reveal an important role for branching points in $SU(3)$ gauge theory in creating high topological charge density regimes. Visualisations of the topological charge density are presented, and an investigation into the correlation between vortex structures and topological charge density is conducted. The results provide new insight into the mechanisms by which centre vortices generate non-trivial gauge field topology. This work demonstrates the utility of visualisations in conducting centre vortex studies, presenting new avenues with which to investigate this perspective of the QCD vacuum.

中文翻译：

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中心涡旋结构的可视化

中心涡旋结构 $\mathrm{小号}ü（3）$通过使用新颖的可视化技术探索真空计场真空。将晶格划分为3D时间片，并通过定位具有非平凡中心相位的球拍来确定涡旋。通过绘制刺穿这些非平凡褶皱的涡旋线来说明涡旋。通过识别可见的空间链接，呈现在抑制的时间方向上具有一维的非平凡的拼块。这些可视化效果突出了奇点的频繁出现，并揭示了奇点的重要作用。$\mathrm{小号}ü（3）$规范理论来创建高拓扑电荷密度方案。呈现了可视化的拓扑电荷密度，并对涡旋结构与拓扑电荷密度之间的相关性进行了研究。结果提供了新的见解，通过这些机制，中心涡流产生了非平凡的场场拓扑。这项工作演示了可视化在进行中心涡旋研究中的实用性，为研究QCD真空的这种观点提供了新的途径。