The continued development of models that propose the existence of fractional topological objects in the Yang-Mills vacuum has called for a quantitative method to study the topological structure of $\mathrm{SU}(N)$ gauge theory. We present an original numerical algorithm that can identify distinct topological objects in the nontrivial ground-state fields and approximate the net charge contained within them. This analysis is performed for SU(3) color at a range of temperatures crossing the deconfinement phase transition, allowing for an assessment of how the topological structure evolves with temperature. We find a promising consistency with the instanton-dyon model for the structure of the QCD vacuum at finite temperature. Several other quantities, such as object density and radial size, are also analyzed to elicit a further understanding of the fundamental structure of ground-state gluon fields.

中文翻译：

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SU(3) 规范理论中分数拓扑对象的数值证据

提出杨-米尔斯真空中分数拓扑物体存在性的模型的不断发展，需要一种定量方法来研究分数拓扑物体的拓扑结构。$苏（氮）$规范理论。我们提出了一种原始的数值算法，可以识别非平凡基态场中的不同拓扑对象并近似其中包含的净电荷。该分析是在跨越解禁相变的温度范围内对 SU(3) 颜色进行的，从而可以评估拓扑结构如何随温度演变。我们发现有限温度下 QCD 真空结构与瞬子-动力模型具有良好的一致性。还分析了其他几个量，例如物体密度和径向尺寸，以进一步了解基态胶子场的基本结构。