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arXiv 2303.08618hep-phhep-latnucl-th
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在胶子等离子体中用拓扑数据分析探索普适动力学

Probing universal dynamics with topological data analysis in a gluonic plasma

Daniel Spitz, Kirill Boguslavski, Jürgen Berges

AI总结:

本文利用持续同调方法研究SU(2)格点规范理论中胶子等离子体的非平衡自相似动力学,揭示了能量与拓扑密度关联的普适标度行为,为理解高能重离子碰撞早期阶段及分析超冷量子气体等复杂系统提供了新方法。

摘要:

我们研究闵可夫斯基时空中SU(2)格点规范理论在经典统计区域内的非平衡动力学,该区域的特征胶子占据数远大于1。在这个远离平衡的强关联系统中,能量密度和拓扑密度的关联表现出与向更高动量尺度的湍流级联相关的自相似行为。我们采用持续同调方法,通过单纯复形和方体复形的层级结构来推断胶子等离子体的拓扑特征。所研究的所有拓扑观测量也都是明显规范不变的,并且被证明表现出自相似演化,这种演化以普适标度指数和标度函数的形式将等离子体的空间性质与时间性质联系起来。这些发现可能有助于理解高能极限下重离子碰撞的早期阶段,我们的方法也可以促进对其他复杂系统的拓扑分析,例如在超冷量子气体实验中遇到的系统。

英文摘要:

We study nonequilibrium dynamics of SU(2) lattice gauge theory in Minkowski space-time in a classical-statistical regime, where characteristic gluon occupancies are much larger than unity. In this strongly correlated system far from equilibrium, the correlations of energy and topological densities show self-similar behavior related to a turbulent cascade towards higher momentum scales. We employ persistent homology to infer topological features of the gluonic plasma via a hierarchy of simplicial and cubical complexes. All topological observables under investigation are also manifestly gauge invariant and are shown to exhibit self-similar evolution, which relate the spatial and temporal properties of the plasma in terms of universal scaling exponents and functions. The findings may help to understand the early stages of heavy-ion collisions in the limit of high energies, and our methods can also facilitate the topological analysis of other complex systems such as encountered in experiments with ultracold quantum gases.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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