论文标题

Schwinger模型中拓扑障碍的元动力冲浪

Metadynamics Surfing on Topology Barriers in the Schwinger Model

论文作者

Hoelbling, Christian, Eichhorn, Timo, Rouenhoff, Philip, Varnhorst, Lukas

论文摘要

拓扑结冰是晶格模拟中一个众所周知的问题:随着晶格间距的缩小,拓扑扇区之间的过渡变得越来越不可能,导致对几个可观察到的自相关时间的有问题增加。我们介绍了元动力学作为在Schwinger模型中拓扑结冰的解决方案的研究。具体而言,我们仔细研究了集体变量及其扩展行为,可视化拓扑结冰的影响以及元动力学如何在这方面有所帮助,并探索替代方案以进行更有效的建筑过程。简要讨论了对四维SU(3)理论的可能影响和差异。

Topological freezing is a well known problem in lattice simulations: with shrinking lattice spacing a transition between topological sectors becomes increasingly improbable, leading to a problematic increase of the autocorrelation time regarding several observables. We present our investigation of metadynamics as a solution for topological freezing in the Schwinger model. Specifically, we take a closer look at the collective variable and its scaling behaviour, visualize the effects of topological freezing and how metadynamics helps in that respect and explore alternatives for a more efficient building process. Possible implications for and differences to four-dimensional SU(3) theory are briefly discussed.

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