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High Energy Physics - Lattice

arXiv:2501.16043 (hep-lat)
[Submitted on 27 Jan 2025 ]

Title: Smoothing properties of the Wilson flow and the topological charge

Title: 威尔逊流的平滑性质和拓扑电荷

Authors:Michele Della Morte, Benjamin Jäger, Sofie Martins, J. Tobias Tsang
Abstract: We study SU$(N_C)$ gauge theories with a single fermion in the two-index antisymmetric representation to predict the mesonic spectrum of supersymmetric $\mathcal{N}=1$ SYM theories. Using gradient flow methods, we investigate fractional topological charges in $N_C = 4$ ensembles with varying lattice spacings. We show that the use of overimproved gauge actions (specifically the DBW2 action) in the smearing kernel stabilises the values of the topological charge already at moderate values of the flow time, while this is not the case for the standard Wilson flow.
Abstract: 我们研究具有一个在二阶反对称表示中的费米子的SU$(N_C)$规范理论,以预测超对称$\mathcal{N}=1$SYM 理论的介子谱。 使用梯度流方法,我们研究了具有不同格点间距的$N_C = 4$套件中的分数拓扑电荷。 我们表明,在平滑核中使用过改进的规范作用量(特别是DBW2作用量)在中等流时间值时就稳定了拓扑电荷的值,而标准威尔逊流则不是这样。
Comments: 9 pages, 2 tables, 4 figures, Contribution to The 41st International Symposium on Lattice Field Theory (LATTICE2024), 28 July - 3 August 2024, Liverpool, UK
Subjects: High Energy Physics - Lattice (hep-lat)
Cite as: arXiv:2501.16043 [hep-lat]
  (or arXiv:2501.16043v1 [hep-lat] for this version)
  https://doi.org/10.48550/arXiv.2501.16043
arXiv-issued DOI via DataCite

Submission history

From: Benjamin Jäger [view email]
[v1] Mon, 27 Jan 2025 13:36:49 UTC (2,179 KB)
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