中文

基于扭转梯度流的 SU(N) Yang-Mills 理论尺度设定

高能物理 - 格点 2025-01-31 v1

摘要

我们 presenting preliminary results for the scale setting of SU(N) Yang-Mills theories using twisted boundary conditions and the gradient-flow scale t0\sqrt{t_0}。 The end goal of this study is to determine the SU(N) Λ\Lambda-parameter through the step-scaling method. The scale t0\sqrt{t_0}, being defined from the flowed action density of the gauge fields, is correlated with their topological charge and thus could be affected by topological freezing. We deal with this problem with the Parallel Tempering on Boundary Conditions algorithm, which we found to be effective for the same numerical setup in a previous work.

关键词

引用

@article{arxiv.2501.18449,
  title  = {Scale setting of $\mathrm{SU}(N)$ Yang-Mills theories via Twisted Gradient Flow},
  author = {Claudio Bonanno and Jorge Luis Dasilva Golán and Massimo D'Elia and Margarita García Pérez and Andrea Giorgieri},
  journal= {arXiv preprint arXiv:2501.18449},
  year   = {2025}
}

备注

9 pages, 3 figures, contribution for the Proceedings of the 41st International Symposium on Lattice Field Theory (Lattice 2024), 28 July-3 August 2024, Liverpool, UK