论文标题
部分可观测时空混沌系统的无模型预测
Smoothing algorithms for projected center-vortex gauge fields
论文作者
论文摘要
我们研究了$ \ mathrm {su}（3）$量规场平滑方法的应用到$ \ mathrm {z}（3）$ - 投影中心 - 涡流量表字段。由于涡流与身份的链接的相称性，这些方法的幼稚应用在范围上是无效的或有限的，其中包含明显不明显的微妙问题。为了克服这些问题，我们介绍了离心机预处理，在平滑之前采用了一种新颖的方法，该方法将链接从中心旋转，同时保留了涡流场的基本结构。此外，制定了涡旋保存的退火平滑的概念，以确保平滑过程保持基础涡流结构。这些新方法在应用于涡流字段的退火平滑的背景下应用，已显示出成功实现更高级操作员研究所需的所需的平滑度条件。
We study the application of $\mathrm{SU}(3)$ gauge field smoothing methods to $\mathrm{Z}(3)$-projected center-vortex gauge fields. Due to the proportionality of the vortex links to the identity, naive applications of these methods are either ineffectual or limited in scope, containing subtle issues which are not obviously manifest. To overcome these issues we introduce centrifuge preconditioning, a novel method applied prior to smoothing that rotates the links away from the center while preserving the fundamental structure of the vortex field. Additionally, the concept of vortex-preserved annealed smoothing is formulated to ensure the smoothing procedure maintains the underlying vortex structure. The application of these new methods in the context of annealed smoothing applied to vortex fields is shown to successfully achieve the desired smoothness condition required for the study of more advanced operators.
