论文标题
Yang-Mills理论的中心涡流的可误差范围
Renormalizability of the center-vortex free sector of Yang-Mills theory
论文作者
论文摘要
在这项工作中,我们分析了一项最新提案,以检测$(n)$ Continuum Yang-Mills扇区,该领域由中心涡流标记,灵感来自laplacian型中心仪表的启发。最初,在引入适当的外部资源之后,我们获得了一系列依赖部门的病房身份,可用于控制差异的形式。接下来,我们能够显示中心涡流扇形的全阶乘法重量化性。这些是建立第一原则,定义明确的Yang-Mills合奏的重要步骤。
In this work, we analyzed a recent proposal to detect $SU(N)$ continuum Yang-Mills sectors labeled by center vortices, inspired by Laplacian-type center gauges in the lattice. Initially, after the introduction of appropriate external sources, we obtained a rich set of sector-dependent Ward identities, which can be used to control the form of the divergences. Next, we were able to show the all-order multiplicative renormalizability of the center-vortex free sector. These are important steps towards the establishment of a first principles, well-defined, and calculable Yang-Mills ensemble.