论文标题
兰道杆的生活
Life at the Landau pole
论文作者
论文摘要
如果量子场理论具有Landau Pole，则该理论通常被称为“病”，并被视为相互作用的UV-Complete理论的候选人。在最新的关于大N相互作用的4D O（N）模型的研究中，显示出在Landau Pole上，可观察物仍然定义明确且有限。在这项工作中，我研究了Landau Pole的上述模型的相关和无关的变形，发现物理可观察物仍然不受影响。显然，该理论中的兰道极是良性的。作为一种现象学应用，我通过识别$λ_{\ overline {\ rm ms}} $与o（n）模型中的landau极点相提并论。
If a quantum field theory has a Landau pole, the theory is usually called 'sick' and dismissed as a candidate for an interacting UV-complete theory. In a recent study on the interacting 4d O(N) model at large N, it was shown that at the Landau pole, observables remain well-defined and finite. In this work, I study both relevant and irrelevant deformations of the said model at the Landau pole, finding that physical observables remain unaffected. Apparently, the Landau pole in this theory is benign. As a phenomenological application, I compare the O(N) model to QCD, by identifying $Λ_{\overline{\rm MS}}$ with the Landau pole in the O(N) model.
