Yang-Mills系统谱action的重整化
Renormalization of the spectral action for the Yang-Mills system
摘要：
我们建立了平坦四维背景流形上Yang-Mills系统全谱作用量的重整化。把谱作用量解释为高阶导数的规范理论，我们发现，就重整化而言，它表现得出乎意料的好。也就是说，功率计数论证意味着谱作用量是超可重整化的。从单圈有效作用量的BRST不变性出发，我们得出结论，它实际上是一个规范理论的可重正化。
英文摘要：
We establish renormalizability of the full spectral action for the Yang-Mills system on a flat 4-dimensional background manifold. Interpreting the spectral action as a higher-derivative gauge theory, we find that it behaves unexpectedly well as far as renormalization is concerned. Namely, a power counting argument implies that the spectral action is superrenormalizable. From BRST-invariance of the one-loop effective action, we conclude that it is actually renormalizable as a gauge theory.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
