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N=2 超对称杨-米尔斯理论中的四圈β函数、维度约化及γ5的处理

Four-loop beta function in N=2 supersymmetric Yang-Mills theory, dimensional reduction, and treatment of $γ_5$

M. A. Bezuglov, B. A. Kniehl, V. N. Velizhanin

arXiv 2609.40326首次发表:更新:

发表机构

Hamburg University(汉堡大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

采用维度约化方案,图解计算N=2超对称杨-米尔斯理论四圈β函数,验证γ5处理及方案实施细节,为四圈计算提供严格测试。

AI 中文摘要

采用维度约化方案,我们在四圈阶以图解方式计算了N=2超对称杨-米尔斯理论的β函数,该函数已知在一圈之外消失。这为处理D维中有问题的γ5狄拉克矩阵以及实施维度约化方案提供了一个强有力的测试平台。在使用γ5的读取点方法时(该方法因便利而更受青睐),具体的实施细节在四圈阶开始变得重要。因此,我们严格验证了这些实施问题,这些问题此前已被提倡用于标准模型中规范耦合β函数的四圈计算。

英文摘要

Adopting the dimensional-reduction scheme, we diagrammatically compute, at four loops, the beta function of N=2 supersymmetric Yang-Mills theory, which is well known to vanish beyond one loop. This provides a formidable testbed for both the treatment of the problematic $γ_5$ Dirac matrix in D dimensions and the implementation of the dimensional-reduction scheme. In the use of the reading-point method of $γ_5$, being preferable for convenience, specific details of implementation start to matter at four loops. We thus rigorously validate these implementation issues, which have previously been advocated for the calculation of the gauge-coupling beta functions at four loops in the Standard Model.

Comments5 pages, 1 figure

论文原文

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