论文标题

精确的$β$ - 功能在阿贝利安和非阿布莱安$ \ mathcal {n} = 1 $ supersymmetric仪表模型及其与QCD $β$ unction的类比C-Scheme中

Exact $β$-function in Abelian and non-Abelian $\mathcal{N}=1$ supersymmetric gauge models and its analogy with QCD $β$-function in C-scheme

论文作者

Goriachuk, I. O., Kataev, A. L.

论文摘要

For $\mathcal{N}=1$ supersymmetric Yang-Mills theory without matter it is demonstrated that there is a class of renormalization schemes, in which the exact Novikov, Shifman, Vainshtein, and Zakharov (NSVZ) formula for the renormalization group $β$-function, defined in terms of the renormalized coupling constant, is valid.这些方案是通过有限的重新分解构成一般重量级化组转换的单参数的接合亚组的有限重量化的。讨论了$ \ Mathcal {n} = 1 $ supersympermatricric的Yang-Mills理论与C-Scheme中量子染色体动力学的$β$功能之间的类比。

For $\mathcal{N}=1$ supersymmetric Yang-Mills theory without matter it is demonstrated that there is a class of renormalization schemes, in which the exact Novikov, Shifman, Vainshtein, and Zakharov (NSVZ) formula for the renormalization group $β$-function, defined in terms of the renormalized coupling constant, is valid. These schemes are related with each other by finite renormalizations forming a one-parameter commutative subgroup of general renormalization group transformations. The analogy between the exact $β$-function in $\mathcal{N}=1$ supersymmetric Yang-Mills theory without matter and the $β$-function of quantum chromodynamics in the C-scheme is discussed.

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