I. O. Goriachuk, A. L. Kataev, “Exact $\beta$-function in Abelian and non-Abelian $\mathcal{N} = 1$ supersymmetric gauge models and its analogy with the QCD $\beta$-function in the $\mathrm{C}$-scheme”, Pis'ma v Zh. Èksper. Teoret. Fiz., 2020, Volume 111, Issue 12,Pages 789

This article is cited in 17 papers

FIELDS, PARTICLES, AND NUCLEI

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

I. O. Goriachuk^a, A. L. Kataev^bc

^a Department of Theoretical Physics, Faculty of Physics, Moscow State University, Moscow, 119991 Russia
^b Institute for Nuclear Research, Russian Academy of Science, Moscow, 117312 Russia
^c Moscow Institute of Physics and Technology (National Research University), Dolgoprudnyi, Moscow region, 141700 Russia

Abstract: 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 $\beta$-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 $\beta$-function in $\mathcal{N} = 1$ supersymmetric Yang–Mills theory without matter and the $\beta$-function of quantum chromodynamics in the $\mathrm{C}$-scheme is discussed.

Received: 19.04.2020
Revised: 15.05.2020
Accepted: 15.05.2020

DOI: 10.31857/S1234567820120125