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20192026
most citedThree-loop contribution of the Faddeev-Popov ghosts to the -function of supersymmetric gauge theories and the NSVZ relation

21 citations · 23 across the 7 of their papers we have counts for

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hep-th2025

The renormalization group invariants and exact results for various supersymmetric theories

Konstantin Stepanyantz

Some recent all-loop results on the renormalization of supersymmetric theories are summarized and reviewed. In particular, we discuss how it is possible to construct expressions wh…

hep-th2025

Structure of renormalization constants for theories with multiple couplings in the MS-like subtraction schemes

Gleb Kovyrshin, Nikolai Meshcheriakov, Victoria Shatalova +1

For theories with multiple couplings we construct simple expressions for the four-dimensional (or, in general, integer-dimensional) renormalization constants assuming that all dive…

hep-th20251 cited

Exact expressions for the renormalization constants in the MS-like schemes

Konstantin Stepanyantz

We briefly review how it is possible to derive some exact expressions for the renormalization constants for the MS-like renormalization prescriptions using the arguments based on t…

hep-th2024

Exact relations between running of and in SQCD+SQED

A. L. Kataev, K. V. Stepanyantz

In supersymmetric QCD-like theories we derive the (all-order) exact equations relating the renormalization group behaviour of the strong and electromagnetic couplings…

hep-th2024

Algebraic structure of the renormalization group in the renormalizable QFT theories

Andrei Kataev, Konstantin Stepanyantz

We consider the group formed by finite renormalizations as an infinite-dimensional Lie group. It is demonstrated that for the finite renormalization of the gauge coupling constant…

hep-th20231 cited

Higher logarithms and -poles for the MS-like renormalization prescriptions

Nikolai Meshcheriakov, Victoria Shatalova, Konstantin Stepanyantz

We consider a version of dimensional regularization (reduction) in which the dimensionful regularization parameter is in general different from the renormalization scale . T…