Výsledky vyhledávání - "Goriachuk, I. O."

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The ${\rm{\bar{MS}}}$-scheme $\alpha_s^5$ QCD contributions to the Adler function and Bjorken polarized sum rule in the Crewther-type two-fold $\{\beta\}$-expanded representation

Autor: Goriachuk, I. O., Kataev, A. L., Molokoedov, V. S.

We consider the two-fold expansion in powers of the conformal anomaly and of the strong coupling $\alpha_s$ for the non-singlet contributions to Adler $D$-function and Bjorken polarized sum rule calculated previously in the $\MSbar$-scheme at the fou

Externí odkaz: http://arxiv.org/abs/2111.12060

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Riemann $\zeta(4)$ function contributions to $O\left({\alpha_s}^5\right)$ terms of Adler D-function and Bjorken polarized sum rule in $SU\left(N_c\right)$ QCD: results and consequences

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

Two renormalization group invariant quantities in quantum chromodinamics (QCD), defined in Euclidean space,namely, Adler D-function of electron-positron annihilation to hadrons and Bjorken polarized deep-inelastic scattering sum rule, are considered.

Externí odkaz: http://arxiv.org/abs/2011.14746

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

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

Publikováno v: Version in Russian: Pisma Zh.Eksp.Teor.Fiz. v.111, N12, pp.789-793 (2020)

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

Externí odkaz: http://arxiv.org/abs/2005.03445

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Subgroup Of Finite Renormalizations, Conserving The NSVZ Relation In $\mathcal{N} = 1$ SQED

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

In supersymmetric quantum electrodynamics there is the exact relation between the expressed through the unrenormalized coupling gauge beta-function and the anomalous dimension of matter superfields. In the present report we describe the subgroup of g

Externí odkaz: http://arxiv.org/abs/1912.11700

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A class of the NSVZ renormalization schemes for ${\cal N}=1$ SQED

Autor: Goriachuk, I. O., Kataev, A. L., Stepanyantz, K. V.

For the ${\cal N}=1$ supersymmetric electrodynamics we investigate renormalization schemes in which the NSVZ equation relating the $\beta$-function to the anomalous dimension of the matter superfields is valid in all loops. We demonstrate that there

Externí odkaz: http://arxiv.org/abs/1808.02050

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The NSVZ scheme for ${\cal N}=1$ SQED with $N_f$ flavors, regularized by the dimensional reduction, in the three-loop approximation

Autor: Aleshin, S. S., Goriachuk, I. O., Kataev, A. L., Stepanyantz, K. V.

At the three-loop level we analyze, how the NSVZ relation appears for ${\cal N}=1$ SQED regularized by the dimensional reduction. This is done by the method analogous to the one which was earlier used for the theories regularized by higher derivative

Externí odkaz: http://arxiv.org/abs/1610.08034

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Akademický článek

Exact β-Function in Abelian and non-Abelian N=1 Supersymmetric Gauge Models and Its Analogy with the QCD β-Function in the C-scheme.

Autor: Goriachuk, I. O.¹ (AUTHOR) io.gorjachuk@physics.msu.ru, Kataev, A. L.^2,3 (AUTHOR) kataev@ms2.inr.ac.ru

Publikováno v: JETP Letters. Jun2020, Vol. 111 Issue 12, p663-667. 5p.

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The $$ \overline{\mathrm{MS}} $$-scheme $$ {\alpha}_s^5 $$ QCD contributions to the Adler function and Bjorken polarized sum rule in the Crewther-type two-fold {β}-expanded representation

Autor: Goriachuk, I. O., Kataev, A. L., Molokoedov, V. S.

Publikováno v: Journal of High Energy Physics. 2022

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::14fa9445a9e261146748845c589ca529
https://doi.org/10.1007/jhep05(2022)028

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