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TMF, 2012, Volume 170, Number 2, Pages 174–187 (Mi tmf6757)  

This article is cited in 25 scientific papers (total in 25 papers)

New perturbation theory representation of the conformal symmetry breaking effects in gauge quantum field theory models

A. L. Kataeva, S. V. Mikhailovb

a Institute for Nuclear Research, RAS, Moscow, Russia
b Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia

Abstract: We propose a hypothesis on the detailed structure for the representation of the conformal symmetry breaking term in the basic Crewther relation generalized in the perturbation theory framework in QCD renormalized in the $\overline{MS}$ scheme. We establish the validity of this representation in the $\overline{MS}$ approximation. Using the variant of the generalized Crewther relation formulated here allows finding relations between specific contributions to the QCD perturbation series coefficients for the flavor nonsinglet part of the Adler function $D^{ns}_{A}$ for the electron–positron annihilation in hadrons and to the perturbation series coefficients for the Bjorken sum rule $S_{Bjp}$ for the polarized deep-inelastic lepton–nucleon scattering. We find new relations between the $\alpha_{s}^4$ coefficients of $D^{ns}_{A}$. Satisfaction of one of them serves as an additional theoretical verification of the recent computer analytic calculations of the terms of order $\alpha_{s}^4$ in the expressions for these two quantities.

Keywords: quantum field theory, conformal symmetry breaking, perturbation theory, renormalization group, relation between characteristics of inclusive processes


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English version:
Theoretical and Mathematical Physics, 2012, 170:2, 139–150

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Received: 12.02.2012

Citation: A. L. Kataev, S. V. Mikhailov, “New perturbation theory representation of the conformal symmetry breaking effects in gauge quantum field theory models”, TMF, 170:2 (2012), 174–187; Theoret. and Math. Phys., 170:2 (2012), 139–150

Citation in format AMSBIB
\by A.~L.~Kataev, S.~V.~Mikhailov
\paper New perturbation theory representation of the~conformal symmetry breaking effects in gauge quantum field theory models
\jour TMF
\yr 2012
\vol 170
\issue 2
\pages 174--187
\jour Theoret. and Math. Phys.
\yr 2012
\vol 170
\issue 2
\pages 139--150

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    This publication is cited in the following articles:
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    2. S. J. Brodsky, X.-G. Wu, “Scale setting using the extended renormalization group and the principle of maximum conformality: the QCD coupling constant at four loops”, Phys. Rev. D, 85:3 (2012), 034038, 8 pp.  crossref  adsnasa  isi  elib  scopus
    3. S. J. Brodsky, L. Di Giustino, “Setting the renormalization scale in QCD: the principle of maximum conformality”, Phys. Rev. D, 86:8 (2012), 085026, 11 pp.  crossref  adsnasa  isi  elib  scopus
    4. S. J. Brodsky, X.-G. Wu, “Self-consistency requirements of the renormalization group for setting the renormalization scale”, Phys. Rev. D, 86:5 (2012), 054018, 14 pp.  crossref  adsnasa  isi  elib  scopus
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    12. A. L. Kataev, “Conformal symmetry limit of QED and QCD and identities between perturbative contributions to deep-inelastic scattering sum rules”, J. High Energy Phys., 2014, no. 2, 092  crossref  isi  elib  scopus
    13. S. J. Brodsky, M. Mojaza, X.-G. Wu, “Systematic scale-setting to all orders: the principle of maximum conformality and commensurate scale relations”, Phys. Rev. D, 89:1 (2014), 014027  crossref  adsnasa  isi  elib  scopus
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    17. V. T. Kim, “Search for BFKL-evolution manifestations at high energies”, 9th Joint International Hadron Structure 15 Conference, International Journal of Modern Physics-Conference Series, 39, eds. S. Dubnicka, A. Dubnickova, E. Bartos, World Scientific Publ Co Pte Ltd, 2015  crossref  isi
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    20. A. Deur, S. J. Brodsky, G. F. de Teramond, “The QCD running coupling”, Prog. Part. Nucl. Phys., 90 (2016), 1–74  crossref  mathscinet  isi  elib  scopus
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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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