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Pis'ma v Zh. Èksper. Teoret. Fiz., 2012, Volume 96, Issue 1, Pages 64–67 (Mi jetpl3171)  

This article is cited in 17 scientific papers (total in 17 papers)


Analytical five-loop expressions for the renormalization group QED $\beta$-function in different renormalization schemes

A. L. Kataev, S. A. Larin

Institute for Nuclear Research, Russian Academy of Sciences, Moscow

Abstract: We obtain analytical five-loop results for the renormalization group $\beta$-function of Quantum Electrodynamics with the single lepton in different renormalization schemes. The theoretical consequences of the results obtained are discussed.

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English version:
Journal of Experimental and Theoretical Physics Letters, 2012, 96:1, 61–65

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Document Type: Article
Received: 14.05.2012
Language: English

Citation: A. L. Kataev, S. A. Larin, “Analytical five-loop expressions for the renormalization group QED $\beta$-function in different renormalization schemes”, Pis'ma v Zh. Èksper. Teoret. Fiz., 96:1 (2012), 64–67; JETP Letters, 96:1 (2012), 61–65

Citation in format AMSBIB
\by A.~L.~Kataev, S.~A.~Larin
\paper Analytical five-loop expressions for
the renormalization group QED $\beta$-function in different
renormalization schemes
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2012
\vol 96
\issue 1
\pages 64--67
\jour JETP Letters
\yr 2012
\vol 96
\issue 1
\pages 61--65

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    This publication is cited in the following articles:
    1. Brodsky S.J., Wu X.-G., “Self-Consistency Requirements of the Renormalization Group for Setting the Renormalization Scale”, Phys. Rev. D, 86:5 (2012), 054018  crossref  adsnasa  isi  elib  scopus
    2. Wu X.-G., Brodsky S.J., Mojaza M., “The Renormalization Scale-Setting Problem in QCD”, Prog. Part. Nucl. Phys., 72 (2013), 44–98  crossref  adsnasa  isi  elib  scopus
    3. Shrock R., “Study of Scheme Transformations to Remove Higher-Loop Terms in the Beta Function of a Gauge Theory”, Phys. Rev. D, 88:3 (2013), 036003  crossref  adsnasa  isi  elib  scopus
    4. David A., Passarino G., “How Well Can We Guess Theoretical Uncertainties?”, Phys. Lett. B, 726:1-3 (2013), 266–272  crossref  adsnasa  isi  elib  scopus
    5. A. L. Kataev, K. V. Stepanyantz, “The NSVZ $\beta$-function in supersymmetric theories with different regularizations and renormalization prescriptions”, Theoret. and Math. Phys., 181:3 (2014), 1531–1540  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    6. Shrock R., “Study of Possible Ultraviolet Zero of the Beta Function in Gauge Theories With Many Fermions”, Phys. Rev. D, 89:4 (2014), 045019  crossref  mathscinet  adsnasa  isi  elib  scopus
    7. Jora R., “a Nonperturbative Method For the Scalar Field Theory”, Phys. Lett. B, 741 (2015), 223–231  crossref  zmath  isi  elib  scopus
    8. Kataev A.L., Molokoedov V.S., “Fourth-Order QCD Renormalization Group Quantities in the V Scheme and the Relation of the Beta Function To the Gell-Mann-Low Function in Qed”, Phys. Rev. D, 92:5 (2015), 054008  crossref  adsnasa  isi  elib  scopus
    9. Jora R., “a Nonperturbative Method For the Yang Mills Lagrangian”, Int. J. Mod. Phys. A, 30:13 (2015), 1550070  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    10. Jora R., Schechter J., “a Semi Perturbative Method For Qed”, Rom. J. Phys., 60:7-8 (2015), 1040–1051  isi  elib
    11. Herbut I.F., “Chiral symmetry breaking in three-dimensional quantum electrodynamics as fixed point annihilation”, Phys. Rev. D, 94:2 (2016), 025036  crossref  mathscinet  isi  elib  scopus
    12. Zerf N., Lin Ch.-H., Maciejko J., “Superconducting quantum criticality of topological surface states at three loops”, Phys. Rev. B, 94:20 (2016), 205106  crossref  isi  elib  scopus
    13. Jora R., “a Nonperturbative Method For QCD”, Rom. J. Phys., 61:5-6 (2016), 755–767  isi  elib
    14. Janot P., “Direct measurement of $\alpha_{\mathrm{QED}}(m_{Z^2})$ at the FCC-ee”, J. High Energy Phys., 2016, no. 2, 053  crossref  isi  scopus
    15. Jora R., “$\Phi^4$ Theory Is Trivial”, Rom. J. Phys., 61:3-4 (2016), 314–319  isi
    16. F. Herzog, B. Ruijl, T. Ueda, J. A. M. Vermaseren, A. Vogt, “The five-loop beta function of Yang-Mills theory with fermions”, J. High Energy Phys., 2017, no. 2, 090  crossref  mathscinet  isi  scopus
    17. F. Jegerlehner, “Quantum Field Theory and Quantum Electrodynamics”: F. Jegerlehner, Anomalous Magnetic Moment of the Muon, 2Nd Edition, Springer Tracts in Modern Physics, 274, Springer-Verlag Berlin, 2017, 23–161  crossref  isi  scopus
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