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TMF, 2003, Volume 135, Number 1, Pages 95–106 (Mi tmf175)  

This article is cited in 40 scientific papers (total in 40 papers)

Explicit Expressions for Timelike and Spacelike Observables of Quantum Chromodynamics in Analytic Perturbation Theory

D. S. Kurasheva, B. A. Magradzeb

a M. V. Lomonosov Moscow State University
b A. Razmadze Mathematical Institute, Georgian Academy of Sciences

Abstract: We study the possibility of expressing the invariant QCD coupling function (i.e., the effective coupling constant) in an explicit analytic form in two- and three-loop approximations as well as in the case of the Padé-transformed $\beta$-function. Both the timelike and spacelike domains are investigated. Technical aspects of the Shirkov–Solovtsov analytic perturbation theory are considered. Explicit expressions for the two- and three-loop effective coupling functions in the timelike domain are obtained. In the last case, we apply a new method of expanding functions represented in an arbitrary loop order of perturbation theory in powers of the two-loop function. The comparison with numerical data in the infrared region shows that the obtained explicit expressions for the three-loop functions agree fully with the exact numerical results.

Keywords: quantum chromodynamics, perturbation theory, renormalization group equation, running coupling constant, renormalization schemes


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English version:
Theoretical and Mathematical Physics, 2003, 135:1, 531–540

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Received: 25.01.2002
Revised: 03.07.2002

Citation: D. S. Kurashev, B. A. Magradze, “Explicit Expressions for Timelike and Spacelike Observables of Quantum Chromodynamics in Analytic Perturbation Theory”, TMF, 135:1 (2003), 95–106; Theoret. and Math. Phys., 135:1 (2003), 531–540

Citation in format AMSBIB
\by D.~S.~Kurashev, B.~A.~Magradze
\paper Explicit Expressions for Timelike and Spacelike Observables of Quantum Chromodynamics in Analytic Perturbation Theory
\jour TMF
\yr 2003
\vol 135
\issue 1
\pages 95--106
\jour Theoret. and Math. Phys.
\yr 2003
\vol 135
\issue 1
\pages 531--540

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    4. Bakulev AP, Mikhailov SV, Stefanis NG, “QCD analytic perturbation theory: From integer powers to any power of the running coupling”, Physical Review D, 72:7 (2005), 074014  crossref  adsnasa  isi  scopus  scopus
    5. Bakulev AP, Karanikas AI, Stefanis NG, “Analyticity properties of three-point functions in QCD beyond leading order”, Physical Review D, 72:7 (2005), 074015  crossref  adsnasa  isi  scopus  scopus
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    26. Magradze B.A., “Testing the Concept of Quark-Hadron Duality with the ALEPH tau Decay Data”, Few Body Systems, 48:2–4 (2010), 143–169  crossref  adsnasa  isi  elib  scopus  scopus
    27. Contreras C., Cvetic G., Espinosa O., Martinez H.E., “Simple analytic QCD model with perturbative QCD behavior at high momenta”, Phys Rev D, 82:7 (2010), 074005  crossref  adsnasa  isi  elib  scopus  scopus
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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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