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

Teoreticheskaya i Matematicheskaya Fizika

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor
	Guidelines for authors
	License agreement
	Submit a manuscript

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

TMF:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 135, Number 1, Pages 95–106
DOI: https://doi.org/10.4213/tmf175 (Mi tmf175)

This article is cited in 43 scientific papers (total in 43 papers)

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

D. S. Kurashev^a, B. A. Magradze^b

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

Full-text PDF (251 kB) Citations (43)

References:

PDF

HTML

DOI: https://doi.org/10.4213/tmf175

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.

Received: 25.01.2002
Revised: 03.07.2002

English version:
Theoretical and Mathematical Physics, 2003, Volume 135, Issue 1, Pages 531–540
DOI: https://doi.org/10.1023/A:1023287519892

Bibliographic databases:

Language: Russian

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

\Bibitem{KurMag03}

\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

\mathnet{http://mi.mathnet.ru/tmf175}

\crossref{https://doi.org/10.4213/tmf175}

\zmath{https://zbmath.org/?q=an:1178.78013}

\transl

\jour Theoret. and Math. Phys.

\yr 2003

\vol 135

\issue 1

\pages 531--540

\crossref{https://doi.org/10.1023/A:1023287519892}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000183054500005}

Linking options:

https://www.mathnet.ru/eng/tmf175

https://doi.org/10.4213/tmf175

https://www.mathnet.ru/eng/tmf/v135/i1/p95

This publication is cited in the following 43 articles:

Ayala C., Cvetic G., Kotikov A.V., Shaikhatdenov B.G., “Bjorken Sum Rule in QCD Frameworks With Analytic (Holomorphic) Coupling”, Int. J. Mod. Phys. A, 33:18-19 (2018), 1850112
Nesterenko A., “Strong Interactions in Spacelike and Timelike Domains: Dispersive Approach”, Strong Interactions in Spacelike and Timelike Domains: Dispersive Approach, Elsevier Science BV, 2017, 1–204
Strong Interactions in Spacelike and Timelike Domains, 2017, 169
Strong Interactions in Spacelike and Timelike Domains, 2017, 183
Deur A. Brodsky S.J. de Teramond G.F., “The QCD running coupling”, Prog. Part. Nucl. Phys., 90 (2016), 1–74
Ayala C., Cvetic G., “anQCD: A Mathematica package for calculations in general analytic QCD models”, Comput. Phys. Commun., 190 (2015), 182–199
Cvetic G., “Evaluations of Low-Energy Physical Quantities in QCD With Ir Freezing of the Coupling”, Few-Body Syst., 55:5-7 (2014), 567–577
Allendes P., Ayala C., Cvetic G., “Gluon Propagator in Fractional Analytic Perturbation Theory”, Phys. Rev. D, 89:5 (2014), 054016
Cvetic G., “Techniques of Evaluation of QCD Low-Energy Physical Quantities With Running Coupling With Infrared Fixed Point”, Phys. Rev. D, 89:3 (2014), 036003
Khandramai V., “On Applications of Mathematica Package “Fapt” in QCD”, 15th International Workshop on Advanced Computing and Analysis Techniques in Physics Research, Journal of Physics Conference Series, 523, IOP Publishing Ltd, 2014, 012062
Bakulev A.P., Khandramai V.L., “Fapt: a Mathematica Package for Calculations in QCD Fractional Analytic Perturbation Theory”, Comput. Phys. Commun., 184:1 (2013), 183–193
Ayala C., Cvetic G., “Calculation of Binding Energies and Masses of Quarkonia in Analytic QCD Models”, Phys. Rev. D, 87:5 (2013), 054008
Cvetic G., Villavicencio C., “Operator Product Expansion with Analytic QCD in Tau Decay Physics”, Phys. Rev. D, 86:11 (2012), 116001
Ayala C., Contreras C., Cvetic G., “Extended Analytic QCD Model with Perturbative QCD Behavior at High Momenta”, Phys. Rev. D, 85:11 (2012), 114043
Cvetic G. Kotikov A.V., “Analogs of Noninteger Powers in General Analytic QCD”, J. Phys. G-Nucl. Part. Phys., 39:6 (2012), 065005
Pasechnik, RS, “Nucleon spin structure and perturbative QCD frontier on the move”, Physical Review D, 81:1 (2010), 016010
Cvetic G., Koegerler R., Valenzuela C., “Reconciling the analytic QCD with the ITEP operator product expansion philosophy”, Phys Rev D, 82:11 (2010), 114004
Bakulev A.P., Mikhailov S.V., Stefanis N.G., “Higher-order QCD perturbation theory in different schemes: from FOPT to CIPT to FAPT”, Journal of High Energy Physics, 2010, no. 6, 085
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
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

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	519
Full-text PDF :	226
References:	90
First page:	1

Что такое QR-код?

Registration to the website

Logotypes