D. V. Shirkov, “Behavior of the Effective QCD Coupling in the Infrared Region”, TMF, 132:3 (2002), 484–496; Theoret. and Math. Phys., 132:3 (2002), 1309

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Teoreticheskaya i Matematicheskaya Fizika, 2002, Volume 132, Number 3, Pages 484–496
DOI: https://doi.org/10.4213/tmf376 (Mi tmf376)

This article is cited in 34 scientific papers (total in 34 papers)

Behavior of the Effective QCD Coupling in the Infrared Region

D. V. Shirkov

Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics

Full-text PDF (263 kB) Citations (34)

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DOI: https://doi.org/10.4213/tmf376

Abstract: The summary of nonperturbative results for the QCD invariant coupling

{\bar{α}}_{s}

$\bar \alpha _s$ obtained by numerical lattice simulations for the path integral and by solution of the approximate Dyson–Schwinger equations reveals a remarkable variety of IR behaviors of

{\bar{α}}_{s} (Q^{2})

$\bar \alpha _s(Q^2)$ even at the qualitative level. In turn, this raises the question of the correspondence between the results obtained by different groups. We analyze this issue in terms of mass-dependent coupling-constant transformations and conclude that the problem of the IR behavior of the effective QCD coupling and of propagators is not well defined and requires a further clarification.

Keywords: quantum chromodynamics, path integral, nonperturbative infrared asymptotic approximations.

Received: 16.05.2001

English version:
Theoretical and Mathematical Physics, 2002, Volume 132, Issue 3, Pages 1309–1319
DOI: https://doi.org/10.1023/A:1020280323189

Bibliographic databases:

Language: Russian

Citation: D. V. Shirkov, “Behavior of the Effective QCD Coupling in the Infrared Region”, TMF, 132:3 (2002), 484–496; Theoret. and Math. Phys., 132:3 (2002), 1309–1319

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf376

https://doi.org/10.4213/tmf376

https://www.mathnet.ru/eng/tmf/v132/i3/p484

This publication is cited in the following 34 articles:

Deur A. Brodsky S.J. de Teramond G.F., “The QCD running coupling”, Prog. Part. Nucl. Phys., 90 (2016), 1–74
Ganbold G., “Quark-Antiquark Bound States and QCD Running Coupling Within Infrared Confinement”, Phys. Part. Nuclei, 45:1 (2014), 10–12
Brambilla N. Eidelman S. Foka P. Gardner S. Kronfeld A.S. Alford M.G. Alkofer R. Butenschoen M. Cohen T.D. Erdmenger J. Fabbietti L. Faber M. Goity J.L. Ketzer B. Lin H.W. Llanes-Estrada F.J. Meyer H.B. Pakhlov P. Pallante E. Polikarpov M.I. Sazdjian H. Schmitt A. Snow W.M. Vairo A. Vogt R. Vuorinen A. Wittig H. Arnold P. Christakoglou P. Di Nezza P. Fodor Z. Garcia i Tormo X. Hoellwieser R. Janik M.A. Kalweit A. Keane D. Kiritsis E. Mischke A. Mizuk R. Odyniec G. Papadodimas K. Pich A. Pittau R. Qiu J.-W. Ricciardi G. Salgado C.A. Schwenzer K. Stefanis N.G. von Hippel G.M. Zakharov V.I., “QCD and Strongly Coupled Gauge Theories: Challenges and Perspectives”, Eur. Phys. J. C, 74:10 (2014), 2981
Ganbold G., “Hadron Spectrum and Infrared-Finite Behavior of QCD Running Coupling”, Phys. Part. Nuclei, 43:1 (2012), 79–105
Proc. Steklov Inst. Math., 272 (2011), 191–200
Ganbold G., “Hadron Spectrum and the Infrared Behavior of QCD Coupling”, 19th International Spin Physics Symposium, Journal of Physics Conference Series, 295, no. 1, 2011
Gurjav Ganbold, “Hadron Spectrum and the Infrared Behavior of QCD Coupling”, J. Phys.: Conf. Ser., 295 (2011), 012041
Pasechnik, RS, “Nucleon spin structure and perturbative QCD frontier on the move”, Physical Review D, 81:1 (2010), 016010
Ganbold G., “QCD running coupling in low-energy region”, Phys Rev D, 81:9 (2010), 094008
Ganbold, G, “Glueballs and mesons: The ground states”, Physical Review D, 79:3 (2009), 034034
Bogolubsky, IL, “Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared”, Physics Letters B, 676:1–3 (2009), 69
Ganbold G., “Two-particle Bound States: Mesons and Glueballs”, 19th International Iupap Conference on Few-Body Problems in Physics, EPJ Web of Conferences, 3, 2009
Pasechnik, RS, “Bjorken sum rule and perturbative QCD frontier on the move”, Physical Review D, 78:7 (2008), 071902
Bogolubsky, IL, “Improved Landau gauge fixing and the suppression of finite-volume effects of the lattice gluon propagator”, Physical Review D, 77:1 (2008), 014504
Shirkov D.V., “Large Regular QCD Coupling At Low Energy?”, Quantum Field Theory and Beyond - Essays in Honor of Wolfhart Zimmermann, 2008, 34–45
Ilgenfritz, EM, “Landau gauge gluon and ghost propagators from lattice QCD”, Brazilian Journal of Physics, 37:1B (2007), 193
Alekseev AI, “Synthetic running coupling of QCD”, Few-Body Systems, 40:1–2 (2006), 57–70
Prosperi, GM, “On the running coupling constant in QCD”, Progress in Particle and Nuclear Physics, 58:2 (2006), 387
Magradze, BA, “A novel series solution to the renormalization-group equation in QCD”, Few-Body Systems, 40:1–2 (2006), 71
Shirkov, D, “Nonpower expansions for QCD observables at low energies”, Nuclear Physics B-Proceedings Supplements, 152 (2006), 51

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

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