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TMF, 2005, Volume 145, Number 2, Pages 221–239 (Mi tmf1898)  

This article is cited in 8 scientific papers (total in 8 papers)

Analytic Invariant Charge in QCD with Suppression of Nonperturbative Contributions at Large $Q^2$

A. I. Alekseev

Institute for High Energy Physics

Abstract: Based on the analytic invariant charge obtained from the results of the standard perturbation theory up to the four-loop approximation, we construct a “synthetic” model of the invariant charge in quantum chromodynamics. In the suggested model, the perturbative discontinuity on the timelike semiaxis in the complex $Q^2$ plane is preserved, and nonperturbative contributions not only cancel nonphysical perturbation theory singularities in the infrared region but also rapidly decrease in the ultraviolet region. On one hand, the effective coupling function in this model is enhanced at zero (the dual superconductivity property of the quantum chromodynamics vacuum); on the other hand, a dynamical gluon mass appears. In our approach, fixing the parameter corresponding to the string tension parameter and normalizing (for example, at the point $M_\tau$) entirely fix the synthetic invariant-charge model. The dynamical gluon mass $m_{\mathrm{g}}$ is then fixed and is stable as the number of loops of the original perturbative approximation increases.

Keywords: analytic approach, infrared region of quantum chromodynamics, running coupling constant, nonperturbative contributions

DOI: https://doi.org/10.4213/tmf1898

Full text: PDF file (331 kB)
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English version:
Theoretical and Mathematical Physics, 2005, 145:2, 1559–1575

Bibliographic databases:

Received: 21.03.2005
Revised: 27.04.2005

Citation: A. I. Alekseev, “Analytic Invariant Charge in QCD with Suppression of Nonperturbative Contributions at Large $Q^2$”, TMF, 145:2 (2005), 221–239; Theoret. and Math. Phys., 145:2 (2005), 1559–1575

Citation in format AMSBIB
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\transl
\jour Theoret. and Math. Phys.
\yr 2005
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\pages 1559--1575
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Alekseev AI, “Synthetic running coupling of QCD”, Few-Body Systems, 40:1–2 (2006), 57–70  crossref  zmath  adsnasa  isi  scopus  scopus
    2. Prosperi GM, Raciti M, Simolo C, “On the running coupling constant in QCD”, Progress in Particle and Nuclear Physics, 58:2 (2006), 387–438  crossref  adsnasa  isi  scopus  scopus
    3. Cvetic G, Valenzuela C, “Various versions of analytic QCD and skeleton-motivated evaluation of observables”, Physical Review D, 74:11 (2006), 114030  crossref  adsnasa  isi  elib  scopus  scopus
    4. D. V. Shirkov, I. L. Solovtsov, “Ten years of the analytic perturbation theory in QCD”, Theoret. and Math. Phys., 150:1 (2007), 132–152  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    5. Cvetic G, Valenzuela C, “Exponentially modified QCD coupling”, Physical Review D, 77:7 (2008), 074021  crossref  mathscinet  adsnasa  isi  elib  scopus  scopus
    6. Deur A. Brodsky S.J. de Teramond G.F., “The QCD running coupling”, Prog. Part. Nucl. Phys., 90 (2016), 1–74  crossref  mathscinet  isi  elib  scopus
    7. Ayala C., Cvetic G., Koegerler R., “Lattice-Motivated Holomorphic Nearly Perturbative QCD”, J. Phys. G-Nucl. Part. Phys., 44:7 (2017), 075001  crossref  isi  scopus  scopus
    8. Ayala C., Cvetic G., Koegerler R., Kondrashuk I., “Nearly Perturbative Lattice-Motivated QCD Coupling With Zero Ir Limit”, J. Phys. G-Nucl. Part. Phys., 45:3 (2018), 035001  crossref  isi  scopus  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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