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The QCD strong coupling constant at low energies: a non-extensive treatment

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Abstract

The compatibility of theoretically calculated values for \(\alpha _s(Q)\), through the renormalization group approach with experimentally determined data is studied. We consider the q-generalized statistical effects through adding a q-non extensive parameter in the fitting of theoretical results on experimental data of the strong coupling constant. Our results at low energies show more appropriate treatment in comparison with those of zero temperature and thermal field theory even by considering the chemical potential and temperature.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The needed data can be found in the text and references of this paper.]

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Authors and Affiliations

  1. Faculty of Physics, Shahid Bahonar University of Kerman, Kerman, Iran

    H. Nematollahi & M. M. Yazdanpanah

  2. Mahani Mathematical Research Center, Shahid Bahonar University of Kerman, Kerman, Iran

    H. Nematollahi

  3. Department of Physics, Ferdowsi University of Mashhad, Mashhad, 91775-1436, Iran

    K. Javidan

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  1. H. Nematollahi
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Communicated by Tamas Biro.

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Nematollahi, H., Javidan, K. & Yazdanpanah, M.M. The QCD strong coupling constant at low energies: a non-extensive treatment. Eur. Phys. J. A 57, 78 (2021). https://doi.org/10.1140/epja/s10050-021-00391-1

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