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

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.

Automated summary

The study explores the compatibility between theoretically calculated values for αs(Q) and experimentally determined data, by considering q-generalized statistical effects and adding a q-non extensive parameter. The results demonstrate a more appropriate treatment at low energies, even when chemical potential and temperature are taken into account, compared to zero temperature and thermal field theory.