  The compatibility of theoretically calculated values for the strong coupling
constant,through the renormalization group approach with experimental data is
studied. There exist considerable divergence in-between theoretical and
experimental results at low energies, which can not be explained by thermal
field theory and considering chemical potential. Such great deviation can be
treated successfully by considering the q-generalized statistical effects
through adding a q-nonextensive parameter in the fitting of theoretical results
on experimental data.
