analysing some qcd observable at low energy scale, based on ads/cft correspondence

In the ads/cft correspondence, the space-time metric can be modified by a dilaton background with a positive sign. modifying the metric and action with the dilaton field in the non-abelian sector of quantum field theory, such as quantum chromodynamics (qcd), produces an analytical running coupling constant applicable in the non-perturbative domain of the theory. the computed running coupling constant aligns closely with experimental results at low energy levels. the burkert-ioffe model can additionally modify thisalpha _s^{ads}({q^2}) to more closely align with experimental results at high energy scales. consequently, utilizing the ads/cft correspondence, we analyze specific qcd observables including the bjorken sum rule, electron-positron annihilation into hadrons, and hadronic tau decay at low energy scales, below the qcd cut-off parameter, and we compare the outcomes with experimental data that match them closely.