A Few Lessons from pQCD Analysis at Low Energies

Motivated by the recent 4-loop analysis of the JLab data on Bjorken Sum Rule, where the pQCD series seems to blow up at |Q|≲1.5GeV, , we overview the general origin of the divergency of common perturbation expansion over powers of a small coupling parameter in QFT and consider in detail the blowing-up phenomenon and accuracy of finite sums for simple alternating and non-alternating examples of divergent series.