The dispersive approach to QCD, which extends the applicability range of
perturbation theory towards the infrared domain, is applied to the study
of hadronic vacuum polarization function and related quantities. This
approach merges, in a self-consistent way, the intrinsically
nonperturbative constraints, which originate in the kinematic restrictions
on the relevant physical processes, with corresponding perturbative input.
The obtained hadronic vacuum polarization function agrees with pertinent
lattice simulation data. The evaluated hadronic contributions to the muon
anomalous magnetic moment and to the shift of the electromagnetic fine
structure constant conform with recent estimations of these quantities.
The effects due to continuation of the spacelike perturbative results into
the timelike domain are elucidated.
[1] A.V.Nesterenko, "Strong interactions in spacelike and timelike domains:
Dispersive approach". Elsevier, Amsterdam, 222p., 2016
[2] A.V.Nesterenko, Eur. Phys. J. C 77, 844 (2017)
[3] A.V.Nesterenko, J. Phys. G 42, 085004 (2015)