Soft gluon fields and anomalous magnetic moment of muon

Abstract

An impact of nonperturbatively treated soft gluon modes on the value of anomalous magnetic moment of muon a μ is studied within the mean-field approach to QCD vacuum and hadronization. It is shown that radial excitations of vector mesons strongly enhance contribution of hadronic vacuum polarization to a μ , doubling the contribution of one-meson processes compared to the result for ground state mesons. The mean field also strongly influences the hadronic light-by-light scattering contribution due to the Wilson line in quark propagators.