Hadronic contribution to the muon g-2 from a Dyson-Schwinger perspective

A novel approach towards the hadronic contributions to the anomalous magnetic moment of the muon a{sub {mu}} is presented, namely the Dyson-Schwinger equations of QCD. It has the advantage of being valid for all momentum scales and has the potential to address off-shell amplitudes. We present our first results for the pseudoscalar (PS) meson exchange and the quark loop contributions. The meson exchange ({pi}{sup 0},{eta},{eta}{sup '}), a{sub {mu}}{sup LBL;PS} = (84{+-}13)x10{sup -11}, is commensurate with previous calculations, while the quark loop contribution a{sub {mu}}{sup LBL;quarloop} (107{+-}48)x10{sup -11}, is strongly enhanced by vertex dressing effects in the quark photon vertex. Taken seriously this leads to the estimate of a{sub {mu}} 116 591 865.0(96.6)x10{sup -11}, giving a 1.9 {sigma} deviation between theory and experiment.