Xu Feng, Shoji Hashimoto, Grit Hotzel, Karl Jansen, Marcus Petschlies, Dru B. Renner
We propose a method to compute the hadronic vacuum polarization function on the lattice at continuous values of photon momenta bridging between the space-like and time-like regions. We provide two independent derivations of this method showing that it leads to the desired hadronic vacuum polarization function in Minkowski space-time. We show with the example of the leading- order QCD correction to the muon anomalous magnetic moment that this approach can provide a valuable alternative method for calculations of physical quantities where the hadronic vacuum polarization function enters.
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http://arxiv.org/abs/1305.5878
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