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The QCD coupling appears in the perturbative expansion of the current-currenttwo-point (vacuum polarization) function. Any lattice calculation of vacuumpolarization is plagued by several competing non-perturbative effects at smallmomenta and by discretization errors at large momenta. We work in anintermediate region, computing the vacuum polarization for many off-axismomentum directions on the lattice. Having many momentum directions provides away to monitor and account for lattice artifacts. Our results are competitivewith, and have certain systematic advantages over, the alternatephenomenological determination of the strong coupling from the same light quarkvacuum polarization produced by sum rule analyses of hadronic tau decay data.

Determining the QCD coupling from lattice vacuum polarization