@article{oai:tsukuba.repo.nii.ac.jp:00020633, author = {青木, 愼也 and Shintani, E. and Aoki, S. and Fukaya, H. and Hashimoto, S. and Kaneko, T. and Onogi, T. and Yamada, N.}, issue = {7}, journal = {Physical review D}, month = {Oct}, note = {We determine the strong coupling constant αs from a lattice calculation of vacuum polarization functions (VPF) in three-flavor QCD with dynamical overlap fermions. Fitting lattice data of VPF to the continuum perturbative formula including the operator product expansion, we extract the QCD scale parameter ΛMS? (3). At the Z boson mass scale, we obtain αs(5)(MZ)=0.1181(3)(+14/-12), where the first error is statistical and the second is our estimate of various systematic uncertainties.}, title = {Strong coupling constant from vacuum polarization functions in three-flavor lattice QCD with dynamical overlap fermions}, volume = {82}, year = {2010} }