We calculate the vacuum polarization functions on the lattice using the overlap fermion formulation.By matching the lattice data at large momentum scales with the perturbative expansion supplemented by Operator Product Expansion (OPE), we extract the strong coupling constant αs(μ) in two-flavor QCD as ΛMS(2) = 0.234(9)(−0+16) GeV, where the errors are statistical and systematic, respectively. In addition, from the analysis of the difference between the vector and axial-vector channels, we obtain some of the four-quark condensates.
@article{arxiv.0807.0556,
title = {Lattice study of vacuum polarization function and determination of strong coupling constant},
author = {E. Shintani and S. Aoki and T. W. Chiu and S. Hashimoto and T. H. Hsieh and T. Kaneko and H. Matsufuru and J. Noaki and T. Onogi and N. Yamada},
journal= {arXiv preprint arXiv:0807.0556},
year = {2019}
}
Comments
24 pages, 9 figures, enlarged version published in Phys. Rev. D