Lattice study of the vacuum polarization function and determination of the strong coupling constant
Journal
Physical Review D - Particles, Fields, Gravitation and Cosmology
Journal Volume
79
Journal Issue
7
Date Issued
2009
Author(s)
Shintani, E.
Aoki, S.
Hashimoto, S.
Hsieh, T.H.
Kaneko, T.
Matsufuru, H.
Noaki, J.
Onogi, T.
Yamada, N.
Abstract
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 the operator product expansion (OPE), we extract the strong coupling constant αs(μ) in two-flavor QCD as ΛMS̄(2)=0.234(9)(+16-0)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. © 2009 The American Physical Society.
Type
journal article