Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2008-07-03
Phys.Rev.D79:074510,2009
Physics
High Energy Physics
High Energy Physics - Lattice
24 pages, 9 figures, enlarged version published in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.79.074510
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 $\alpha_s(\mu)$ in two-flavor QCD as $\Lambda^{(2)}_{\overline{MS}}$ = $0.234(9)(^{+16}_{- 0})$ 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.
Aoki Sadao
Chiu Ting-Wai
Hashimoto Shigehira
Hsieh Tung-Han
JLQCD for the
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