Lattice study of the vacuum polarization function and determination of the strong coupling constant

2008/07/31 by Eigo Shintani, E. Shintani, S. Aoki +12
Physics and Astronomy · #Coupling constant #Fermion #High-Energy Particle Collisions Research #Lambda #Lattice (music) #Lattice QCD #Lattice constant #Lattice field theory #Mathematical physics #Operator product expansion #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Quark #Vacuum polarization #hep-lat #hep-ph

paper · pdf · doi:10.1103/physrevd.79.074510

published as Phys.Rev.D79:074510,2009 · 24 pages, 9 figures, enlarged version published in Phys. Rev. D

openalex publication_date 2009/04/30 · arxiv created 2009/05/07 · arxiv updated 2019/08/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 \ensuremathα_s(\ensuremathμ) in two-flavor QCD as \ensuremathΛ_MS⁽²⁾=0.234(9)(\genfrac0+16\ensuremath-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.

Citations

• Review of Particle Physics
• SParameter and Pseudo Nambu-Goldstone Boson Mass from Lattice QCD
• Vacuum polarization and hadronic contribution to muon g−2 from lattice QCD
• Axial vector current of exact chiral symmetry on the lattice
• Two-flavor QCD simulation with exact chiral symmetry
• Two-flavor lattice QCD in theϵregime and chiral random matrix theory
• Two-Flavor Lattice-QCD Simulation in theϵRegime with Exact Chiral Symmetry
• QCD condensates for the light quarkV−Acorrelator
• High-precision charm-quark mass and QCD coupling from current-current correlators in lattice and continuum QCD
• Lattice Calculation of the Lowest-Order Hadronic Contribution to the Muon Anomalous Magnetic Moment