Further Precise Determinations of $\alpha_s$ from Lattice QCD

C.T.H. Davies; G.P. Lepage; J. Shigemitsu; J. Sloan; K. Hornbostel; P. McCallum

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Further Precise Determinations of $\alpha_s$ from Lattice QCD

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arxiv hep-lat/9703010 v1 pith:5FFEGQPQ submitted 1997-03-13 hep-lat

C.T.H. Davies , K. Hornbostel , G.P. Lepage , P. McCallum , J. Shigemitsu , J. Sloan This is my paper · ORCID

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abstract

We present a new determination of the strong coupling constant from lattice QCD simulations. We use four different short-distance quantities to obtain the coupling, three different (infrared) meson splittings to tune the simulation parameters, and a wide range of lattice spacings, quark masses, and lattice volumes to test for systematic errors. Our final result consists of ten different determinations of $\alpha^{(3)}_{P}(8.2 GeV)$, which agree well with each other and with our previous results. The most accurate of these, when evolved perturbatively to the $Z^0$ mass, gives $\alpha^{(5)}_{\msbar}(M_Z) = .1174(24)$. We compare our results with those obtained from other recent lattice simulations.

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