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Precision computation of a low-energy reference scale in quenched lattice QCD
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We present results for the reference scale r_0 in SU(3) Lattice Gauge Theory for beta = 6/g_0^2 in the range 5.7 <= beta <= 6.57. The high relative accuracy of 0.3-0.6% in r_0/a was achieved through good statistics, the application of a multi-hit procedure and a variational approach in the computation of Wilson loops. A precise definition of the force used to extract r_0 has been used throughout the calculation which guarantees that r_0/a is a smooth function of the bare coupling and that subsequent continuum extrapolations are possible. The results are applied to the continuum extrapolations of the energy gap Delta in the static quark potential and the scale L_max/r_0 used in the calculation of the running coupling constant.
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The determination of potential scales in 2+1 flavor QCD
A new lattice QCD determination of the hadronic scales r0 = 0.4729(75) fm and r1 = 0.3127(40) fm in 2+1 flavor QCD, together with r0 Λ_MSbar^(3) = 0.820(28).
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