Precision computation of a low-energy reference scale in quenched lattice QCD
Abstract
We present results for the reference scale r0 in SU(3) Lattice Gauge Theory for beta = 6/g02 in the range 5.7 <= beta <= 6.57. The high relative accuracy of 0.3-0.6% in r0/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 r0 has been used throughout the calculation which guarantees that r0/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 Lmax/r0 used in the calculation of the running coupling constant.
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