Misc,
Precision computation of a low-energy reference scale in quenched lattice QCD
(Jun 19, 1998)
Abstract
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.
