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 β = {6}/{g 02} in the range 5.7 ⩽ β ⩽ 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 Δ in the static quark potential and the scale Lmax/ r0 used in the calculation of the running coupling constant.
- Publication:
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Nuclear Physics B
- Pub Date:
- December 1998
- DOI:
- 10.1016/S0550-3213(98)00599-9
- arXiv:
- arXiv:hep-lat/9806005
- Bibcode:
- 1998NuPhB.535..389G
- Keywords:
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- High Energy Physics - Lattice
- E-Print:
- A single uuencoded-gzipped-tar file: 15 pages, 5 figures small change at the end of the introduction