Static quark-antiquark potential: Scaling behavior and finite-size effects in SU(3) lattice gauge theory
Abstract
We present results on the static qq¯ potential from high-statistics simulations on 164, 243×32, and 324 lattices, using the standard Wilson action at β=6.0, 6.2, and 6.4 on the Connection Machine CM2. To decrease noise and increase accuracy, we applied a suitable local smoothing technique on the spatial parts of Wilson loop operators. As a result, we find a violation of asymptotic scaling of the string tension, as signaled by √σ /ΛL=96.7(1.6)(2.6), 86.4(1.0)(1.9), 82.3(0.8)(1.7), for the three β values, with statistical and systematic errors. We observe a linear confining potential up to distances of 2 fm. A volume of (1.5 fm)3 appears to be sufficient to avoid finite-size effects within our statistical accuracy (~=1%).
- Publication:
-
Physical Review D
- Pub Date:
- September 1992
- DOI:
- 10.1103/PhysRevD.46.2636
- Bibcode:
- 1992PhRvD..46.2636B
- Keywords:
-
- 11.15.Ha;
- 12.38.Aw;
- 12.38.Gc;
- Lattice gauge theory;
- General properties of QCD;
- Lattice QCD calculations