Y. Iwasaki et al., SCALING IN SU(3) PURE GAUGE-THEORY WITH A RENORMALIZATION-GROUP-IMPROVED ACTION, Physical review. D. Particles and fields, 56(1), 1997, pp. 151-160
We study the scaling properties of the static quark potential and the
ratio of the critical temperature T-c to the square root of the string
tension sigma in the SU(3) pure gauge theory using a renormalization-
group-improved action. We first determine the critical coupling beta(c
) on lattices with a temporal extension N-t = 3, 4, and 6; and then ca
lculate the static quark potential at the critical couplings on lattic
es at zero temperature. We note that the static quark potentials obtai
ned are rotationally invariant with errors of at most 1-2 % in all thr
ee cases, and that the potential V(R) in physical units scales in the
whole region of R investigated. The values of T-c/root sigma for the t
hree cases in the infinite volume limit are identical within errors. W
e estimate the value in the continuum limit to be T-c/root sigma = 0.6
56(4), which is slightly larger than the value in the continuum limit
from the one-plaquette action, 0.629(3).