SCALING IN SU(3) PURE GAUGE-THEORY WITH A RENORMALIZATION-GROUP-IMPROVED ACTION

Citation
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
Citations number
20
Categorie Soggetti
Physics, Particles & Fields
ISSN journal
05562821
Volume
56
Issue
1
Year of publication
1997
Pages
151 - 160
Database
ISI
SICI code
0556-2821(1997)56:1<151:SISPGW>2.0.ZU;2-J
Abstract
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).