Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1996-08-16
Nucl.Phys.Proc.Suppl.53:429-431,1997
Physics
High Energy Physics
High Energy Physics - Lattice
3 pages of Latex, 5 PostScript figures, Talk presented at LATTICE96(finite temperature)
Scientific paper
10.1016/S0920-5632(96)00679-2
We study the scaling property of 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 temporal extension $N_t=4$ and 6, and then calculate the static quark potential at the critical couplings on lattices at zero temperature. The values of $T_{c}/\sqrt{\sigma}$ in the infinite volume limit are identical within errors, while they are slightly larger than the value extrapolated to the continuum limit with the standard action. We also note that the rotational invariance of the static quark potential is remarkably restored in the both cases, and that the potential $V(R)$ in physical units scales in the whole region of $R$ investigated.
Iwasaki Yoshihito
Kanaya Kazuyuki
Kaneko Tak
Yoshi'e T.
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