Scaling in SU(3) pure gauge theory with a renormalization-group-improved action

Journal Article · Tue Jul 01 04:00:00 EDT 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.56.151· OSTI ID:531954

Iwasaki, Y; Kanaya, K; Kaneko, T; Yoshie, T ^[1]; Iwasaki, Y; Kanaya, K; Yoshie, T ^[2]

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1. Institute of Physics, University of Tsukuba, Ibaraki 305 (Japan)
2. Center for Computational Physics, University of Tsukuba, Ibaraki 305 (Japan)

We study the scaling properties of the static quark potential and the ratio of the critical temperature T{sub 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}{sub c} on lattices with a temporal extension N{sub t}=3, 4, and 6, and then calculate the static quark potential at the critical couplings on lattices at zero temperature. We note that the static quark potentials obtained are rotationally invariant with errors of at most 1{endash}2{percent} in all three cases, and that the potential V(R) in physical units scales in the whole region of R investigated. The values of T{sub c}/{radical}({sigma}) for the three cases in the infinite volume limit are identical within errors. We estimate the value in the continuum limit to be T{sub c}/{radical}({sigma})=0.656(4), which is slightly larger than the value in the continuum limit from the one-plaquette action, 0.629(3). {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 531954
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 1 Vol. 56; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
COUPLING
CRITICAL TEMPERATURE
LATTICE FIELD THEORY
POTENTIALS
QUARKS
RENORMALIZATION
ROTATIONAL INVARIANCE
SCALING
SU-3 GROUPS
UNIFIED GAUGE MODELS