We determine the critical couplings for the deconfinement phase transition in SU(2) gauge theory on Nτ × Nσ3 lattices with Nτ = 8 and 16 and Nσ varying between 16 and 48. A comparison with string tension data shows scaling of the ratio Tc/√ σ in the entire coupling regime ß = 2.30-2.75, while the individual quantities still exhibit large scaling violations. We find Tc/√ σ = 0.69(2). We also discuss in detail the extrapolation of T c/Λ overlineMSand √σ/Λ overlineMS to the continuum limit. Our result, which is consistent with the above ratio, is T c/Λ overlineMS=1.23(11) and √σ/Λ overlineMS=1.79(12) . We also comment upon corresponding results for SU(3) gauge theory and four-flavour QCD.
Nuclear Physics B
- Pub Date:
- March 1993
- High Energy Physics - Lattice
- 27 pages with 9 postscript figures included. Plain TeX file (needed macros are included). BI-TP 92-26, FSU-SCRI-92-103, HLRZ-92-39 (Quote of UKQCD string tension, and accordingly Figs. 5 and 7a, plus a few typo's corrected.)