Scaling and asymptotic scaling in the SU(2) gauge theory
Abstract
We determine the critical couplings for the deconfinement phase transition in SU(2) gauge theory on N_{τ} × N_{σ}^{3} lattices with N_{τ} = 8 and 16 and N_{σ} varying between 16 and 48. A comparison with string tension data shows scaling of the ratio T_{c}/√ σ in the entire coupling regime ß = 2.302.75, while the individual quantities still exhibit large scaling violations. We find T_{c}/√ σ = 0.69(2). We also discuss in detail the extrapolation of T _{c}/Λ _{overlineMS}and √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 fourflavour QCD.
 Publication:

Nuclear Physics B
 Pub Date:
 March 1993
 DOI:
 10.1016/05503213(93)90682F
 arXiv:
 arXiv:heplat/9208012
 Bibcode:
 1993NuPhB.392..493F
 Keywords:

 High Energy Physics  Lattice
 EPrint:
 27 pages with 9 postscript figures included. Plain TeX file (needed macros are included). BITP 9226, FSUSCRI92103, HLRZ9239 (Quote of UKQCD string tension, and accordingly Figs. 5 and 7a, plus a few typo's corrected.)