%0 Journal Article %1 fingberg_scaling_1992 %A Fingberg, J. %A Heller, U. M. %A Karsch, F. %D 1992 %J arXiv:hep-lat/9208012 %K - Energy High Lattice Physics %R 10.1016/0550-3213(93)90682-F %T Scaling and Asymptotic Scaling in the SU(2) Gauge Theory %U http://arxiv.org/abs/hep-lat/9208012 %X We determine the critical couplings for the deconfinement phase transition in \$SU(2)\$ gauge theory on \$N\_\textbackslashtau \textbackslashtimes N\_\textbackslashsigmaˆ3\$ lattices with \$N\_\textbackslashtau = 8\$ and 16 and \$N\_\textbackslashsigma\$ varying between 16 and 48. A comparison with string tension data shows scaling of the ratio \$T\_c / \textbackslashsqrt\\textbackslashsigma\\$ in the entire coupling regime \$\textbackslashbeta =2.30-2.75\$, while the individual quantities still exhibit large scaling violations. We find \$T\_c / \textbackslashsqrt\\textbackslashsigma\=0.69(2)\$. We also discuss in detail the extrapolation of \$T\_c / Lambda\_\\textbackslashrm\\textbackslashbar\M\ \textbackslashbar\S\\\\$ and \$\textbackslashsqrt\\textbackslashsigma\ / Lambda\_\\textbackslashrm\\textbackslashbar\M\\textbackslashbar\S\\\\$ to the continuum limit. Our result, which is consistent with the above ratio, is \$T\_c / Lambda\_\\textbackslashrm\\textbackslashbar\M\\textbackslashbar\S\\\ = 1.23(11)\$ and \$\textbackslashsqrt\\textbackslashsigma\ / Lambda\_\\textbackslashrm\\textbackslashbar\M\\textbackslashbar\S\\\ = 1.79(12)\$. We also comment upon corresponding results for \$SU(3)\$ gauge theory and four flavour QCD.

@article{fingberg_scaling_1992, abstract = {We determine the critical couplings for the deconfinement phase transition in {\$SU(2)\$} gauge theory on {\$N\_{\textbackslash}tau} {\textbackslash}times N\_{\textbackslash}sigma{\textasciicircum}3\$ lattices with {\$N\_{\textbackslash}tau} = 8\$ and 16 and {\$N\_{\textbackslash}sigma\$} varying between 16 and 48. A comparison with string tension data shows scaling of the ratio {\$T\_c} / {\textbackslash}sqrt\{{\textbackslash}sigma\}\$ in the entire coupling regime \${\textbackslash}beta =2.30-2.75\$, while the individual quantities still exhibit large scaling violations. We find {\$T\_c} / {\textbackslash}sqrt\{{\textbackslash}sigma\}=0.69(2)\$. We also discuss in detail the extrapolation of {\$T\_c} / Lambda\_\{{\textbackslash}rm\{{\textbackslash}{bar\{M\}} {\textbackslash}{bar\{S\}\}\}\$} and \${\textbackslash}sqrt\{{\textbackslash}sigma\} / Lambda\_\{{\textbackslash}rm\{{\textbackslash}{bar\{M\}{\textbackslash}bar\{S\}\}\}\$} to the continuum limit. Our result, which is consistent with the above ratio, is {\$T\_c} / Lambda\_\{{\textbackslash}rm\{{\textbackslash}{bar\{M\}{\textbackslash}bar\{S\}\}\}} = 1.23(11)\$ and \${\textbackslash}sqrt\{{\textbackslash}sigma\} / Lambda\_\{{\textbackslash}rm\{{\textbackslash}{bar\{M\}{\textbackslash}bar\{S\}\}\}} = 1.79(12)\$. We also comment upon corresponding results for {\$SU(3)\$} gauge theory and four flavour {QCD.}}, added-at = {2013-03-05T18:20:59.000+0100}, author = {Fingberg, J. and Heller, U. M. and Karsch, F.}, biburl = {https://www.bibsonomy.org/bibtex/2248d91ad83790aac716e8f7ba7292622/gber}, doi = {10.1016/0550-3213(93)90682-F}, file = {arXiv.org Snapshot:/home/bergner/zotero/storage/8HI9SUXI/9208012.html:text/html;hep-lat/9208012 PDF:/home/bergner/zotero/storage/UKR67826/Fingberg et al. - 1992 - Scaling and Asymptotic Scaling in the SU(2) Gauge .pdf:application/pdf}, interhash = {005e8d9856a7c5a89ee09446ec65f1e5}, intrahash = {248d91ad83790aac716e8f7ba7292622}, journal = {{arXiv:hep-lat/9208012}}, keywords = {- Energy High Lattice Physics}, month = aug, note = {{Nucl.Phys.} B392 (1993) 493-517}, timestamp = {2013-03-05T18:20:59.000+0100}, title = {Scaling and Asymptotic Scaling in the {SU(2)} Gauge Theory}, url = {http://arxiv.org/abs/hep-lat/9208012}, urldate = {2013-03-05}, year = 1992 }