Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1994-11-14
Nucl.Phys.B438:54-66,1995
Physics
High Energy Physics
High Energy Physics - Phenomenology
13 pages, RevTeX 3.0, no figures. Full postscript version available via anonymous ftp (192.84.132.4) at ftp://risc0.ca.infn.
Scientific paper
10.1016/0550-3213(95)00007-F
We introduce the running coupling constant of QCD in the high temperature phase, $\tilde{g}^2(T)$, through a renormalization scheme where the dimensional reduction is optimal at the one-loop level. We then calculate the relevant scale parameter, $\Lambda_T$, which characterizes the running of $\tilde{g}^2(T)$ with $T$, using the background field method in the static sector. It is found that $\Lambda_T/\Lambda_{\overline{\text{MS}}} =e^{(\gamma_E+1/22)}/(4\pi)\approx 0.148$. We further verify that the coupling $\tilde{g}^2(T)$ is also optimal for lattice perturbative calculations. Our result naturally explains why the high temperature limit of QCD sets in at temperatures as low as a few times the critical temperature. In addition, our $\Lambda_T$ agrees remarkably well with the scale parameter determined from the lattice measurement of the spatial string tension of the SU(2) gauge theory at high $T$.
Huang Suzhou
Lissia Marcello
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