F. Karsch et al., 3-DIMENSIONAL SU(3) GAUGE-THEORY AND THE SPATIAL STRING TENSION OF THE (3-DIMENSIONAL FINITE-TEMPERATURE SU(3) GAUGE-THEORY(1)), Physics letters. Section B, 346(1-2), 1995, pp. 94-98
We establish a close relation between the spatial string tension of th
e (3 + 1)-dimensional SU(3) gauge theory at finite temperature (sigma(
s)) and the string tension of the 3-dimensional SU(3) gauge theory (si
gma(3)) which is similar to what has been found previously for SU(2).
We obtain root sigma(3) = (0.554 +/- 0.004) g(3)(2) and root sigma(s)
= (0.586 +/- 0.045) g(2) (T)T, respectively. For temperatures larger t
han twice the critical temperature, results are consistent with a temp
erature dependent coupling running according to the two-loop beta-func
tion with Lambda(T) = 0.118(36) T-c.