Three-dimensional SU(3) gauge theory and the spatial string tension of the (3+1)-dimensional finite temperature SU(3) gauge theory

摘要

We establish a close relation between the spatial string tension of the (3+1)-dimensional SU(3) gauge theory at finite temperature (\sigma_s) and the string tension of the 3-dimensional SU(3) gauge theory (\sigma_3) which is similar to what has been found previously for SU(2). We obtain \sqrt{\sigma_3} = (0.554 \pm 0.004) g_3^2 and \sqrt{\sigma_s} = (0.586 \pm 0.045)g^2(T) T, respectively. For temperatures larger than twice the critical temperature results are consistent with a temperature dependent coupling running according to the two-loop \beta-function with \Lambda_T = 0.118(36)T_c.