Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-08-30
Phys.Rev.Lett. 76 (1996) 1417-1420
Physics
High Energy Physics
High Energy Physics - Phenomenology
12 pages, LaTeX
Scientific paper
10.1103/PhysRevLett.76.1417
The free energy for QCD at high temperature $T$ is calculated to order $g^5$ using effective-field-theory methods to separate the contributions from the momentum scales $T$ and $gT$. The effects of the scale $T$ enter through the coefficients in the effective lagrangian for the 3-dimensional effective theory obtained by dimensional reduction. The perturbation series for these coefficients seem to be well-behaved if the running coupling constant is sufficiently small: $\alpha_s(2 \pi T) \ll 1$. For the contribution to the free energy from the scale $gT$, the perturbation series is well-behaved only if $\alpha_s(2 \pi T)$ is an order of magnitude smaller. The implication for applications of perturbative QCD to the quark-gluon plasma are briefly discussed.
Braaten Eric
Nieto Agustin
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