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arXiv · hep-ph/9308227

Temperature Dependence of the QCD Coupling

M. A. van Eijck·C. R. Stephens·Ch. G. van Weert
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Abstract

We present a one-loop calculation of a gauge invariant QCD beta function. Using both momentum and temperature renormalization group equations we investigate the running coupling in the magnetic sector as a function of temperature and momentum scale. At fixed momentum scale we find that, in contrast to $λϕ^4$ or QED, high-temperature QCD is strongly coupled, even after renormalization group improvement. However, if the momentum scale is changed simultaneously with temperature in a specified manner, the coupling decreases. We also point out in what regime dimensional reduction occurs. Both the cases $N_f$ smaller and larger than $\frac{11}{2} N_c$ are discussed.

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M. A. van Eijck, C. R. Stephens, Ch. G. van Weert. 1993-08-04. Temperature Dependence of the QCD Coupling. https://doi.org/10.1142/s0217732394000320

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