The QCD Running Coupling at Finite Temperature and Density

Details The QCD Running Coupling at Finite Temperature and Density The QCD Running Coupling at Finite Temperature and Density

2003-03-13

arxiv.org/abs/hep-ph/0303104v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 1 figure

Scientific paper

We present for the first time a self-contained calculation of the QCD running coupling at finite temperature and quark chemical potential, alpha_s(T, mu), based on a semiclassical background field method. The hard thermal/dense loop results on the Debye screening mass are recovered in a first approximation. The final result can be interpreted as the ordinary zero temperature running coupling, with momenta replaced by in-medium scales Lambda: at high density and zero temperature, the quark scale is set by Lambda ~ 24.4 mu. At high temperature and moderate densities, the quark in-medium scale reads Lambda^2 ~ [2.91 T]^2 + [1.91 mu]^2, which resembles the naive phenomenological estimate Lambda^2 = (pi T)^2 + mu^2.

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