QCD Coupling Constant at Finite Temperature

Details QCD Coupling Constant at Finite Temperature QCD Coupling Constant at Finite Temperature

1996-05-02

arxiv.org/abs/hep-ph/9605205v1

Acta Phys.Polon. 27 (1996) 1703-1718

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, Latex, one figure is not included and can be sent upon requirement

Scientific paper

We work out the method for evaluating the QCD coupling constant at finite temperature ($T$) by making use of the finite $T$ renormalization group equation up to the one-loop order on the basis of the background field method with the imaginary time formalism. The background field method, which maintains the explicit gauge invariance, provides notorious simplifications since one has to calculate only the renormalization constant of the background field gluon propagator. The results for the evolution of the QCD coupling constant at finite $T$ reproduce partially the ones obtained in the literature. We discuss, in particular, the origin of the discrepancies between different calculations, such as the choice of gauge, the break-down of Lorentz invariance, imaginary versus real time formalism and the applicability of the Ward identities at finite $T$.

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