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The Temperature Dependence of the QCD Running Coupling

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arxiv hep-ph/0409329 v1 pith:FQ5RIPRM submitted 2004-09-28 hep-ph

The Temperature Dependence of the QCD Running Coupling

classification hep-ph
keywords couplingtemperatureapproximationdependencerenormalizationrunningalthoughanti-screened
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

We study the running of the QCD coupling with the momentum squared ($Q^2$) and the temperature scales in the high temperature limit ($T > T_{c}$), using a mass dependent renormalization scheme to build the Renormalization Group Equations. The approach used guaranty gauge invariance, through the use of the Hard Thermal Loop approximation, and independence of the vertex chosen to renormalize the coupling. In general, the dependence of the coupling with the temperature is not logarithmical, although in the region $Q^2 \sim T^2$ the logarithm approximation is reasonable. Finally, as known from Debye screening, color charge is screened in the coupling. The number of flavors, however, is anti-screened.

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Cited by 3 Pith papers

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