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When the phase transition from the hadronic matter to the deconfinedquark-gluon plasma or quark-gluon liquid is reached, the color degrees offreedom become important and appear explicitly in the equation of state. Underthe extreme conditions, the color degrees of freedom can not decouple from theother degrees of freedom. The conservation of color charges is maintained byintroducing the color chemical potentials and their fugacities. We demonstratethe explicit role of color degrees of freedom in the hot and dense matter ofthe weakly interacting quarks and gluons. In order to illustrate our approach,we calculate the effective colored quark and gluon propagators as well as thehard thermal colored quark and gluon loops. The calculations are preformedunder the assumption of the hard thermal loop approximation. Finally, wepresent the decay rate for the hard thermal colored quark. The presentcalculation is relevant to the quarks and gluons which are not truly deconfinedquark-gluon plasma and behave as a fluid in the RHIC energy. The model can beexplored in the LHC energy.

The internal color degrees of freedom for the weakly interacting quarks and gluons