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

When the phase transition from the hadronic matter to the deconfined\nquark-gluon plasma or quark-gluon liquid is reached, the color degrees of\nfreedom become important and appear explicitly in the equation of state. Under\nthe extreme conditions, the color degrees of freedom can not decouple from the\nother degrees of freedom. The conservation of color charges is maintained by\nintroducing the color chemical potentials and their fugacities. We demonstrate\nthe explicit role of color degrees of freedom in the hot and dense matter of\nthe weakly interacting quarks and gluons. In order to illustrate our approach,\nwe calculate the effective colored quark and gluon propagators as well as the\nhard thermal colored quark and gluon loops. The calculations are preformed\nunder the assumption of the hard thermal loop approximation. Finally, we\npresent the decay rate for the hard thermal colored quark. The present\ncalculation is relevant to the quarks and gluons which are not truly deconfined\nquark-gluon plasma and behave as a fluid in the RHIC energy. The model can be\nexplored in the LHC energy.\n