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Collective excitations of a hot QCD medium are the main focus of the presentarticle. The analysis is performed within semi-classical transport theory withisotropic and anisotropic momentum distribution functions for the gluonic andquark-antiquark degrees of freedom that constitutes the hot QCD plasma. Theisotropic/equilibrium momentum distributions for gluons and quarks are based ona recent quasi-particle description of hot QCD equations of state. Theanisotropic distributions are just the extensions of isotropic ones bystretching or squeezing them in one of the directions. The hot QCD mediumeffects in the model adopted here enter through the effective gluon and quarkfugacities along with non-trivial dispersion relations leading to an effectiveQCD coupling constant. Interestingly, with these distribution functions thetensorial structure of the gluon polarization tensor in the medium turned outto be similar to the one for the non-interacting ultra-relativistic system ofquarks/antiquarks and gluons . The interactions mainly modify the Debye massparameter and , in turn, the effective coupling in the medium. Thesemodifications have been seen to modify the collective modes of the hot QCDplasma in a significant way.

Collective excitations of hot QCD medium in a quasi-particle description