  The quark gluon plasma is a novel state of matter in which quarks are no
longer confined to bound states such as baryons and mesons. the freezing of
quarkvgluon deconfined degrees of freedom is the essential ingredient in
determining the conditions in a transition between phases that has time to
develop into equilibrium. The degree of freedom in the confined hadronic matter
phase and the deconfined phase, that is, the QGP, is important in the study of
phase transition in the early universe. It is calculated according to the
strong coupling constant. But in the present work, we try to figure out the
effect of the running coupling constant in the calculation of the degree of
freedom, the latent heat and the critical pressure in the confined-deconfined
phase of matter
