Abstract
In the context of a two-phase model of hadronic matter suggested by Hagedorn and Rafelski, an analysis of a quark-gluon plasma described by perturbative quantum chromodynamics supplemented by a bag constant to account for nonperturbative effects is presented. A running coupling constant is explicitly implemented. The critical temperature and energy density are determined and the conditions under which ${T}_{c}<{B}^{\frac{1}{4}}$ are discussed. Next, the asymptotic density of hadronic states is derived by Laplace-inverting the partition function and the same form as in the statistical bootstrap model is obtained.
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