PUB - Publikationen an der Universität Bielefeld

We perform a detailed analysis of the predictions of resummed perturbationtheory for the pressure and the second, fourth and sixth order diagonal quarknumber susceptibilities in a hot and dense quark-gluon plasma. First, wepresent a full one-loop calculation of the equation of state withinhard-thermal-loop perturbation theory, and then perform a resummation of theexisting four-loop weak coupling expression of the pressure, motivated bydimensional reduction. The convergence properties of the results are analyzedand their agreement with state-of-the-art lattice data discussed. Finally, wecompare the full one-loop hard-thermal-loop results to previous ones thatemploy an expansion in the ratios of thermal masses and the temperature,concluding that the expansion converges reasonably fast.