Properties of hadronic systems according to the non-extensive self-consistent thermodynamics

Abstract

The non-extensive self-consistent theory describing the thermodynamics of hadronic systems at high temperatures is used to derive some thermodynamical quantities, as pressure, entropy, speed of sound and trace-anomaly. The calculations are free of fitting parameters, and the results are compared to lattice QCD calculations, showing a good agreement between theory and data up to temperatures around 175 MeV. Above this temperature the effects of a singularity in the partition function at To = 192 MeV results in a divergent behaviour in respect with the lattice calculation.

Comments: 10 pages, 7 figures, text modified in a few aspects. The discussion on the connections between non-extensive and lattice quantities is modified by the inclusion of a new figure