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

TL;DR

This paper applies non-extensive self-consistent thermodynamics to hadronic systems, deriving thermodynamic quantities without fitting parameters and comparing results with lattice QCD, showing good agreement up to 175 MeV.

Contribution

It introduces a parameter-free non-extensive thermodynamic model for hadronic systems and compares its predictions with lattice QCD data.

Findings

Good agreement with lattice QCD up to 175 MeV

Divergence occurs at T0 = 192 MeV due to a singularity

Model effectively describes thermodynamics of hadronic matter

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.