Juan M. Torres-Rincon (Subatech, IN2P3/CNRS, Universite de Nantes)

Revisiting the equation of state of hot matter using the Polyakov-Nambu-Jona-Lasinio model

The phase diagram is one of the key features of hot and dense matter. First-principles QCD calculations, like QCD on a lattice, only provide reliable knowledge in very limited regions of this diagram. A more global (but approximate) description of the thermal properties of QCD can be achieved through effective models, like the Polyakov-Nambu-Jona-Lasinio model. This model is able to map the whole phase diagram at finite temperatures and densities, but the standard equation of state at mean-field level, already at zero baryonic density, presents strong tensions with the results provided by lattice-QCD calculations. I revisit the foundations of the model and the calculation of the thermodynamic potential to improve the description of the equation of state and make it compatible with current lattice-QCD results.