Abstract

We analyse the effects of the light and strange current quark masses on the phase diagram of QCD at finite temperature and vanishing baryonic chemical potential, computing the speed of sound, the trace anomaly of the energy momentum tensor and the fluctuations and correlations of the conserved charges associated to baryonic, electric and strangeness numbers. The framework is a known extension of the three flavor Nambu Jona Lasinio model, which includes the full set of explicit chiral symmetry breaking interactions (ESB) up to the same order in large $N_c$ counting as the 't Hooft flavor mixing terms and eight quark interactions. It is shown that the ESB terms are relevant for the description of a soft region in the system's speed of sound and overall slope behavior of the observables computed. At the same time the role of the 8q interactions gets highlighted. The model extension with the Polyakov loop is considered and the results are compared to lattice QCD data.

Highlights

  • The study of the thermodynamical properties of strongly interacting matter is one of the open present day theoretical and experimental challenges

  • The framework is a known extension of the three flavor Nambu Jona Lasinio model, which includes the full set of explicit chiral symmetry breaking interactions (ESB) up to the same order in large Nc counting as the ’t Hooft flavor mixing terms and eight quark interactions

  • It has been pointed out a long time ago that the equation of state (EoS) near the QCD phase transition might be very soft as compared to an ideal pion gas [31,32,33] such that a “longest lived fireball” could be produced in relativistic heavy ion collisions [34] with ideal conditions to study signatures of the quark gluon plasma (QGP) as it goes through the stage of deconfinement

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Summary

INTRODUCTION

The study of the thermodynamical properties of strongly interacting matter is one of the open present day theoretical and experimental challenges. Other measures resort to the equation of state (EoS) for determination of the trace of the energy momentum tensor and related specific heat and speed of sound It has been pointed out a long time ago that the EoS near the QCD phase transition might be very soft as compared to an ideal pion gas [31,32,33] such that a “longest lived fireball” could be produced in relativistic heavy ion collisions [34] with ideal conditions to study signatures of the quark gluon plasma (QGP) as it goes through the stage of deconfinement.

Model thermodynamic potential
THERMODYNAMICAL PROPERTIES OF STRONGLY INTERACTING MATTER
Polyakov loop extension
Parameter fitting
Speed of sound and energy-momentum trace anomaly
Fluctuations and correlations of conserved charges
PNJL extension
CONCLUSIONS
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