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# Thermodynamics of the Glueball Resonance Gas

Dec 2022

We study the thermodynamic properties -- pressure, entropy and trace anomaly-- of a gas of glueballs that includes the glueball states obtained by variouslattice simulations. We show that this model, called Glueball Resonance Gas(GRG) approach, describes well the thermal properties of the Yang-Mills sectorof QCD below the critical temperature $T_c$, provided that $T_c$ is properlymatched to the corresponding determination of the glueball masses, obtaining$T_c \sim 320 \pm 20$ MeV. The inclusion into the GRG of heavier glueballs notyet seen on the lattice, assuming that glueballs follow Regge trajectories asquark-antiquark states do, leads only to a small correction. We consider thecontribution to the pressure of the interactions between scalar-scalar andtensor-tensor glueballs, which turn out to be also negligible.

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