Abstract
We discuss the glueball contribution to the equation of state (EoS) of hot gluon matter below and above $T_c$. It is shown that the strong changing of masses of scalar and pseudoscalar glueballs near $T_c$ plays very important role in the thermodynamics of $SU(3)$ gauge theory. In particular, we give the arguments that these glueballs become massless at $T_G\approx 1.1T_c$ and this phenomenon is crucial in understanding of the mystery in the behavior of trace anomaly founded in the lattice calculation.
Highlights
We discuss the glueball contribution to the equation of state (EoS) of hot gluon matter below and above Tc
The nonzero value of trace anomaly shows the deviation of EoS from the ideal gluon gas and, gives the very important information about the interaction between the gluons
In this Letter we give the arguments on the importance of the scalar and pseudoscalar glueballs in EoS of pure SU(3) gauge theory above Tc
Summary
We discuss the glueball contribution to the equation of state (EoS) of hot gluon matter below and above Tc. The nonzero value of trace anomaly shows the deviation of EoS from the ideal gluon gas and, gives the very important information about the interaction between the gluons. In this Letter we give the arguments on the importance of the scalar and pseudoscalar glueballs in EoS of pure SU(3) gauge theory above Tc. In particular, it will be shown that the most likely scenario is that these two glueballs become massless at TG ≈ 1.1Tc and this phenomenon is crucial in our understanding of the trace anomaly behavior above Tc. Our starting point is the relation between lowest mass of scalar glueball, mG, and gluon condensate, G2
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