# Equation of State for the Quark Gluon Plasma with the Negative Bag Constant 

Viktor V. Begun, 1, 2 Mark I. Gorenstein, 1, 2 and Oleg A. Mogilevsky 1 

$^{1}$Bogolyubov Institute for Theoretical Physics, Kiev, Ukraine 

$^{2}$Frankfurt Institute for Advanced Studies, Frankfurt, Germany 

## Abstract 

We propose a new analytical form of the quark-gluon plasma equation of state (EoS). This new EoS satisfies all qualitative features observed in the lattice QCD calculations and gives a good quantitative description of the lattice results in the SU(3) gluodynamics. The energy density for the suggested EoS looks similar to that in the bag model, but requires a negative value of the bag constant. 

PACS numbers: 12.39.Ba, 12.40.Ee, 12.38.Mh. 

Keywords: Bag model, quark gluon plasma, equation of state 

