content_image/348927.jpg
are T 2 contributions to both p ( T ) and ε ( T ), 

<img src='content_image/348927.jpg'>

and a comparison with the MC lattice results [2] gives C > 0 and B > 0. In that case, ( ε − 3 p ) /T 4 = 2 C/T 2 + 4 B/T 4 corresponds to a monotonous decreasing function of T as both terms are positive. A comparison of the EoS (9) and (11) will be discussed in more details in Ref. [7]. An extension of the A -BM to the SU( N$_{c}$ ) gluodynamics with N$_{c}$ > 3 [8], to the quark degrees of freedom and non-zero baryonic chemical potentials can be done along the same scheme and will be considered elsewhere. 

In summary, we have suggested a new EoS for the deconfined matter – the A -BM (9). It satisfies all qualitative features of the MC lattice results at T > T$_{c}$ and gives a good quantitative description of the lattice results [2] for the SU(3) gluodynamics, see Fig. 3. The expression for ε ( T ) in the A -BM (9) looks similar to that in the BM (1). However, the pressure function p ( T ) in the A -BM (9) contains a new linear in T negative term which does not contribute to ε ( T ). The presence of this negative pressure term leads to a principal difference between the bag term B in the BM and that in the A -BM. The bag parameter in the A -BM (9) is found to be negative , in contrast to the positive bag constant B in the BM EoS (1). The A -BM (9) gives a simple analytical parametrization of the QGP EoS. This opens new possibilities for its applications in the hydrodynamic description of the QGP. 

Acknowledgments. We would like to thank A.I. Bugrij, M. Ga´zdzicki, W. Greiner, V.P. Gusynin, L.L. Jenkovszky, and O. Linnyk for fruitful discussions and O. Kaczmarek for providing us with the lattice results. V.V. Begun thanks the Alexander von Humboldt Foun- dation for the support. This work was in part supported by the Program of Fundamental Research of the Department of Physics and Astronomy of NAS, Ukraine. 

[1] E.V. Shuryak, Phys. Rep. 61 , 71 (1980); J. Cleymans, R.V. Gavai, and E. Suhonen, ibid. 130 , 217 (1986). 

[2] G. Boyd et al, Phys. Rev. Lett. 75 , 4169 (1995); Nucl. Phys. B 469 , 419 (1996). 

[3] M.I. Gorenstein and S.N. Yang. Phys. Rev. D 52 , 5206 (1995). 

