The speed of sound in QGP and SU(3) Yang-Mills theory

Abstract

The speed of sound $C_s$ in the SU(3) and (2+1)QCD is calculated within the Field Correlator Method using the nonperturbative colour magnetic confinement and Polyakov loop interaction in the deconfined region.The resulting $C_s$ displays a discontinuity at $T=T_c$ in the SU(3) case. It is shown numerically and analytically that $C_s^2$ never exceeds $\frac{1}{3}$ both for SU(3) and (2+1) QCD for vanishing chemical potential.A good agreement is found of our numerical results with the corresponding lattice data.

10 pages, 3 figures