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^{2}_{s}$ 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.
Highlights
One of the most significant discoveries of recent times was experimental detection of quark-gluon plasma (QGP) [1,2,3,4]
The speed of sound Cs in the SU(3) and (2 þ 1) QCD is calculated within the field correlator method using the nonperturbative color magnetic confinement and Polyakov loop interaction in the deconfined region.The resulting Cs displays a discontinuity at T 1⁄4 Tc in the SU(3) case
To describe processes in the heavy ions collision, it is possible to use a hydrodynamic approach related to the physics of QGP [17,18]
Summary
One of the most significant discoveries of recent times was experimental detection of quark-gluon plasma (QGP) [1,2,3,4]. Obtain predictions for the speed of sound in QCD is connected with holographic description [30,31,32,33,34,35,36,37] As it has become clear from numerous lattice and experimental studies of QCD at T > 0, the main dynamics of both hadron and QGP phases is of the nonperturbative (np) origin and should be treated within the np methods.The fundamental approach to the np QCD is developed in the framework of the field correlator method (FCM) [38,39,40,41,42,43] generalized to nonzero temperatures [44,45,46,47,48].
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