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

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arxiv 1806.09407 v2 pith:AJDVOSR3 submitted 2018-06-25 hep-ph

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

classification hep-ph
keywords soundspeedagreementanalyticallycalculatedcasechemicalcolour
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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