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arxiv 1211.4653 v1 pith:DDQT65CP submitted 2012-11-20 hep-ph

Investigation on the contribution of the particle mass to the interaction measure

classification hep-ph
keywords interactionmeasuremassideallatticeparticletemperaturecontributes
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Collective phenomena from RHIC and LHC experiments indicate a strongly coupled quark gluon plasma. Finite temperature lattice QCD calculations show the interaction measure, $\Delta\equiv(\epsilon-3p)/T^4$, is sizeable over a considerable range of temperatures above the deconfinement temperature, which may also indicate that the plasma is strongly interacting. For the ideal gas with massless particles, the interaction measure is zero. A nonzero value is probably due to either the interaction or the mass. In order to see the contribution of the particle mass to the interaction measure, in this paper we study a system without any interactions, i.e., an ideal gas with massive particles. After assembling the standard formulas of the quantum statistics with relativistic energy, we calculate the energy density, the pressure and the interaction measure. We find that their dependences on temperature reproduce the qualitative features of the lattice result. The interaction measure is nonzero for an ideal gas, which demonstrates that the particle mass contributes to the interaction measure. By our estimate, in the interaction measure obtained by the lattice calculation, quark mass contributes less than (40-50)%. There are sizeable residue interactions in the deconfined phase.

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    A three-parameter hadron–quark crossover equation of state fitted to lattice QCD data yields a switching temperature T₀ ≃ 216 MeV, implying hadronic degrees of freedom persist well above the chiral pseudocritical temperature.