TY - JOUR AB - In this work, we present a unified approach to the thermodynamics of hadron-quark-gluon matter at finite temperatures on the basis of a quark cluster expansion in the form of a generalized Beth-Uhlenbeck approach with a generic ansatz for the hadronic phase shifts that fulfills the Levinson theorem. The change in the composition of the system from a hadron resonance gas to a quark-gluon plasma takes place in the narrow temperature interval of 150-190 MeV, where the Mott dissociation of hadrons is triggered by the dropping quark mass as a result of the restoration of chiral symmetry. The deconfinement of quark and gluon degrees of freedom is regulated by the Polyakov loop variable that signals the breaking of the Z(3) center symmetry of the color SU(3) group of QCD. We suggest a Polyakov-loop quark-gluon plasma model with O(alpha(s)) virial correction and solve the stationarity condition of the thermodynamic potential (gap equation) for the Polyakov loop. The resulting pressure is in excellent agreement with lattice QCD simulations up to high temperatures. DA - 2021 DO - 10.3390/sym13030514 KW - Polyakov quark-gluon plasma KW - hadron resonance gas KW - Beth-Uhlenbeck KW - approach KW - lattice QCD thermodynamics LA - eng IS - 3 PY - 2021 T2 - Symmetry TI - Quark Cluster Expansion Model for Interpreting Finite-T Lattice QCD Thermodynamics UR - https://nbn-resolving.org/urn:nbn:de:0070-pub-29538306 Y2 - 2024-11-22T05:09:23 ER -