Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Quark Cluster Expansion Model for Interpreting Finite-T Lattice Qcd Thermodynamics

Version 1 : Received: 5 January 2021 / Approved: 6 January 2021 / Online: 6 January 2021 (10:34:07 CET)

How to cite: Blaschke, D.; Devyatyarov, K.; Kaczmarek, O. Quark Cluster Expansion Model for Interpreting Finite-T Lattice Qcd Thermodynamics. Preprints 2021, 2021010106 (doi: 10.20944/preprints202101.0106.v1). Blaschke, D.; Devyatyarov, K.; Kaczmarek, O. Quark Cluster Expansion Model for Interpreting Finite-T Lattice Qcd Thermodynamics. Preprints 2021, 2021010106 (doi: 10.20944/preprints202101.0106.v1).

Abstract

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 150−185 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(αs) 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.

Subject Areas

Polyakov quark-gluon plasma; hadron resonance gas; Beth-Uhlenbeck approach; lattice QCD thermodynamics

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.