Mott-hadron resonance gas and lattice QCD thermodynamics

TL;DR

This paper develops an effective model to describe the transition from hadron resonance gas to quark-gluon plasma, incorporating Mott dissociation and comparing with lattice QCD results, highlighting areas for further refinement.

Contribution

It introduces a generalized Beth-Uhlenbeck approach with Mott dissociation for modeling QCD thermodynamics, aligning with lattice data at low and high temperatures.

Findings

Agreement with lattice QCD in asymptotic regions

Transition description requires additional hadronic channels

Self-consistent continuum thresholds are needed

Abstract

We present an effective model for the generic behaviour of hadron masses and phase shifts at finite temperature which shares basic features with recent developments within the PNJL model for correlations in quark matter. On this basis we obtain the transition between a hadron resonance gas phase and the quark gluon plasma in the spirit of the generalized Beth-Uhlenbeck approach where the Mott dissociation of hadrons is encoded in the hadronic phase shifts. Here we restrict ourselves to low-lying hadronic channels and perform a discussion of recent lattice QCD thermodynamics results from this perspective. We find agreement in the asymptotic regions while for the description of the transition itself the inclusion of further hadronic channels as well as a selfconsistent determination of the continuum thresholds is required.