Abstract
QCD at finite temperature below the phase transition should be determined in terms of colour singlet states such as hadrons and strings. We show how quark-hadron duality allows extracting sensible information concerning heavy quark and string breaking coupled channel dynamics from Polyakov loop correlators.
Highlights
QCD at finite temperature below the phase transition should be determined in terms of colour singlet states such as hadrons and strings
We show how quark-hadron duality allows extracting sensible information concerning heavy quark and string breaking coupled channel dynamics from Polyakov loop correlators
A general principle of quantum statistical mechanics is the direct relation between the thermodynamics of the system at equilibrium at finite temperature T and the spectrum of all possible states Ψn of a given Hamiltonian H, fulfilling HΨn = EnΨn [1]
Summary
We identify it with the hadronic spectrum in the case of bound states This identification becomes a problematic issue in the case of a resonance where mass and width depend on the particular production process and the corresponding background definition in the experiment whereas in a finite box such as in lattice QCD, a resonance is identified as a volume independent energy shift 2. On the phenomenological hadronic side, one may assume that the EOS is determined by hadron dynamics, where all resonance states which live long enough contribute to the thermodynamics This is unlike some weakly bound states, such as e.g. the deuteron, which average out within temperature intervals comparable to the binding energy [3]. This overall agreement between the venerable RQM-based HRG, the upgraded PDG-based HRG and the brand new QCD lattice calculations is truly impressive, not fully understood
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