### Aleksandr Dubinin

University of Wroclaw, Poland
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Mott-hadron resonance gas and lattice QCD thermodynamics

We present an effective model for low-energy QCD
thermodynamics which provides a microscopic interpretation of the
transition from a gas of hadron resonances to the quark-gluon plasma by
Mott dissociation of hadrons and compare results with data from lattice
QCD simulations. We consider the thermodynamics of the Polyakov-loop
extended Nambu—Jona-Lasinio (PNJL) model within the self consistent
approximation scheme of the Φ-derivable approach. This allows us to
obtain the Generalized Beth-Uhlenbeck (GBU) equation of state. Our
approach goes beyond the mean-field description of quark matter by
taking into account hadronic correlations (bound and scattering states)
(Annals Phys. 348 (2014) 228-255). The next step in our work is to
include more hadronic degrees of freedom than just the low-lying
pseudoscalar mesons. For that purpose we discuss a model for the generic
behavior 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 (arXiv: 1612.09556). We also discuss the
occurrence of an anomalous mode for mesons composed of quarks with
unequal masses which is particularly pronounced for positive kaon and
their scalar partner states at finite densities as a possible mechanism
to explain the "horn effect" for the energy scan of the K+/pi+ ratio
in heavy-ion collisions (arXiv:1608.05383v3).

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