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A unified equation of state for quark-hadron matter is presented in the generalized Beth-Uhlenbeck form. It follows from a $\Phi-$derivable approach to the thermodynamic potential where the ansatz for the $\Phi$ functional contains all 2PI…

High Energy Physics - Phenomenology · Physics 2017-05-19 D. Blaschke , A. Dubinin , L. Turko

We present a unified approach to the transition from hadronic matter to quark matter where hadrons are treated as bound states of quarks which dissociate at high densities due to quark Pauli blocking. The newly developed approach makes use…

High Energy Physics - Phenomenology · Physics 2025-07-15 David Blaschke , Oleksii Ivanytskyi , Gerd Röpke

We outline an approach to a unified equation of state for quark-hadron matter on the basis of a $\Phi-$derivable approach to the generalized Beth-Uhlenbeck equation of state for a cluster decomposition of thermodynamic quantities like the…

Nuclear Theory · Physics 2018-05-29 Niels-Uwe F. Bastian , David Blaschke , Tobias Fischer , Gerd Röpke

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…

High Energy Physics - Phenomenology · Physics 2015-09-04 D. Blaschke , A. Dubinin , L. Turko

We describe multiquark clusters in quark matter within a Beth-Uhlenbeck approach in a background gluon field coupled to the underlying chiral quark dynamics using the Polyakov gauge which establishes the center symmetry of color SU(3) that…

Nuclear Theory · Physics 2024-01-26 D. Blaschke , M. Cierniak , O. Ivanytskyi , G. Röpke

An important first step in the program of hadronization of chiral quark models is the bosonization in meson and diquark channels. This procedure is presented at finite temperatures and chemical potentials for the SU(2) flavor case of the…

High Energy Physics - Phenomenology · Physics 2014-06-30 D. Blaschke , M. Buballa , A. Dubinin , G. Roepke , D. Zablocki

We consider a cluster expansion for strongly correlated quark matter where the clusters are baryons with spectral properties that are described within the generalized Beth-Uhlenbeck approach by a medium dependent phase shift. We employ a…

Nuclear Theory · Physics 2021-01-26 Niels-Uwe Friedrich Bastian , David Bernhard Blaschke

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…

High Energy Physics - Phenomenology · Physics 2021-03-26 D. Blaschke , Kirill A. Devyatyarov , Olaf Kaczmarek

We derive a generalized Beth-Uhlenbeck formula for the entropy of a dense fermion system with strong two-particle correlations, including scattering states and bound states. We work within the $\Phi-$derivable approach to the thermodynamic…

Nuclear Theory · Physics 2025-12-04 David Blaschke , Gerd Röpke , Gordon Baym

We present a recent development towards a unified description of quark-hadron matter in the QCD phase diagram that is based on a cluster decomposition of the generalized Beth-Uhlenbeck approach to quark matter, selfconsistently coupled to…

Nuclear Theory · Physics 2021-04-15 David Blaschke

A combined effective model reproducing the equation of state of hadronic matter as obtained in recent lattice QCD simulations is presented. The model reproduces basic physical characteristics encountered in dense hadronic matter in the…

Nuclear Theory · Physics 2013-08-26 L. Turko , D. Blaschke , D. Prorok , J. Berdermann

We construct an effective model for the QCD equation of state, taking into account chiral symmetry restoration as well as the deconfinement phase transition. The correct asymptotic degrees of freedom at the high and low temperature limits…

High Energy Physics - Phenomenology · Physics 2011-01-28 J. Steinheimer , S. Schramm , H. Stöcker

We describe the Mott dissociation of pions and kaons within a Beth-Uhlenbeck approach based on the PNJL model, which allows for a unified description of bound, resonant and scattering states. Within this model we evaluate the temperature…

High Energy Physics - Phenomenology · Physics 2017-11-22 A. Dubinin , A. Radzhabov , D. Blaschke , A. Wergieluk

We study a generalized version of the Gross-Neveu model in 2+1 dimensions. The model is inspired from Graphene, which shows a linear dispersion relation near the Dirac points. The phase structure and the thermodynamic properties in the mean…

Mesoscale and Nanoscale Physics · Physics 2025-04-18 Biplab Mahato , David Blaschke , Dietmar Ebert

The QCD transition from a hadronic to a quark-gluon plasma phase is a cross-over at vanishing/small baryo-chemical potential, while at higher chemical potentials it is argued that it becomes of first order, ending with a critical end-point.…

High Energy Physics - Phenomenology · Physics 2020-12-30 M. Motta , W. M. Alberico , A. Beraudo , P. Costa , R. Stiele

We propose a phenomenological approach for the equation of state of a unitary Fermi gas. The universal equation of state is parametrised in terms of Fermi-Dirac integrals. This reproduces the experimental data over the accessible range of…

Statistical Mechanics · Physics 2017-08-02 M. V. N. Murthy , M. Brack , R. K. Bhaduri

Based on the assumption that the QCD phase diagram gives a realistic picture of hadronic and quark matter under different regimes, it is possible to claim that a quark core may be present inside compact objects commonly named hybrid neutron…

Nuclear Theory · Physics 2022-09-28 M. R. Pelicer , D. P. Menezes

Recent consensus on the $N_f=2+1$ equation of state at vanishing chemical potential from different lattice-QCD groups has spoiled the previous agreement with the outcome from the mean-field Polyakov-Nambu-Jona-Lasinio model. In this letter…

Nuclear Theory · Physics 2017-04-28 Juan M. Torres-Rincon , Joerg Aichelin

The Generalized Uncertainty Principle (GUP), which has been predicted by various theories of quantum gravity near the Planck scale is implemented on deriving the thermodynamics of ideal Quark-Gluon Plasma (QGP) consisting of two massless…

High Energy Physics - Phenomenology · Physics 2014-10-24 I. Elmashad , A. Farag Ali , L. I. Abou-Salem , Jameel-Un Nabi , A. Tawfik

We study in more detail the properties of the generalized Beth Uhlenbeck formula obtained in a preceding article. This formula leads to a simple integral expression of the grand potential of the system, where the interaction potential…

atom-ph · Physics 2016-08-15 P. Grüter , F. Laloë , A. E. Meyerovich , W. Mullin
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