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

Blaschke, D.; Devyatyarov, Kirill; Kaczmarek, Olaf

doi:10.3390/sym13030514

Cited by 2 publications

(3 citation statements)

References 42 publications

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“…For the very good agreement of our approach with the latter it is important that the contribution from the Polyakov loop potential is negative (like a bag pressure) in the transition region and asymptotically describes the Stefan-Boltzmann contribution of the gluons. It is well known and confirmed by the lattice QCD data that the behaviour at high temperatures deviates from the Stefan-Boltzmann one for quarks and gluons as massless, ideal quantum gases but can be well described by virial corrections in O(α s ) perturbation theory, see [23] for the details.…”

Section: The High-temperature Casementioning

confidence: 83%

“…The main idea for unifying the description of the QGP and the HRG phase of low-energy QCD matter is the fact that hadrons are bound states (clusters) of quarks and should therefore emerge in a cluster expansion of interacting quark matter as new, collective degrees of freedom [22]. For the total thermodynamic potential of the model, from which all other equations of state can be derived, we make the following ansatz [23] Ω total (T ; φ) = Ω QGP (T ; φ) + Ω MHRG (T ) ,…”

Section: Cluster Expansion Of the Beth-uhlenbeck Approachmentioning

confidence: 99%

“…In Ref. [23] we have applied the cluster decomposition approach to the hadron-to-quark matter transition at finite T and vanishing µ where we perform a comparison with modern lattice QCD results. Here we do not solve the gap equation for the dynamical quark mass, but we adopt a linear relation between the threshold masses in the different hadronic channels and the chiral condensate ∆ l,s (T ) that we fit to the lattice QCD data.…”

Section: The High-temperature Casementioning

confidence: 99%

See 2 more Smart Citations

Unified Quark–Hadron EoS and Critical Endpoint in the QCD Phase Diagram

Blashke¹

2021

Acta Phys. Pol. B Proc. Suppl.

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We present a recent development towards a unified description of quarkhadron 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 Polyakov-loop and mesonic background fields. The Mott dissociation of hadrons under extreme conditions of temperature and density is triggered by chiral symmetry restoration and confining aspects are modeled by the coupling to the background mean fields. First results for the QCD phase diagram with the capability to describe critical endpoints as well as crossover-all-over are presented and an excellent agreement with lattice QCD on the temperature axis is obtained.

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Section: The High-temperature Casementioning

confidence: 83%

Section: Cluster Expansion Of the Beth-uhlenbeck Approachmentioning

confidence: 99%

Section: The High-temperature Casementioning

confidence: 99%

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Unified Quark–Hadron EoS and Critical Endpoint in the QCD Phase Diagram

Blashke¹

2021

Acta Phys. Pol. B Proc. Suppl.

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Thermodynamics of quark matter with multiquark clusters in an effective Beth-Uhlenbeck type approach

Blaschke,

Cierniak,

Ivanytskyi

et al. 2024

Eur. Phys. J. A

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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. An effective potential for the traced Polyakov loop is used to establish the center symmetry of the SU(3) color which suppresses colored states and its dynamical breaking as an aspect of the confinement/deconfinement transition. Quark confinement is modeled by a large quark mass in vacuum which is motivated by a confining density functional approach. A multiquark cluster containing n quarks and antiquarks is described as a binary composite of smaller subclusters $$n_1$$ n 1 and $$n_2$$ n 2 ($$n_1+n_2=n$$ n 1 + n 2 = n ). It has a spectrum consisting of a bound state and a scattering state continuum. For the corresponding cluster-cluster phase shifts we use simple ansätze that capture the Mott dissociation of clusters as a function of temperature and chemical potential. We go beyond the simple “step-up-step-down” model that ignores continuum correlations and introduce an improved model that includes them in a generic form. In order to explain the model, we restrict ourselves here to the cases where the cluster size is $$1 \le n \le 6$$ 1 ≤ n ≤ 6 . A striking result is the suppression of the abundance of colored multiquark clusters at low temperatures by the coupling to the Polyakov loop and their importance for a quantitative description of lattice QCD thermodynamics at non-vanishing baryochemical potentials. An important ingredient are Polyakov-loop generalized distribution functions of n-quark clusters which are derived here for the first time. Within our approach we calculate thermodynamic properties such as baryon density and entropy. We demonstrate that the limits of a hadron resonance gas at low temperatures and $$\mathcal {O}(g^2)$$ O ( g 2 ) perturbative QCD at high temperatures are correctly reproduced. A comparison with lattice calculations shows that our model is able to give a unified, systematic approach to describe properties of the quark-gluon-hadron system.

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

Cited by 2 publications

References 42 publications

Unified Quark–Hadron EoS and Critical Endpoint in the QCD Phase Diagram

Unified Quark–Hadron EoS and Critical Endpoint in the QCD Phase Diagram

Thermodynamics of quark matter with multiquark clusters in an effective Beth-Uhlenbeck type approach

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