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<p>We study the thermodynamic properties of the deconfinement phase transition in quantum chromodynamics (QCD) for two light quark flavors, by using two effective models: the Polyakov–Nambu–Jona-Lasinio (PNJL) model and the MIT Bag Model with a color-singletness condition (Bag-CS) for the quark-gluon plasma (QGP). In the former, we analyze the impact of the Vandermonde (VdM) parameter <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(K\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>K</mi> </math></EquationSource> </InlineEquation> on the Polyakov loop potential and in the latter, we use a switching function for the equations of state of the hadronic and QGP phases to allow for a smooth crossover between the two phases and we examine the role of the bag constant <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(B\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>B</mi> </math></EquationSource> </InlineEquation> in controlling the stability of the strongly interacting matter. Several physical quantities are calculated in both models, at vanishing chemical potential and finite temperatures. Our findings suggest that small values of the VdM parameter <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(K\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>K</mi> </math></EquationSource> </InlineEquation> in the PNJL model and large values of the bag constant <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(B\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>B</mi> </math></EquationSource> </InlineEquation> in the Bag-CS model lead to a better consistent description of the QCD phase transition. There is a good agreement with lattice QCD results for a broad temperature range, and both models have an evident convergence in the crossover region.</p>

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Thermodynamic Investigation of the QCD Phase Transition through the PNJL and Color-Singlet Bag Models in the Light of Lattice QCD Results

  • 期刊论文

  • 发表日期：

    2026年5月4日

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  • M. A. Lakehal,
  • A. Ait El Djoudi,
  • B. Moussaoui

摘要

We study the thermodynamic properties of the deconfinement phase transition in quantum chromodynamics (QCD) for two light quark flavors, by using two effective models: the Polyakov–Nambu–Jona-Lasinio (PNJL) model and the MIT Bag Model with a color-singletness condition (Bag-CS) for the quark-gluon plasma (QGP). In the former, we analyze the impact of the Vandermonde (VdM) parameter \(K\) K on the Polyakov loop potential and in the latter, we use a switching function for the equations of state of the hadronic and QGP phases to allow for a smooth crossover between the two phases and we examine the role of the bag constant \(B\) B in controlling the stability of the strongly interacting matter. Several physical quantities are calculated in both models, at vanishing chemical potential and finite temperatures. Our findings suggest that small values of the VdM parameter \(K\) K in the PNJL model and large values of the bag constant \(B\) B in the Bag-CS model lead to a better consistent description of the QCD phase transition. There is a good agreement with lattice QCD results for a broad temperature range, and both models have an evident convergence in the crossover region.