Effective models of two-flavor QCD: from small towards large $m_q$

Abstract

We study effective models of chiral fields and Polyakov loop expected to describe the dynamics responsible for the phase structure of two-flavor QCD. We consider chiral sector described either using linear sigma model or Nambu-Jona-Lasinio model and study how these models, on the mean-field level when coupled with the Polyakov loop, behave as a function of increasing bare quark (or pion) mass. We find qualitatively similar behaviors for the cases of linear sigma model and Nambu-Jona-Lasinio model and, relating to existing lattice data, show that one cannot conclusively decide which or the two approximate symmetries drives the phase transitions near the physical point.

References in corpus (8)

• The Phase Structure of the Polyakov--Quark-Meson Model
• The chiral and deconfinement crossover transitions: PNJL model beyond mean field
• Quark number susceptibilities: lattice QCD versus PNJL model
• Thermodynamics and critical behavior in the Nambu-Jona-Lasinio model of QCD
• Determination of QCD phase diagram from the imaginary chemical potential region
• The QCD critical end point in the PNJL model
• Degrees of freedom and the phase transitions of two flavor QCD
• Polyakov loop and the color-flavor locked phase of Quantum Chromodynamics

Cited by in corpus (18)

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• Vacuum fluctuations and the thermodynamics of chiral models
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• Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models
• The Critical End Point of Quantum Chromodynamics Detected by Chirally Imbalanced Quark Matter
• Revisiting the Phase Structure of the Polyakov-quark-meson Model in the presence of Vacuum Fermion Fluctuation
• Quark-mass dependence of the three-flavor QCD phase diagram at zero and imaginary chemical potential: Model prediction
• Effective models of two-flavor QCD: finite $\mu$ and $m_q$-dependence
• Theta vacuum and entanglement interaction in the three-flavor Polyakov-loop extended Nambu-Jona-Lasinio model
• Comparing symmetry restoration trends for meson masses and mixing angles in the QCD-like three quark flavor models
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• Exploring criticality in the QCD-like two quark flavour models
• Exploring axial $U(1)$ restoration in a modified 2+1 flavor Polyakov quark meson model
• Restoration of chiral symmetry in the large-N_c limit
• Deconfinement vs. chiral symmetry and higher representation matter
• On-shell versus curvature mass parameter fixing schemes in the quark-meson model and its phase diagrams
• Mass dependence of the deconfinement and chiral restoration critical temperatures in nonlocal SU(2) PNJL models
• Nucleon Properties at Finite Temperature in the Extended Quark-Sigma Model