A PNJL model in 0+1 Dimensions

Abstract

We formulate the Polyakov-Nambu-Jona-Lasinio (PNJL) model in 0+1 dimensions. The thermodynamics captured by the partition function yields a bulk pressure, as well as quark susceptibilities versus temperature that are similar to the ones in 3+1 dimensions. Around the transition temperature the behavior in the pressure and quark susceptibilities follows from the interplay between the lowest Matsubara frequency and the Polyakov line. The reduction to the lowest Matsubara frequency yields a matrix Model. In the presence of the Polyakov line the UV part of the Dirac spectrum features oscillations when close to the transition temperature.

18 pages, 13 figures

References in corpus (41)

• Chiral effective model with the Polyakov loop
• Phases of QCD: lattice thermodynamics and a field theoretical model
• The Phase Structure of the Polyakov--Quark-Meson Model
• Polyakov loop, diquarks and the two-flavour phase diagram
• Phase diagrams in the three-flavor Nambu--Jona-Lasinio model with the Polyakov loop
• Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops
• Chiral Symmetry Restoration and $Z_N$ Symmetry
• Polyakov loop in chiral quark models at finite temperature
• Susceptibilities and speed of sound from PNJL model
• Mesonic correlation functions at finite temperature and density in the Nambu-Jona-Lasinio model with a Polyakov loop
• 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential
• The chiral and deconfinement crossover transitions: PNJL model beyond mean field
• Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop
• Confinement versus Chiral Symmetry
• Thermodynamics of the PNJL model
• Thermodynamics of the PNJL model with nonzero baryon and isospin chemical potentials
• Critical endpoint in the Polyakov-loop extended NJL model
• Three flavor Nambu-Jona Lasinio model with Polyakov loop and competition with nuclear matter
• Quark number susceptibilities: lattice QCD versus PNJL model
• Polyakov loop extended NJL model with imaginary chemical potential
• A random matrix model for chiral symmetry breaking
• PNJL model with a Van der Monde term
• Model study of the sign problem in the mean-field approximation
• Nonlocal SU(3) chiral quark models at finite temperature: the role of the Polyakov loop
• Law of addition in random matrix theory
• Coupling of pion condensate, chiral condensate and Polyakov loop in an extended NJL model
• Phase diagram in the imaginary chemical potential region and extended Z3 symmetry
• Linking the chiral and deconfinement phase transitions
• Chiral Lagrangian at finite temperature from the Polyakov-Chiral Quark Model
• The chiral phase transition in a random matrix model with molecular correlations
• Electrical neutrality and pion modes in the two flavor PNJL model
• Degrees of freedom and the phase transitions of two flavor QCD
• Effects of mesonic correlations in the QCD phase transition
• Vector-type four-quark interaction and its impact on QCD phase structure
• Enforced neutrality and color-flavor unlocking in the three-flavor Polyakov-loop NJL model
• Polyakov loop and the color-flavor locked phase of Quantum Chromodynamics
• Color neutrality effects in the phase diagram of the PNJL model
• Chiral Random Matrix Models : Thermodynamics, Phase Transitions and Universality
• Effective potentials, thermodynamics, and twisted mass quarks
• QCD-Inspired Spectra from Blue's Functions
• A Four-Fermi Model in 0+1 Dimensions in Matter

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• Hydrodynamics of the Polyakov Line in SU$(N_c)$ Yang-Mills