On the neutrality issue in the Polyakov-loop NJL model

Abstract

We elucidate how the color neutrality is harmed in the Polyakov Nambu-Jona Lasinio (PNJL) model at finite density within the adopted mean field approximation. Also we point out how usual assumption about the diagonal form of the Wilson loop may fail in the presence of the diquark condensate on several grounds.

8 pages, 1 figure. Introduction enlarged, several comments about the adopted mean field approximation and the relation with Elitzur's theorem added. Version to appear on Phys. Rev. D

References in corpus (23)

• QCD Phenomenology based on a Chiral Effective Lagrangian
• NJL-model analysis of dense quark matter
• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• Chiral effective model with the Polyakov loop
• Diquark Bose Condensates in High Density Matter and Instantons
• The QCD transition temperature: results with physical masses in the continuum limit
• Polyakov loop, diquarks and the two-flavour phase diagram
• Chiral Symmetry Restoration and $Z_N$ Symmetry
• A quark-meson model for nuclear and neutron matter
• Susceptibilities, the Specific Heat and a Cumulant in Two-Flavour QCD
• Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop
• Dense Quarks, and the Fermion Sign Problem, in a SU(N) Matrix Model
• Three flavor Nambu-Jona Lasinio model with Polyakov loop and competition with nuclear matter
• Extensive study of phase diagram for charge neutral homogeneous quark matter affected by dynamical chiral condensation -- unified picture for thermal unpairing transitions from weak to strong coupling --
• Phase of the Fermion Determinant at Nonzero Chemical Potential
• PNJL model with a Van der Monde term
• Scaling Study of the Two-Flavor Chiral Phase Transition with the Kogut-Susskind Quark Action in Lattice QCD
• A note on color neutrality in NJL-type models
• Electrical neutrality and pion modes in the two flavor PNJL model
• Enforced neutrality and color-flavor unlocking in the three-flavor Polyakov-loop NJL model
• Remarks on the multi-parameter reweighting method for the study of lattice QCD at non-zero temperature and density
• Color neutrality effects in the phase diagram of the PNJL model
• Polyakov-Nambu-Jona Lasinio model and Color-Flavor-Locked phase of QCD

Cited by in corpus (16)

• Chiral magnetic effect in the PNJL model
• Dressed Polyakov loop and phase diagram of hot quark matter under magnetic field
• Influence of vector interaction and Polyakov loop dynamics on inhomogeneous chiral symmetry breaking phases
• Gauge dynamics in the PNJL model: Color neutrality and Casimir scaling
• Fluctuation of strongly interacting matter in Polyakov Nambu Jona-Lasinio model in finite volume
• QCD phase diagram at finite baryon and isospin chemical potentials
• Quark Matter in a Strong Magnetic Background
• Dual quark condensate in the Polyakov-loop extended Nambu--Jona-Lasinio model
• Mesonic Excitations of QGP: Study with an Effective Model
• QCD phase diagram at imaginary baryon and isospin chemical potentials
• Correlations among discontinuities in QCD phase diagram
• Meson mass at real and imaginary chemical potentials
• Transport coefficients in a finite volume Polyakov--Nambu--Jona-Lasinio model
• Polyakov--Nambu--Jona-Lasinio model in finite volumes
• Quark Number Susceptibility : Revisited with Fluctuation-Dissipation Theorem in mean field theories
• The QCD Phase Diagram from Chiral Approaches