Pion condensation and phase diagram in the Polyakov-loop quark-meson model

Abstract

We use the Polyakov-loop extended two-flavor quark-meson model as a low-energy effective model for QCD to study the phase diagram in the ${\mu }_I$--$T$ plane where ${\mu }_I$ is the isospin chemical potential. In particular, we focus on the Bose condensation of charged pions. At $T=0$, the onset of pion condensation is at ${\mu }_I=\frac{1}{2}{m}_{\pi }$ in accordance with exact results. The phase transition to a Bose-condensed phase is of second order for all values of ${\mu }_I$ and in the $O(2)$ universality class. The chiral critical line joins the critical line for pion condensation at a point whose position depends on the Polyakov-loop potential and the sigma mass. For larger values of ${\mu }_I$ these curves are on top of each other. The deconfinement line enters smoothly the phase with the broken $O(2)$ symmetry. We compare our results with recent lattice simulations and find overall good agreement.

11 pages and 6 figs. arXiv admin note: substantial text overlap with arXiv:1802.01832

References in corpus (11)

• Color superconductivity in dense quark matter
• The QCD transition temperature: results with physical masses in the continuum limit
• The QCD transition temperature: results with physical masses in the continuum limit II.
• The Phase Structure of the Polyakov--Quark-Meson Model
• QCD phase diagram for nonzero isospin-asymmetry
• BEC-BCS Crossover in the Nambu--Jona-Lasinio Model of QCD
• Fluctuations in the quark-meson model for QCD with isospin chemical potential
• Scrutinizing the pion condensed phase
• Pion Condensation in Baryonic Matter: from Sarma Phase to Larkin-Ovchinnikov-Fudde-Ferrell Phase
• QCD at finite isospin chemical potential
• Chiral density wave versus pion condensation at finite density

Cited by in corpus (38)

• Meson condensation
• Pion condensation in the early Universe at nonvanishing lepton flavor asymmetry and its gravitational wave signatures
• Two-flavor chiral perturbation theory at nonzero isospin: Pion condensation at zero temperature
• QCD at finite isospin density: chiral perturbation theory confronts lattice data
• Chiral imbalanced hot and dense quark matter: NJL analysis at the physical point and comparison with lattice QCD
• Cold QCD at finite isospin density: confronting effective models with recent lattice data
• Charged pion condensation and duality in dense and hot chirally and isospin asymmetric quark matter in the framework of NJL${}_2$ model
• Sound velocity peak and conformality in isospin QCD
• High-Energy Phase Diagrams with Charge and Isospin Axes under Heavy-Ion Collision and Stellar Conditions
• Hot QCD at finite isospin density: confronting SU(3) Nambu-Jona-Lasinio model with recent lattice data
• Rotation induced charged pion condensation in a strong magnetic field: A Nambu--Jona-Lasino model study
• Condensates and pressure of two-flavor chiral perturbation theory at nonzero isospin and temperature
• Pion and kaon condensation at zero temperature in three-flavor $\chi$PT at nonzero isospin and strange chemical potentials at next-to-leading order
• Magnetic Vortex Lattices in Finite Isospin Chiral Perturbation Theory
• QCD equation of state at finite isospin density from the linear sigma model with quarks: The cold case
• Multicomponent meson superfluids in chiral perturbation theory
• Influence of chiral asymmetry on phase structure of the two-color quark matter
• QCD phase diagram at finite isospin chemical potential and temperature in an IR-improved soft-wall AdS/QCD model
• Deconfinement and chiral phase transitions in quark matter with chiral imbalance
• Electrical neutrality and $\beta$-equilibrium conditions in dense quark matter: generation of charged pion condensation by chiral imbalance
• 3-dimensional QCD phase diagram with pion condensate in the NJL model
• Critical point and Bose-Einstein condensation in pion matter
• On-shell versus curvature mass parameter fixing schemes in the quark-meson model and its phase diagrams
• Describing the speed of sound peak of isospin-asymmetric cold strongly interacting matter using effective models
• Thermal effects on sound velocity peak and conformality in isospin QCD
• On the origin of the peak of the sound velocity for isospin imbalanced strongly interacting matter
• Pion stars embedded in neutrino clouds
• Gluon Propagators in $2+1$ Lattice QCD with Nonzero Isospin Chemical Potential
• Pion superfluid phase transition under external magnetic field including inverse magnetic catalysis effect
• Magnetic field effect on pion superfluid
• Phase diagram of interacting pion matter and isospin charge fluctuations
• Bubble nucleation in the two-flavor quark-meson model
• Phonon modes of magnetic vortex lattices in finite isospin chiral perturbation theory
• Chiral symmetry breaking and pion condensation in the early universe
• Dirac spectrum and the BEC-BCS crossover in QCD at nonzero isospin asymmetry
• An Effective Model for Glueballs and Dual Superconductivity at Finite Temperature
• Multicomponent superfluidity in two-color QCD at finite density at next-to-leading order
• Light mesons around critical end points in $T-{\mu }_B-{\mu }_I-eB$ space