Pion condensation in quark matter with finite baryon density

Abstract

The phase structure of the Nambu -- Jona-Lasinio model at zero temperature and in the presence of baryon- and isospin chemical potentials is investigated. It is shown that in the chiral limit and for a wide range of model parameters there exist two different phases with pion condensation. In the first, ordinary phase, quarks are gapped particles. In the second, gapless pion condensation phase, there is no energy cost for creating only $u$- or both $u$ and $d$ quarks, and the density of baryons is nonzero.

7 pages, 6 figures; two references added

References in corpus (5)

• Pion Superfluidity and Meson Properties at Finite Isospin Density
• Phase Structure of Nambu-Jona-Lasinio Model at Finite Isospin Density
• Pion, sigma-meson and diquarks in the 2SC phase of dense cold quark matter
• The phases of isospin asymmetric matter in the two flavor NJL model
• Mesons and diquarks in the color neutral 2SC phase of dense cold quark matter

Cited by in corpus (73)

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• Pion and Kaon Condensation at Finite Temperature and Density
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• Linear sigma model at finite density in the 1/N expansion to next-to-leading order
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• Dualities in dense quark matter with isospin, chiral and chiral isospin imbalance in the framework of the large-N${}_c$ limit of the NJL${}_4$ model
• Two-flavor chiral perturbation theory at nonzero isospin: Pion condensation at zero temperature
• On the possibility of P-violation at finite baryon-number densities
• Chiral density waves in the NJL${}_2$ model with quark number and isospin chemical potentials
• 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
• Finite Temperature Phase Diagram of a Two-Component Fermi Gas with Density Imbalance
• Inhomogeneous charged pion condensation in chiral asymmetric dense quark matter in the framework of NJL${}_2$ model
• The Linear Sigma Model and the formation of a charged pion condensate in the presence of an external magnetic field
• Finite-size effects in pion condensation phenomena of dense baryonic matter in the NJL${}_2$ model
• Cold QCD at finite isospin density: confronting effective models with recent lattice data
• Dense baryon matter with isospin and chiral imbalance in the framework of NJL${}_4$ model at large $N_c$: duality between chiral symmetry breaking and charged pion condensation
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• Intriguing aspects of meson condensation
• Equation of state of imbalanced cold matter from chiral perturbation theory
• Properties of the massive Gross-Neveu model with nonzero baryon and isospin chemical potentials
• Deconfinement Transition at High Isospin Chemical Potential and Low Temperature
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• Charged pion condensation and duality in dense and hot chirally and isospin asymmetric quark matter in the framework of NJL${}_2$ model
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• Chiral density wave versus pion condensation at finite density
• High-Energy Phase Diagrams with Charge and Isospin Axes under Heavy-Ion Collision and Stellar Conditions
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• Enhancement of Chiral Symmetry Breaking from the Pion condensation at finite isospin chemical potential in a holographic QCD model
• QCD equation of state at finite isospin density from the linear sigma model with quarks: The cold case
• Stable Sarma State in Two-band Fermi Systems
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• Influence of chiral asymmetry on phase structure of the two-color quark matter
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• Sarma phase in relativistic and non-relativistic systems
• Neutral quark matter in a Nambu-Jona Lasinio model with vector interaction
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• 3-dimensional QCD phase diagram with pion condensate in the NJL model
• The sign problem across the QCD phase transition
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• Describing the speed of sound peak of isospin-asymmetric cold strongly interacting matter using effective models
• Gluon Propagators in $2+1$ Lattice QCD with Nonzero Isospin Chemical Potential
• Quarkyonic picture of isospin QCD
• Dense quark matter with chiral and isospin imbalance: NJL-model consideration
• Spontaneous non-Hermiticity in the (2+1)-dimensional Thirring model
• Speed of sound peak in isospin QCD: a natural prediction of the Medium Separation Scheme
• Affinity of NJL${}_2$ and NJL${}_4$ model results on duality and pion condensation in chiral asymmetric dense quark matter
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• Chiral symmetry breaking and pion condensation in the early universe
• Response functions of hot and dense matter in the Nambu-Jona-Lasino model
• Dilepton Production as a Probe of Pion Condensation in Hot and Dense QCD Matter