The fate of pion condensation in quark matter: from the chiral limit to the physical pion mass

Abstract

We study aspects of the pion condensation in two-flavor neutral quark matter using the Nambu--Jona-Lasinio model of QCD at finite density. We investigate the role of electric charge neutrality, and explicit symmetry breaking via quark mass, both of which control the onset of the charged pion $({\pi }^c)$ condensation. We show that the equality between the electric chemical potential and the in-medium pion mass, ${\mu }_e=M_{{\pi }^{-}}$, as a threshold, persists even for a composite pion system in the medium, provided the transition to the pion condensed phase is of the second order. Moreover, we find that the pion condensate in neutral quark matter is extremely fragile to the symmetry breaking effect via a current quark mass $m$, and is ruled out for $m$ larger than the order of 10 keV.

6 pages, 4 figures, RevTex4, (v2) title changed, Fig. 1 replaced, fourth section enlarged, references added, version accepted for publication in Phys. Rev. D, (v3) typos corrected, published version

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Cited by in corpus (52)

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• Two-flavor chiral perturbation theory at nonzero isospin: Pion condensation at zero temperature
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• 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
• Inhomogeneous charged pion condensation in chiral asymmetric dense quark matter in the framework of NJL${}_2$ model
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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
• Pion condensation in the Gross-Neveu model with nonzero baryon and isospin chemical potentials
• Properties of the massive Gross-Neveu model with nonzero baryon and isospin chemical potentials
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• Chiral density wave versus pion condensation at finite density
• Thermodynamics and susceptibilities of isospin imbalanced QCD matter
• Neutral pion and $\eta$ meson production at mid-rapidity in Pb-Pb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV
• High-Energy Phase Diagrams with Charge and Isospin Axes under Heavy-Ion Collision and Stellar Conditions
• Functional renormalization group at finite density and Bose condensation
• Duality between chiral symmetry breaking and charged pion condensation at large $N_c$: Consideration of an NJL${}_2$ model with baryon-, isospin- and chiral isospin chemical potentials
• Possibility of s-wave pion condensates in neutron stars revisited
• Magnetic catalysis of a charged Bose-Einstein condensate
• Pion condensation in a dense neutrino gas
• Charged pion condensation in dense quark matter: Nambu--Jona-Lasinio model study
• Hot QCD at finite isospin density: confronting SU(3) Nambu-Jona-Lasinio model with recent lattice data
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• Condensates and pressure of two-flavor chiral perturbation theory at nonzero isospin and temperature
• Ginzburg-Landau phase diagram of QCD near chiral critical point - chiral defect lattice and solitonic pion condensate -
• Pion and kaon condensation at zero temperature in three-flavor $\chi$PT at nonzero isospin and strange chemical potentials at next-to-leading order
• QCD equation of state at finite isospin density from the linear sigma model with quarks: The cold case
• Topological Susceptibility in Three-Flavor Quark Meson Model at Finite Temperature
• BCS-BEC crossover in relativistic Fermi systems
• Influence of chiral asymmetry on phase structure of the two-color quark matter
• Fate of chiral critical point under the strong isospin asymmetry
• Neutral quark matter in a Nambu-Jona Lasinio model with vector interaction
• Pionic BEC--BCS crossover at finite isospin chemical potential
• Quark-antiquark Scattering Phase Shift and Meson Spectral Function in Pion Superfluid
• Electrical neutrality and $\beta$-equilibrium conditions in dense quark matter: generation of charged pion condensation by chiral imbalance
• Describing the speed of sound peak of isospin-asymmetric cold strongly interacting matter using effective models
• On the origin of the peak of the sound velocity for isospin imbalanced strongly interacting matter
• Affinity of NJL${}_2$ and NJL${}_4$ model results on duality and pion condensation in chiral asymmetric dense quark matter
• Speed of sound peak in isospin QCD: a natural prediction of the Medium Separation Scheme
• Bose-Einstein condensation in dense quark matter
• Generalized Nambu-Goldstone pion in dense matter: a schematic NJL model
• Pion Condensation in a two-flavor NJL model: the role of charge neutrality
• Pion superfluid phase transition at finite isospin chemical potential
• Dilepton Production as a Probe of Pion Condensation in Hot and Dense QCD Matter