Cold QCD at finite isospin density: confronting effective models with recent lattice data

Abstract

We compute the QCD equation of state for zero temperature and finite isospin density within the Nambu-Jona-Lasinio model in the mean field approximation, motivated by the recently obtained Lattice QCD results for a new class of compact stars: pion stars. We have considered both the commonly used Traditional cutoff Regularization Scheme and the Medium Separation Scheme, where in the latter purely vacuum contributions are separated in such a way that one is left with ultraviolet divergent momentum integrals depending only on vacuum quantities. We have also compared our results with the recent results from Lattice QCD and Chiral Perturbation Theory.

10 pages, 6 figures, replaced with updated version matching the published one

References in corpus (19)

• Color superconductivity in dense quark matter
• QCD phase diagram for nonzero isospin-asymmetry
• BEC-BCS Crossover in the Nambu--Jona-Lasinio Model of QCD
• Thermodynamics of the PNJL model with nonzero baryon and isospin chemical potentials
• Fluctuations in the quark-meson model for QCD with isospin chemical potential
• Scrutinizing the pion condensed phase
• New class of compact stars: Pion stars
• Pion Condensation in Baryonic Matter: from Sarma Phase to Larkin-Ovchinnikov-Fudde-Ferrell Phase
• Pion condensation and phase diagram in the Polyakov-loop quark-meson model
• 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
• QCD at finite isospin chemical potential
• Cosmic QCD Epoch at Nonvanishing Lepton Asymmetry
• 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
• A complex path around the sign problem
• 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
• Multicomponent meson superfluids in chiral perturbation theory
• Regularization issues for a cold and dense quark matter model in $\beta -$equilibrium

Cited by in corpus (26)

• Meson condensation
• Two-flavor chiral perturbation theory at nonzero isospin: Pion condensation at zero temperature
• QCD at finite isospin density: chiral perturbation theory confronts lattice data
• Pion crystals hosting topologically stable baryons
• Thermodynamics and susceptibilities of isospin imbalanced QCD matter
• High-Energy Phase Diagrams with Charge and Isospin Axes under Heavy-Ion Collision and Stellar Conditions
• Dynamics of QCD Matter -- current status
• Hot QCD at finite isospin density: confronting SU(3) Nambu-Jona-Lasinio model with recent lattice data
• 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
• QCD equation of state at finite isospin density from the linear sigma model with quarks: The cold case
• Influence of chiral asymmetry on phase structure of the two-color quark matter
• Quark and pion condensates at finite isospin density in chiral perturbation theory
• Quark, pion and axial condensates in three-flavor finite isospin chiral perturbation theory
• 3-dimensional QCD phase diagram with pion condensate in the NJL model
• 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
• QCD phase diagram at finite isospin and baryon chemical potentials with the self-consistent mean field approximation
• Speed of sound peak in isospin QCD: a natural prediction of the Medium Separation Scheme
• Medium separation scheme effects on the magnetized and cold two-flavor superconducting quark matter
• Speed of sound peak in two-color dense QCD: confronting effective models with lattice data
• Chiral restoration temperature at finite spin density in QCD
• Isospin asymmetric matter in a nonlocal chiral quark model
• Dilepton Production as a Probe of Pion Condensation in Hot and Dense QCD Matter
• Light mesons around critical end points in $T-{\mu }_B-{\mu }_I-eB$ space