Hot QCD at finite isospin density: confronting SU(3) Nambu-Jona-Lasinio model with recent lattice data

Abstract

Extending our recently published $SU(2)$ results for zero temperature we now compute the QCD equation of state for finite isospin density within the three flavor Nambu-Jona-Lasinio model in the mean field approximation, motivated by the recently obtained Lattice QCD results for both zero and finite temperatures. Like our previous study, here also we have considered both the commonly used Traditional cutoff Regularization Scheme and the Medium Separation Scheme. Our results are compared with recent high-precision lattice simulations as well as previously obtained results in two-flavor Nambu-Jona-Lasinio model. The agreement between the lattice results and the predictions from three-flavor NJL model is very good for low values of ${\mu }_I$ (for both zero and finite temperatures). For larger values of ${\mu }_I$, the agreement between lattice data and the two-flavor NJL predictions is surprisingly good and better than with the three-flavor predictions.

13 pages, 10 figures

References in corpus (13)

• Color superconductivity in dense quark matter
• 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
• Pion Condensation in Baryonic Matter: from Sarma Phase to Larkin-Ovchinnikov-Fudde-Ferrell Phase
• Inhomogeneous charged pion condensation in chiral asymmetric dense quark matter in the framework of NJL${}_2$ model
• Dualities and inhomogeneous phases in dense quark matter with chiral and isospin imbalances in framework of effective model
• Extension of the Nambu--Jona-Lasinio model at high densities and temperatures by using an implicit regularization scheme
• 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
• Phase Diagram, Scalar-Pseudoscalar Meson Behavior and Restoration of Symmetries in (2+1) Polyakov-Nambu-Jona-Lasinio Model
• The strange critical endpoint and isentropic trajectories in an Extended PNJL Model with Eight Quark Interactions

Cited by in corpus (15)

• 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
• Absence of inhomogeneous chiral phases in 2+1-dimensional four-fermion and Yukawa models
• Deconfinement and chiral phase transitions in quark matter with chiral imbalance
• 3-dimensional QCD phase diagram with pion condensate in the NJL model
• Spatially oscillating correlation functions in $\left(2+1\right)$-dimensional four-fermion models: The mixing of scalar and vector modes at finite density
• On the origin of the peak of the sound velocity for isospin imbalanced strongly interacting matter
• Describing the speed of sound peak of isospin-asymmetric cold strongly interacting matter using effective models
• On the effective lagrangian at nonzero isospin chemical potential
• 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
• Chiral symmetry breaking and pion condensation in the early universe
• Speed of sound peak in two-color dense QCD: confronting effective models with lattice data
• Chiral restoration temperature at finite spin density in QCD
• Dilepton Production as a Probe of Pion Condensation in Hot and Dense QCD Matter