Thermodynamics and susceptibilities of isospin imbalanced QCD matter

Abstract

We study the thermodynamics and the susceptibilities of quark matter in the framework of two-flavor Nambu-Jona-Lasinio model at finite isospin chemical potential and temperature. Isospin number density, normalized energy density and trace anomaly are shown to be in good agreement with the available lattice data as well as with the results from chiral perturbation theory at zero temperature. We also study how susceptibilities depend on the isospin chemical potential and on temperature. We find a peak for the chiral, pion, and isospin susceptibilities at the critical isospin chemical potential, ${\mu }_I^c(T)$, at the boundary of the phase transition between the normal and pion superfluid phase. Moreover, temperature makes the transition from normal to pion condended phase smoother. We also note that the pion susceptibility always remains zero in the normal phase while it is finite in the superfluid phase.

arXiv comment8 pages, 6 figures. updated to match EPJC version

References in corpus (74)

• QCD Phenomenology based on a Chiral Effective Lagrangian
• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• The chiral and deconfinement aspects of the QCD transition
• Full result for the QCD equation of state with 2+1 flavors
• Signatures of the Tricritical Point in QCD
• The phase diagram of dense QCD
• The QCD equation of state with dynamical quarks
• The QCD transition temperature: results with physical masses in the continuum limit
• On the Phase Diagram of QCD
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• QCD at finite isospin density
• Fluctuation Probes of Quark Deconfinement
• Charged Particle Ratio Fluctuation as a Signal for QGP
• Universality, the QCD critical/tricritical point and the quark number susceptibility
• QCD Thermodynamics with Three Flavors of Improved Staggered Quarks
• Lattice QCD at finite isospin density at zero and finite temperature
• Lattice QCD at Finite Density -- An introductory review
• Susceptibilities, the Specific Heat and a Cumulant in Two-Flavour QCD
• Pion Superfluidity and Meson Properties at Finite Isospin Density
• Equation of State for physical quark masses
• Phase diagram and critical endpoint for strongly-interacting quarks
• QCD-like Theories at Finite Baryon and Isospin Density
• QCD phase diagram for nonzero isospin-asymmetry
• BEC-BCS Crossover in the Nambu--Jona-Lasinio Model of QCD
• Sigma and hydrodynamic modes along the critical line
• Thermal Pions at Finite Isospin Chemical Potential
• Diagonal and off-diagonal quark number susceptibilities at high temperatures
• Scalar density fluctuation at critical end point in NJL model
• Quark number susceptibilities: lattice QCD versus PNJL model
• Lattice QCD at non-zero isospin chemical potential
• Meson condensation
• Scrutinizing the pion condensed phase
• Phase Structure of Nambu-Jona-Lasinio Model at Finite Isospin Density
• Thermodynamics and critical behavior in the Nambu-Jona-Lasinio model of QCD
• The NJL model of dense three-flavor matter with axial anomaly: the low temperature critical point and BEC-BCS diquark crossover
• Susceptibilities and screening masses in two flavor QCD
• Three-flavor Nambu--Jona-Lasinio model at finite isospin chemical potential
• New class of compact stars: Pion stars
• Pion Condensation in Baryonic Matter: from Sarma Phase to Larkin-Ovchinnikov-Fudde-Ferrell Phase
• The fate of pion condensation in quark matter: from the chiral limit to the physical pion mass
• Quark number susceptibilities, strangeness and dynamical confinement
• The Critical End Point of Quantum Chromodynamics Detected by Chirally Imbalanced Quark Matter
• Thermodynamics of (2+1)-flavor strongly interacting matter at nonzero isospin
• QCD phase diagram at finite baryon and isospin chemical potentials in Polyakov loop extended quark meson model with vector interaction
• Color superconductivity vs. pseudoscalar condensation in a three-flavor NJL model
• Phase transition and critical end point driven by an external magnetic field in asymmetric quark matter
• Two-flavor chiral perturbation theory at nonzero isospin: Pion condensation at zero temperature
• Influence of the inverse magnetic catalysis and the vector interaction in the location of the critical end point
• Study of the finite temperature transition in 3-flavor QCD using the R and RHMC algorithms
• QCD at finite isospin chemical potential
• Cold QCD at finite isospin density: confronting effective models with recent lattice data
• Critical Endpoint and Inverse Magnetic Catalysis for Finite Temperature and Density Quark Matter in a Magnetic Background
• Quark number susceptibility around the critical end point
• Intriguing aspects of meson condensation
• Relativistic BCS-BEC Crossover at Zero Temperature
• Equation of state of imbalanced cold matter from chiral perturbation theory
• Critical behaviors near the (tri-)critical end point of QCD within the NJL model
• Two-flavor condensates in chiral dynamics: temperature and isospin density effects
• The linear sigma model at a finite isospin chemical potential
• Chiral Susceptibility in Hard Thermal Loop Approximation
• Relation Between Chiral Susceptibility and Solutions of Gap Equation in Nambu--Jona-Lasinio Model
• Finite Isospin Chiral Perturbation Theory in a Magnetic Field
• Enhancement of Chiral Symmetry Breaking from the Pion condensation at finite isospin chemical potential in a holographic QCD model
• Magnetic Vortex Lattices in Finite Isospin Chiral Perturbation Theory
• Enhancement of quark number susceptibility with an alternative pattern of chiral symmetry breaking in dense matter
• Multicomponent meson superfluids in chiral perturbation theory
• Structure of Compact Stars in Pion Superfluid Phase
• Pionic BEC--BCS crossover at finite isospin chemical potential
• The presence of a critical end point in the QCD phase diagram from the net-baryon number fluctuations
• A model study of quark number susceptibility at finite temperature beyond rainbow-ladder approximation
• Chiral density wave versus pion condensation in the 1+1 dimensional NJL model
• Quark Number Susceptibility and QCD Phase Transition in the Predictive Soft-wall AdS/QCD Model with Finite Temperature
• Spectrum of QCD at Finite Isospin Density
• LQCD at non zero isospin chemical potential

Cited by in corpus (16)

• Meson condensation
• QCD at finite isospin density: chiral perturbation theory confronts lattice data
• Pion crystals hosting topologically stable baryons
• 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
• 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
• How the QCD trace anomaly behaves at the core of twin stars?
• Describing the speed of sound peak of isospin-asymmetric cold strongly interacting matter using effective models
• QCD topology and axion properties in an isotropic hot and dense medium
• Thermal effects on sound velocity peak and conformality in isospin QCD
• On the effective lagrangian at nonzero isospin chemical potential
• Chiral effective model of cold and dense two-color QCD: The linear sigma model approach
• Speed of sound peak in isospin QCD: a natural prediction of the Medium Separation Scheme
• Isospin asymmetric matter in a nonlocal chiral quark model
• Dilepton Production as a Probe of Pion Condensation in Hot and Dense QCD Matter