Quark Number Fluctuations in a Chiral Model at Finite Baryon Chemical Potential

Abstract

We discuss the net quark and isovector fluctuations as well as off-diagonal quark flavor susceptibilities along the chiral phase transition line in the Nambu--Jona-Lasinio (NJL) model. The model is formulated at non-zero quark and isospin chemical potentials with non-vanishing vector couplings in the iso-scalar and iso-vector channels. We study the influence of the quark chemical potential on the quark flavour susceptibilities in detail and the dependence of the results on model parameters as well as on the quark mass. The NJL model findings are compared with recent lattice results obtained in two--flavor QCD at finite chemical potential. On a qualitative level, the NJL model provides a consistent description of the dependence of quark number fluctuations on temperature and baryon chemical potential. The phase diagram and the position of the tricritical point in the NJL model are also discussed for different parameter sets.

33 pages, 11 figures; final version accepted for publication in Phys. Rev. D

References in corpus (1)

• Susceptibilities and speed of sound from PNJL model

Cited by in corpus (37)

• Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops
• The phase structure of the Polyakov--quark-meson model beyond mean field
• The renormalization group and quark number fluctuations in the Polyakov loop extended quark-meson model at finite baryon density
• Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop
• Thermodynamics of the PNJL model with nonzero baryon and isospin chemical potentials
• Bulk viscosity in quasi particle models
• Three flavor Nambu-Jona Lasinio model with Polyakov loop and competition with nuclear matter
• Thermodynamics and critical behavior in the Nambu-Jona-Lasinio model of QCD
• Density fluctuations in the presence of spinodal instabilities
• Chiral phase transition in the presence of spinodal decomposition
• Quark magnetar in three-flavor Nambu--Jona-Lasinio model with vector interaction and magnetized gluon potential
• Fluctuation of strongly interacting matter in Polyakov Nambu Jona-Lasinio model in finite volume
• Electrical neutrality and pion modes in the two flavor PNJL model
• Kurtosis and compressibility near the chiral phase transition
• Modeling Finite-Volume Effects and Chiral Symmetry Breaking in Two-Flavor QCD Thermodynamics
• Toward a unified equation of state for multi-messenger astronomy
• Flavor Diagonal and Off-Diagonal Susceptibilities in a Quasiparticle Model of the Quark-Gluon Plasma
• Phase diagram evolution at finite coupling in strong coupling lattice QCD
• Quark Deconfinement in Rotating Neutron Stars
• Mean field approach to flavor susceptibilities with a vector interaction
• Thermal twin stars within a hybrid equation of state based on a nonlocal chiral quark model compatible with modern astrophysical observations
• Probing the QCD vacuum with an abelian chromomagnetic field: A study within an effective model
• Supernova Equation of State with an extended SU(3) Quark-Meson Model
• Quark Number Susceptibility : Revisited with Fluctuation-Dissipation Theorem in mean field theories
• Effects of the Regularization on the Restoration of Chiral and Axial Symmetries
• Quark Potential in a Quark-Meson Plasma
• Momentum scale dependence of the net quark number fluctuations near chiral crossover
• Spatially oscillating correlation functions in $\left(2+1\right)$-dimensional four-fermion models: The mixing of scalar and vector modes at finite density
• Chiral phase transition and kaon-to-pion ratios in the entanglement SU(3) PNJL model
• Experimental results on charge fluctuations in heavy-ion collisions
• QCD phase diagram and charge fluctuations
• The Chiral Phase Transitions of Helical Matter
• Challenges in locating the QCD critical point via constant entropy density contours
• Phase diagram and pion modes of the neutral Nambu-Jona Lasinio model with the Polyakov loop
• Density Fluctuations as Signature of a Non--Equilibrium First Order Phase Transition
• Density fluctuations and a first-order chiral phase transition in non-equilibrium
• Dilepton Production as a Probe of Pion Condensation in Hot and Dense QCD Matter