Vector interaction, charge neutrality and multiple chiral critical point structures

Abstract

We investigate the combined effect of the repulsive vector interaction and the positive electric chemical potential on the chiral phase transition by considering neutral color superconductivity (CSC). The chiral condensate, diquark condensate and quark number densities are solved in both two-flavor and two-plus-one-flavor Nambu-Jona-Lasinio(NJL) models with the so called Kobayashi-Maskawa-'t Hooft term under the charge neutrality constraint. We demonstrate that multiple chiral critical-point structures always exist in the NJL model within the self-consistent mean-field approximation and the number of chiral critical points can vary from zero to four, which is dependent on the magnitudes of vector interaction and the diquark coupling. The difference between the dynamical chemical potentials induced by vector interaction for u and d quarks can effectively reduce the Fermi sphere disparity between the two flavors of diquark paring. Thus the vector interaction works to significantly suppress the unstable region associated with chromomagnetic instability in the phase of neutral asymmetric homogenous CSC.

version for Phys. Rev. D

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• Role of Vector Interaction and Axial Anomaly in the PNJL Modeling of the QCD Phase Diagram
• The NJL model of dense three-flavor matter with axial anomaly: the low temperature critical point and BEC-BCS diquark crossover
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• Role of two-flavor color superconductor pairing in a three-flavor Nambu--Jona-Lasinio model with axial anomaly
• Tachyonic instability of the scalar mode prior to QCD critical point based on Functional renormalization-group method
• Influence of vector interactions on the favored shape of inhomogeneous chiral condensates
• Fate of chiral critical point under the strong isospin asymmetry
• Functional Renormalization Group Study of Phonon Mode Effects on Chiral Critical Point
• Gluon effects on the equation of state of color superconducting strange stars
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• Correction to the Chiral Magnetic Effect from axial-vector interaction
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• Emergence of soft quark excitations by the coupling with a soft mode of the QCD critical point
• Combined chiral and diquark fluctuations along QCD critical line and enhanced baryon production with parity doubling