Effects of a multi-quark interaction on color superconducting phase transition in an extended NJL model

Abstract

We study the interplay of the chiral and the color superconducting phase transitions in an extended Nambu--Jona-Lasinio model with a multi-quark interaction that produces the nonlinear chiral-diquark coupling. We observe that this nonlinear coupling adds up coherently with the ω^2 interaction to produce the chiral-color superconductivity coexistence phase or cancel each other depending on its sign. We discuss that large coexistence region in the phase diagram is consistent with the quark-diquark picture for the nucleon whereas its smallness is the prerequisite for the applicability of the Ginzburg-Landau approach.

9 pages, 3 figures

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• Phase diagram in the imaginary chemical potential region and extended Z3 symmetry
• Roberge-Weiss phase transition and its endpoint
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• Quark-mass dependence of the three-flavor QCD phase diagram at zero and imaginary chemical potential: Model prediction
• Vector-type four-quark interaction and its impact on QCD phase structure
• Lepton effects on the proto-neutron stars with the hadron-quark mixed phase in the Nambu-Jona-Lasinio model
• Hot hadron-quark mixed phase including hyperons
• The phase diagram for the Nambu--Jona-Lasinio model with 't Hooft and eight-quark interactions
• Heavy hybrid stars from multi-quark interactions
• Tidal deformability of strange stars and the GW170817 event
• QCD phase diagram at imaginary baryon and isospin chemical potentials
• Theta vacuum effects on QCD phase diagram
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• Theta vacuum and entanglement interaction in the three-flavor Polyakov-loop extended Nambu-Jona-Lasinio model
• Meson mass at real and imaginary chemical potentials
• Average phase factor in the PNJL model
• Neutral quark matter in a Nambu-Jona Lasinio model with vector interaction
• Gluon effects on the equation of state of color superconducting strange stars
• Violations of parity and charge conjugation in the theta vacuum with imaginary chemical potential
• Spontaneous parity and charge-conjugation violations at real isospin and imaginary baryon chemical potentials
• SU(2) higher-order effective quark interactions from polarization