Chiral phase transition in an extended NJL model with higher-order multi-quark interactions

Abstract

The chiral phase transition is studied in an extended Nambu--Jona-Lasinio model with eight-quark interactions. Equations for scalar and vector quark densities, derived in the mean field approximation, are nonlinear and mutually coupled. The scalar-type nonlinear term hastens the restoration of chiral symmetry, while the scalar-vector mixing term makes the transition sharper. The scalar-type nonlinear term shifts the critical endpoint toward the values predicted by lattice QCD simulations and the QCD-like theory.

11pages, 7 figures

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• Vector interaction strength in Polyakov-Nambu-Jona-Lasinio models from hadron-quark phase diagrams
• The phase diagram for the Nambu--Jona-Lasinio model with 't Hooft and eight-quark interactions
• Heavy hybrid stars from multi-quark interactions
• Chirally improved quark Pauli blocking in nuclear matter and applications to quark deconfinement in neutron stars
• QCD phase diagram at imaginary baryon and isospin chemical potentials
• Theta vacuum effects on QCD phase diagram
• Correlations among discontinuities in QCD phase diagram
• Effects of a multi-quark interaction on color superconducting phase transition in an extended NJL model
• Vector meson spectral function and dilepton production rate in a hot and dense medium within an effective QCD approach
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• Repulsive force by vector mesons and quark-hadron phase transition