Phase diagram of chiral quark matter: color and electrically neutral Fulde-Ferrell phase

Abstract

The phase diagram of charge and color neutral two-flavor color superconducting quark matter is studied including the homogeneous two-flavor superconductor (2SC) and the inhomogeneous Fulde-Ferrell (FF) phases within the Nambu-Jona-Lasinio model. The low-temperature domain T < 5 MeV of the phase diagram contains the FF phase, which borders at high temperatures to the 2SC phase. The critical temperature of phase transition from the 2SC to the unpaired state is in the range 20-30 MeV. We derive the equation of state of matter and its composition and show that matter in mature compact stars should be in the inhomogeneous FF-like superconducting state. We briefly discuss the astrophysical implications of such a phase in compact stars.

arXiv commentv2: typos corrected, 8 pages, 1 figure; v3: minor corrections, matches published version

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• Thermal evolution of massive compact objects with dense quark cores
• Cooling compact stars and phase transitions in dense QCD
• The shear viscosity of two-flavor crystalline color superconducting quark matter
• Multiple phase separation in one-dimensional mixtures of mass- and population-imbalanced attractive Fermi gases
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