Quark Condensation, Induced Symmetry Breaking and Color Superconductivity at High Density

Abstract

The phase structure of hadronic matter at high density relevant to the physics of compact stars and relativistic heavy-ion collisions is studied in a low-energy effective quark theory. The relevant phases that figure are (1) chiral condensation, (2) diquark color condensation (color superconductivity) and (3) induced Lorentz-symmetry breaking (ISB). For reasonable strengths for four-Fermi interactions implied by one-gluon exchange quark interactions as well as instanton-mediated interactions, we find that the ISB phase sets in at a moderate density while the quark condensate vanishes, followed by color superconductivity associated with scalar diquark condensation appearing only at an asymptotic density. Lack of confinement in the model makes the result of this analysis only qualitative but the hierarchy of the transitions we find seems to be quite robust.

28 pages, discussions on the role of Fierz transformations of quark interactions added, some minor errors corrected

References in corpus (8)

• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• Diquark Bose Condensates in High Density Matter and Instantons
• Kaons in dense matter, kaon production in heavy-ion collisions, and kaon condensation in neutron stars
• Kaon production in heavy-ion collisions and maximum mass of neutron stars
• A New State Of Hadronic Matter At High Density
• Developments in Finite Temperature QCD on the Lattice with Dynamical Quarks
• Confinement in Covariant Gauges
• Induced symmetry breaking and a new phase of hadronic matter at high density

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• Massive Quark Propagator in the Color-superconducting Phase
• Massive quark propagator and competition between chiral and diquark condensate
• Color superconductivity vs. pseudoscalar condensation in a three-flavor NJL model
• Thermodynamics of the 3-flavor NJL model : chiral symmetry breaking and color superconductivity
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• Static properties of chiral models with SU(3) group structure
• Chromomagnetic Catalysis of Color Superconductivity in a (2+1)-dimensional NJL Model
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• Restoration of Dynamically Broken Chiral and Color Symmetries for an Accelerated Observer
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• Color superconductivity in the static Einstein Universe
• Fermi-Einstein condensation in dense QCD-like theories
• A novel spectral broadening from vector--axial-vector mixing in dense matter
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• Spectral Function of Quarks in Quark Matter
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• BCS vs Overhauser pairing in dense (2+1)d QCD