Random matrix model at nonzero chemical potentials with anomaly effects

Abstract

Phase diagram of the chiral random matrix model with U(1)A breaking term is studied with the quark chemical potentials varied independently at zero temperature, by taking the chiral and meson condensates as the order parameters. Although, without the U(1)A breaking term, chiral transition of each flavor can happen separately responding to its chemical potential, the U(1)A breaking terms mix the chiral condensates and correlate the phase transitions. In the three flavor case, we find that there are mixings between the meson and chiral condensates due to the U(1)A anomaly, which makes the meson condensed phase more stable. Increasing the hypercharge chemical potential (${\mu }_Y$) with the isospin and quark chemical potentials (${\mu }_I$, ${\mu }_q$) kept small, we observe that the kaon condensed phase becomes the ground state and at the larger ${\mu }_Y$ the pion condense phase appears unexpectedly, which is caused by the competition between the chiral restoration and the meson condensation. The similar happens when ${\mu }_Y$ and ${\mu }_I$ are exchanged, and the kaon condensed phase becomes the ground state at larger ${\mu }_I$ below the full chiral restoration.

arXiv comment12 pages, 8 figures

References in corpus (29)

• Color superconductivity in dense quark matter
• On the Phase Diagram of QCD
• QCD at finite isospin density
• Random matrix theory and spectral sum rules for the Dirac operator in QCD
• Random Matrix Theory and Chiral Symmetry in QCD
• Pion Superfluidity and Meson Properties at Finite Isospin Density
• Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson model
• Chiral symmetry and density wave in quark matter
• New Critical Point Induced by the Axial Anomaly in Dense QCD
• Kaon Condensation and Goldstone's Theorem
• How many phases meet at the chiral critical point?
• Flavor-Mixing Effects on the QCD Phase Diagram at non-vanishing Isospin Chemical Potential: One or Two Phase Transitions?
• Isospin Chemical Potential and the QCD Phase Diagram at Nonzero Temperature and Baryon Chemical Potential
• QCD at small non-zero quark chemical potentials
• A calculation of the QCD phase diagram at finite temperature, and baryon and isospin chemical potentials
• The QCD Phase Diagram at Nonzero Temperature, Baryon and Isospin Chemical Potentials in Random Matrix Theory
• A random matrix model for chiral symmetry breaking
• The chiral phase transition in a random matrix model with molecular correlations
• Pion and kaon condensation in a 3-flavor NJL model
• Random matrix model for chiral symmetry breaking and color superconductivity in QCD at finite density
• A Random Matrix Model for Color Superconductivity at Zero Chemical Potential
• A NJL-based study of the QCD critical line
• Chiral Random Matrix Models : Thermodynamics, Phase Transitions and Universality
• QCD at high baryon density in a random matrix model
• Topology and chiral random matrix theory at nonzero imaginary chemical potential
• Temperature dependence in random matrix models with pairing condensates
• UA(1) breaking and phase transition in chiral random matrix model
• Meson Condensations in High-Density Matter
• A chiral random matrix model with 2+1 flavors at finite temperature and density

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• Hydrodynamical Description of the QCD Dirac Spectrum at Finite Chemical Potential