Diquark and Pion Condensation in Random Matrix Models for two-color QCD

Abstract

We introduce a random matrix model with the symmetries of QCD with two colors at nonzero isospin and baryon chemical potentials and temperature. We analyze its phase diagram and find phases with condensation of pion and diquark states in addition to the phases with spontaneously broken chiral symmetries. In the limit of small chemical potentials and quark masses, we reproduce the mean field results obtained from chiral Lagrangians. As in the case of QCD with three colors, the presence of two chemical potentials breaks the flavor symmetry and leads to phases that are characterized by different behaviors of the chiral condensates for each flavor. In particular, the phase diagram we obtain is similar to QCD with three colors and three flavors of quarks of equal masses at zero baryon chemical potential and nonzero isospin and strange chemical potentials. A tricritical point of the superfluid transitions found in lattice calculations and from an analysis in terms of chiral Lagrangians does not appear in the random matrix model. Remarkably, at fixed isospin chemical potential, for the regions outside of the superfluid phases, the phase diagram in the temperature - baryon chemical potential plane for two colors and three colors are qualitatively the same.

arXiv comment19 pages, 7 figures, RevTeX4

References in corpus (44)

• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• Diquark Bose Condensates in High Density Matter and Instantons
• On the Phase Diagram of QCD
• QCD at finite isospin density
• Random matrix theory and spectral sum rules for the Dirac operator in QCD
• Superconductivity by long-range color magnetic interaction in high-density quark matter
• The spectrum of the QCD Dirac operator and chiral random matrix theory: the threefold way
• The Condensed Matter Physics of QCD
• Random matrix model of QCD at finite density and the nature of the quenched limit
• QCD-like Theories at Finite Baryon Density
• Lattice QCD at finite isospin density at zero and finite temperature
• On two-color QCD with baryon chemical potential
• QCD-like Theories at Finite Baryon and Isospin Density
• The Microscopic Spectral Density of the QCD Dirac Operator
• From chiral Random Matrix Theory to chiral Perturbation Theory
• Numerical Study of Dense Adjoint Matter in Two Color QCD
• Flavor-Mixing Effects on the QCD Phase Diagram at non-vanishing Isospin Chemical Potential: One or Two Phase Transitions?
• Symmetries and spectrum of SU(2) Lattice Gauge Theory at finite chemical potential
• Isospin Chemical Potential and the QCD Phase Diagram at Nonzero Temperature and Baryon Chemical Potential
• Two-colour QCD at non-zero quark-number density
• Quenched lattice QCD at finite isospin density and related theories
• 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
• Diquark Condensate in QCD with Two Colors at Next-to-Leading Order
• A random matrix model for chiral symmetry breaking
• Thermodynamics of chiral symmetry at low densities
• The Phase Diagram of Four Flavor SU(2) Lattice Gauge Theory at Nonzero Chemical Potential and Temperature
• Diquark Condensation at Nonzero Chemical Potential and Temperature
• Behavior of Hadrons at Finite Density -- Lattice Study of Color SU(2) QCD
• Ladder-QCD at finite isospin chemical potential
• The Spectral Density of the QCD Dirac Operator and Patterns of Chiral Symmetry Breaking
• Random matrix model for chiral symmetry breaking and color superconductivity in QCD at finite density
• Random matrix study of the phase structure of QCD with two colors
• Effective Low Energy Theories and QCD Dirac Spectra
• The pseudo-Goldstone spectrum of 2-colour QCD at finite density
• Thermodynamics of strong coupling 2-color QCD with chiral and diquark condensates
• Fermion Condensates in Two Colours Finite Density QCD at Strong Coupling
• Statistical properties of the spectrum of the QCD Dirac operator at low energy
• Probability Distribution Function of the Diquark Condensate in Two Colours QCD
• A Random Matrix Model for Color Superconductivity at Zero Chemical Potential
• Two-colour QCD at finite fundamental quark-number density and related theories
• 3D two-color QCD at finite temperature and baryon density
• Temperature dependence in random matrix models with pairing condensates
• Microscopic spectral density in random matrix models for chiral and diquark condensation

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• Universality of Phases in QCD and QCD-like Theories
• The fate of pion condensation in quark matter: from the chiral limit to the physical pion mass
• Coupling of pion condensate, chiral condensate and Polyakov loop in an extended NJL model
• Singular values of the Dirac operator in dense QCD-like theories
• Matrix Models and QCD with Chemical Potential
• Polyakov-Quark-Meson-Diquark Model for two-color QCD
• Phase diagram of two-color quark matter at nonzero baryon and isospin density
• Chiral Lagrangian and spectral sum rules for dense two-color QCD
• Chiral random matrix theory for two-color QCD at high density
• Modeling Finite-Volume Effects and Chiral Symmetry Breaking in Two-Flavor QCD Thermodynamics
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• Equation of state of imbalanced cold matter from chiral perturbation theory
• Random matrix theory of unquenched two-colour QCD with nonzero chemical potential
• Meson Spectral Functions at Finite Temperature and Isospin Density with Functional Renormalization Group
• BCS-BEC crossover in relativistic Fermi systems
• Comments on Diquarks, Strong Binding and a Large Hidden QCD Scale
• Critical Behavior and Dimension Crossover of Pion Superfluidity
• Pion condensation in a soft-wall AdS/QCD model
• QCD phase diagram at finite isospin chemical potential and temperature in an IR-improved soft-wall AdS/QCD model
• Supersymmetry Method for Chiral Random Matrix Theory with Arbitrary Rotation Invariant Weights
• Analysis of the QCD Kondo phase using random matrices
• Chiral random matrix theory for single-flavor spin-one Cooper pairing
• Random matrix model for chiral and color-flavor locking condensates
• Random matrix model for antiferromagnetism and superconductivity on a two-dimensional lattice
• Large-Nc equivalence and the sign problem at finite baryon density
• Meson Physics in Asymmetric Matter
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