Random matrix model for chiral symmetry breaking and color superconductivity in QCD at finite density

Abstract

We consider a random matrix model which describes the competition between chiral symmetry breaking and the formation of quark Cooper pairs in QCD at finite density. We study the evolution of the phase structure in temperature and chemical potential with variations of the strength of the interaction in the quark-quark channel and demonstrate that the phase diagram can realize a total of six different topologies. A vector interaction representing single-gluon exchange reproduces a topology commonly encountered in previous QCD models, in which a low-density chiral broken phase is separated from a high-density diquark phase by a first-order line. The other five topologies either do not possess a diquark phase or display a new phase and new critical points. Since these five cases require large variations of the coupling constants away from the values expected for a vector interaction, we conclude that the phase diagram of finite density QCD has the topology suggested by single-gluon exchange and that this topology is robust.

ReVTeX, 22 pages, 14 figures. An animated gif movie showing the evolution of the phase diagram with the coupling constants can be viewed at http://www.nbi.dk/~vdheyden/QCDpd.html

References in corpus (2)

• A Random Matrix Model for Color Superconductivity at Zero Chemical Potential
• Nucleons or diquarks? Competition between clustering and color superconductivity in quark matter

Cited by in corpus (41)

• NJL-model analysis of dense quark matter
• Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
• Color superconducting quark matter
• New Critical Point Induced by the Axial Anomaly in Dense QCD
• Universal results from an alternate random matrix model for QCD with a baryon chemical potential
• The superfluid phases of quark matter: Ginzburg-Landau theory and color neutrality
• Phase structure, collective modes, and the axial anomaly in dense QCD
• Single color and single flavor color superconductivity
• The QCD Phase Diagram at Nonzero Temperature, Baryon and Isospin Chemical Potentials in Random Matrix Theory
• The NJL model of dense three-flavor matter with axial anomaly: the low temperature critical point and BEC-BCS diquark crossover
• Color neutral 2SC phase of cold and dense quark matter in the presence of constant magnetic fields
• Color Superconductivity in Compact Stars
• Massive quark propagator and competition between chiral and diquark condensate
• Massive Quark Propagator in the Color-superconducting Phase
• Singular values of the Dirac operator in dense QCD-like theories
• Matrix Models and QCD with Chemical Potential
• Chiral Lagrangian and spectral sum rules for dense two-color QCD
• Random matrix study of the phase structure of QCD with two colors
• Chiral random matrix theory for two-color QCD at high density
• Diquark and Pion Condensation in Random Matrix Models for two-color QCD
• Microscopic correlations of non-Hermitian Dirac operators in three-dimensional QCD
• The solution of a chiral random matrix model with complex eigenvalues
• Number of the QCD critical points with neutral color superconductivity
• Another chiral critical end-point induced by neutral color superconductivity
• QCD at high density/temperature
• New Critical Matrix Models and Generalized Universality
• Temperature dependence in random matrix models with pairing condensates
• Random matrix models for phase diagrams
• Microscopic spectral density in random matrix models for chiral and diquark condensation
• Some aspects of color superconductivity: an introduction
• Temperature-reflection I: field theory, ensembles, and interactions
• Random matrix model at nonzero chemical potentials with anomaly effects
• Chiral random matrix theory for single-flavor spin-one Cooper pairing
• Analysis of the QCD Kondo phase using random matrices
• Relativistic Cooper pairing in the microscopic limit of chiral random matrix theory
• Random matrix model for chiral and color-flavor locking condensates
• BCS vs Overhauser pairing in dense (2+1)d QCD
• Chiral random matrix theory for colorful quark-antiquark condensates
• Random matrix model for antiferromagnetism and superconductivity on a two-dimensional lattice
• Absence of coexisting phase of quark-antiquark and diquark condensed phases in the extended Gross-Neveu model in $2+1$ dimensions
• Meson Exchange Effect on Color Superconductivity