Pion condensation of quark matter in the static Einstein universe

Abstract

In the framework of an extended Nambu--Jona-Lasinio model we are studying pion condensation in quark matter with an asymmetric isospin composition in a gravitational field of the static Einstein universe at finite temperature and chemical potential. This particular choice of the gravitational field configuration enables us to investigate phase transitions of the system with exact consideration of the role of this field in the formation of quark and pion condensates and to point out its influence on the phase portraits. We demonstrate the effect of oscillations of the thermodynamic quantities as functions of the curvature and also refer to a certain similarity between the behavior of these quantities as functions of curvature and finite temperature. Finally, the role of quantum fluctuations for spontaneous symmetry breaking in the case of a finite volume of the universe is shortly discussed.

RevTex4; 15 pages, 10 figures

References in corpus (48)

• QCD Phenomenology based on a Chiral Effective Lagrangian
• NJL-model analysis of dense quark matter
• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• Color-Flavor Locking and Chiral Symmetry Breaking in High Density QCD
• Lattice QCD at finite isospin density at zero and finite temperature
• Pion Superfluidity and Meson Properties at Finite Isospin Density
• QCD at finite isospin density: from pion to quark-antiquark condensation
• Two lectures on color superconductivity
• Magnetic Oscillations in Dense Cold Quark Matter with Four-Fermion Interactions
• On the Stability of the Einstein Static Universe
• Magnetic Color Flavor Locking Phase in High Density QCD
• Flavor-Mixing Effects on the QCD Phase Diagram at non-vanishing Isospin Chemical Potential: One or Two Phase Transitions?
• Color-flavor locked superconductor in a magnetic field
• QCD at small non-zero quark chemical potentials
• Quenched lattice QCD at finite isospin density and related theories
• Thermodynamics of the PNJL model with nonzero baryon and isospin chemical potentials
• Dynamical symmetry breaking in curved spacetime -review-
• Color-Superconducting Gap in the Presence of a Magnetic Field
• The chiral condensate in a constant electromagnetic field
• Pion condensation in electrically neutral cold matter with finite baryon density
• Quark droplets stability induced by external magnetic field
• Pion condensation in quark matter with finite baryon density
• QED effective action at finite temperature and density
• Pion Condensation in Baryonic Matter: from Sarma Phase to Larkin-Ovchinnikov-Fudde-Ferrell Phase
• Abnormal number of Nambu-Goldstone bosons in the color-asymmetric 2SC phase of an NJL-type model
• The Influence of an External Chromomagnetic Field on Color Superconductivity
• The Extended Chiral Quark Model and QCD
• Chiral Symmetry Breaking in the Nambu-Jona-Lasinio Model in Curved Spacetime with Non-Trivial Topology
• Pion, sigma-meson and diquarks in the 2SC phase of dense cold quark matter
• Phase structure of renormalizable four-fermion models in spacetimes of constant curvature
• Dynamical chiral symmetry breaking by a magnetic field and multi-quark interactions
• Dynamical Chiral Symmetry Breaking and its Restoration for an Accelerated Observer
• Chromomagnetic Catalysis of Color Superconductivity in a (2+1)-dimensional NJL Model
• Mesons and diquarks in the color neutral 2SC phase of dense cold quark matter
• Dynamical Symmetry Breaking in Spaces with Constant Negative Curvature
• Restoration of Dynamically Broken Chiral and Color Symmetries for an Accelerated Observer
• Magnetization in 2+1 dimensional QED at Finite Temperature and Density
• NJL Model at Finite Chemical Potential in a Constant Magnetic Field
• Mass spectrum of diquarks and mesons in the color--flavor locked phase of dense quark matter
• Chiral Symmetry Breaking in the $d=3$ Nambu-Jona-Lasinio Model in Curved Spacetime
• Quark and pion condensation in a chromomagnetic background field
• Dynamical Chiral Symmetry Breaking and Superconductivity in the Supersymmetric Nambu$-$Jona-Lasinio Model at finite Temperature and Density
• Bose-Einstein condensation as symmetry breaking in compact curved spacetimes
• Finite Density Effect in the Gross-Neveu Model in a Weakly Curved $R^1\times S^2$ Spacetime
• Chiral Phase Structure at Finite Temperature and Density in Einstein Universe
• Color superconductivity in the static Einstein Universe
• NJL model in Four Dimension at Finite Temperature, Chemical Potentialand Curvature
• Diquark condensate and quark interaction with instanton liquid

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• The dual properties of chiral and isospin asymmetric dense quark matter formed of two-color quarks
• Chiral Modulations in Curved Space I: Formalism
• Gravitational catalysis of chiral and color symmetry breaking of quark matter in hyperbolic space
• Curvature and topological effects on dynamical symmetry breaking in a four- and eight-fermion interaction model
• Dual Fermion Condensates in Curved Space
• Chiral Modulations in Curved Space II: Conifold Geometries
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