Chiral Phase Structure at Finite Temperature and Density in Einstein Universe

Abstract

The gravitational effect on the chiral phase structure at finite temperature and density is investigated in the framework of Nambu--Jona-Lasinio model in $D$-dimensional ultrastatic Einstein universe. In mean field approximation, the thermodynamic potential and the gap equation determining the curvature, temperature and density dependence of the chiral condensate are analytically derived. In the sense of chiral symmetry restoration and the order of the phase transition, the scalar curvature of the space-time plays similar role as the temperature.

8 pages, 8 figures, published version

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Cited by in corpus (7)

• Analogy between rotation and density for Dirac fermions in a magnetic field
• Pion condensation of quark matter in the static Einstein universe
• Relation Between Chiral Susceptibility and Solutions of Gap Equation in Nambu--Jona-Lasinio Model
• Chiral Modulations in Curved Space I: Formalism
• Gravitational catalysis of chiral and color symmetry breaking of quark matter in hyperbolic space
• The separation of the chiral and deconfinement phase transitions in the curved space-time
• Chiral Modulations in Curved Space II: Conifold Geometries