Finite Density Effect in the Gross-Neveu Model in a Weakly Curved $R^1\times S^2$ Spacetime

Abstract

The three-dimensional Gross-Neveu model in $R^1\times S^2$ spacetime is considered at finite particles number density. We evaluate an effective potential of the composite scalar field $\sigma (x)$, which is expressed in terms of a scalar curvature $R$ and nonzero chemical potential $\mu$. We then derive the critical values of $(R,\mu )$ at which the system undergoes the first order phase transition from the phase with broken chiral invariance to the symmetric phase.

RevTeX, minor changes, new references are added

References in corpus (6)

• Quark condensate in a magnetic field
• Dynamical symmetry breaking in curved spacetime -review-
• Chiral Symmetry Breaking in QED in a Magnetic Field at Finite Temperature
• Dynamical symmetry breaking in the external gravitational and constant magnetic fields
• Thermodynamic Gross-Neveu model under constant electromagnetic field
• Three Dimensional Gross-Neveu Model on Curved Spaces

Cited by in corpus (7)

• Finite-size effects in pion condensation phenomena of dense baryonic matter in the NJL${}_2$ model
• Pion condensation of quark matter in the static Einstein universe
• Cooper pairing and finite-size effects in a NJL-type four-fermion model
• Interplay between superconductivity and chiral symmetry breaking in a (2+1)-dimensional model with compactified spatial coordinate
• Temperature induced phase transitions in four fermion models in curved space-time
• Color superconductivity in the static Einstein Universe
• Chiral Phase Structure at Finite Temperature and Density in Einstein Universe