Modern Physics Letters A · 1993 · 64 citations · 0 references
Natural SciencesPhysicsCondensed Matter PhysicsQuantum MechanicsTheoretical PhysicsCurved SpacetimeGauge TheoryIntegrable SystemsQuantum Field TheoryComposite FermionsCurvatureFirst-order Phase TransitionsNormal Coordinate AnalysisPhase Structure PredictionSpace-time Curvature In CosmologyStrong Coupling Constant
The phase structure of Nambu-Jona-Lasinio model with N-component fermions in curved space-time is studied in the leading order of the 1/N expansion. The effective potential for composite operator [Formula: see text] is calculated by using the normal coordinate expansion in the Schwinger proper-time method. The existence of the first order phase transition caused by the change of the space-time curvature is confirmed and the dynamical mass of the fermion is calculated as a simultaneous function of the curvature and the four-fermion coupling constant. The phase diagram in the curvature and the coupling constant is obtained.