Higher Derivative Four-Fermion Model in Curved Spacetime

Abstract

We discuss the phase structure of a higher derivative four-fermion model in four dimensions in curved spacetime in frames of the $\frac{1}{N_c}$-expansion. First, we evaluate in our model the effective potential of two composite scalars in the linear curvature approximation using a local momentum representation in curved spacetime for the higher-derivative propagator which naturally appears. The symmetry breaking phenomenon and phase transition induced by curvature are numerically investigated. A numerical study of the dynamically generated fermionic mass, which depends on the coupling constants and on the curvature, is also presented.

LaTeX, 10 pages, 8 figures in separate uu-file

References in corpus (2)

• Nambu-Jona-Lasinio Model in Curved Space-Time
• Chiral Symmetry Breaking in the Nambu-Jona-Lasinio Model in Curved Spacetime with Non-Trivial Topology

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• Chiral symmetry and curvature bounds in de Sitter spacetime