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Higher Derivative Four-Fermion Model in Curved Spacetime

E. Elizalde·S. Leseduarte·S. D. Odintsov
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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.

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E. Elizalde, S. Leseduarte, S. D. Odintsov. 1994-11-29. Higher Derivative Four-Fermion Model in Curved Spacetime. https://doi.org/10.1016/0370-2693(95)00032-g

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