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arXiv · hep-th/9306023

Nambu-Jona-Lasinio Model in Curved Space-Time

T. Inagaki·T. Muta·S. D. Odinstov
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Abstract

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 $\barψψ$ 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.

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T. Inagaki, T. Muta, S. D. Odinstov. 1993-06-04. Nambu-Jona-Lasinio Model in Curved Space-Time. https://doi.org/10.1142/s0217732393001835

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