Nambu-Jona-Lasinio Model in Curved Space-Time

Details Nambu-Jona-Lasinio Model in Curved Space-Time Nambu-Jona-Lasinio Model in Curved Space-Time

1993-06-04

arxiv.org/abs/hep-th/9306023v1

Mod.Phys.Lett.A8:2117-2124,1993

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, 3 figures not included, uses LaTeX, HUPD-9314

Scientific paper

10.1142/S0217732393001835

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 $\bar{\psi}\psi$ 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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