CHIRAL-SYMMETRY BREAKING IN THE GAUGED NJL MODEL IN CURVED SPACETIME

Using the renormalization group (RG) approach and the equivalency betw een the class of gauge-Higgs Yukawa models and the gauged Nambu-Jona-L asinio (NJL) model, we study the gauged NJL model in curved space-time . The behavior of the scalar-gravitational coupling constant xi(t) in both theories is discussed. The RG-improved effective potential of the gauged NJL model in curved spacetime is found. The curvature at which chiral symmetry in the gauged NJL model is broken is obtained explici tly in a remarkably simple form. The powerful RG-improved effective po tential formalism leads to the same results as ladder Schwinger-Dyson equations which have not been formulated yet in curved spacetime.