Chiral symmetry breaking in the gauged NJL model in curved spacetime.

Abstract

Using the renormalization group (RG) approach and the equivalency between the class of gauge-Higgs-Yukawa models and the gauged Nambu--Jona-Lasinio (NJL) model, we study the gauged NJL model in curved space-time. The behavior of the scalar-gravitational coupling constant \ensuremath{\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 explicitly in a remarkably simple form. The powerful RG-improved effective potential formalism leads to the same results as ladder Schwinger-Dyson equations which have not been formulated yet in curved spacetime. \textcopyright{} 1996 The American Physical Society.