Nambu-Jona-Lasinio Model at the Next-to-Leading Order in 1/N
Abstract
We derived and solved the compositeness condition in the Nambu-Jona-Lasinio model at the next-to-leading order in 1/N, and obtained the expressions for the effective coupling constants in terms of the compositeness scale. In the NJL model with a scalar composite, the next to leading contributions are too large for N=3. In the induced gauge theory with abelian gauge symmetry, the correction term is reasonably suppressed, while, in the SU(Nc) gauge theory with Nf flavors of fermions, the correction is suppressed only for Nf>11Nc/2, complementarily to asymptotic freedom.
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