Compositeness Condition at the Next-to-Leading Order in the Nambu-Jona-Lasinio Model

Abstract

We investigate the compositeness condition in four dimensions at the non-trivial order (next-to-leading order in $1/N$ with the number $N$ of the colors), taking the Nambu-Jona-Lasinio model as an example. In spite of its non-renormalizability, the compositeness condition can be successfully derived and solved in compact forms. The resultant problems are discussed.