Non-perturbative renormalization group and renormalizability of gauged NJLmodel

Non-perturbative renormalizability, or non-triviality, of the gauged Nambu- Jona-Lasinio (NJL) model in four dimensions is examined by using the non-pe rturbative (exact) renormalization group in the large N-c limit. When the r unning of the gauge coupling is asymptotically free and sufficiently slow, the two-dimensional renormalized trajectory (subspace) spanned by the four- fermi coupling and the gauge coupling is found to exist. This implies renor malizability of the gauged NJL model. In the case of a fixed gauge coupling , renormalizability of the model turns out to be guaranteed by the line of UV fixed points. We also discuss non-triviality of the gauged NJL model ext ended to include higher-dimensional operators and correspondence with the g auge-Higgs-Yukawa system.